[b][u]PUBLICATIONS[/u][/b] (i)     [b][u]Books or chapters in books already published:[/u][/b] [1] AYOOLA, E. O. (2008): MAT 351: Numerical Analysis, Theory and Computations, [b][u]Ibadan Distance Learning Centre Series in Mathematics,[/u][/b] Publisher: [b]Distance Learning Centre, University of Ibadan[/b], 140 pages. ISBN 928-021-355-4. [2] AYOOLA, E. O. (2008): Ordinary Differential Equations and Applications,[b] Publisher: GOLD Printing and Publishing, Ibadan,[/b] 155 pages. [b]ISBN 978 - 245 - 832 - 5.[/b] (ii)    [b][u]Patents:[/u][/b]  Nil (iii)    [b][u]Articles that have already appeared in Learned Journals:[/u][/b] [3] AYOOLA, E.O. (1998). Solutions of Lipschitzian quantum stochastic differential equations in a locally convex space. [b][u]Journal of Science Research,[/u][/b] [b][u]Faculty of Science, University of Ibadan, Vol. 4, No. 1, 15 - 23[/u][/b]}. [4]    AYOOLA, E.O. (1999).  Discrete approximations of weak solutions of a class of quantum stochastic evolution equations. [b][u]Journal of Science Research, Faculty of Science, University of Ibadan, Vol. 5, No.1, 17 - 24.[/u][/b] [5]    AYOOLA, E.O. (1999).  Error estimations in the Gauss and Newton Cotes quadrature schemes for weak solutions of quantum stochastic differential equations. [b][u]Journal of the Nigerian Association of Mathematical Physics, Vol. 3 No. 1, 12-35.[/u] Publisher: NAMP, Benin City, Nigeria.[/b] [6]    AYOOLA, E.O. (2000).Converging multistep schemes for weak solutions of quantum stochastic differential equations. [b][u]Stochastic Analysis and Applications, Vol. 18, No. 4, 525 - 554. [/u][/b] [b]Publishers: Marcel Dekker Inc, New York, USA. [/b]Mathematical Review: [b]MR 2001e:81065[/b], Zentralblatt Math: [b]Zbl 0964.60070. [/b]cited in [b]ISI Web of Science/Journal Citation Reports[/b]. [7]    AYOOLA, E.O. (2000).  Convergence of general multistep schemes for weak solutions of quantum stochastic differential equations. [b][u]Proceedings of the National Mathematical Centre - Ordinary Differential Equations - Vol. 1, No.1, 43 – 55[/u][/b]. Publishers:  [b]NMC,[u] [/u]Abuja, Nigeria. MR: 2004e:81072.[/b]   [8]    AYOOLA, E.O. (2001). On Convergence of one-step schemes for weak solutions of quantum stochastic differential equations. [b][u]Acta Applicandae Mathematicae, Vol. 67, No. 1, 19 - 58.  [/u][/b]Publishers: [b]Kluwer Academic Publishers, The Netherlands. [/b]Mathematical Review: [b]MR 2002f: 65017[/b], Zentralblatt Math: [b]Zbl 0998.60056.[/b]  Cited in[b] ISI Web of Science/Journal Citation Reports[/b]. [9]    AYOOLA, E.O. (2001). Lipschitzian quantum stochastic differential equations and the associated Kurzweil equations. [b][u]Stochastic Analysis and Applications, Vol. 19, No. 4, 581-603.  [/u][/b]Publishers: [b]Marcel Dekker Inc., New York, USA.[/b] Mathematical Review: [b]MR: 2002g: 81078[/b], Zentralblatt Math: [b] Zbl 0987.60072[/b]. Cited in[b] ISI Web of Science/Journal Citation Reports[/b].[b] [/b]  [10] AYOOLA, E.O. (2001). Construction of approximate attainability sets for Lipschitzian quantum stochastic differential inclusions.  [b][u]Stochastic Analysis and Applications, Vol. 19, No. 3, 461 - 471.[/u][/b] Publishers: [b]Marcel Dekker Inc, New York, USA.  [/b]Mathematical Reviews: [b]MR 2002f:65018[/b], Zentralblatt Math:  [b]Zbl 0985.60064[/b]. Cited in [b]ISI Web of Science/Journal Citation Reports[/b]. [11] AYOOLA, E.O. (2002). Lagrangian quadrature schemes for computing weak solutions of quantum stochastic differential equations.  [b][u]SIAM Journal on Numerical Analysis, Vol. 39, No. 6, 1835 - 1864[/u][/b]. Publishers: [b]SIAM Publications, Philadelphia, USA[/b].  Mathematical Review: [b]MR: 2003e: 60121[/b], Zentralblatt Math: [b]Zbl 1008.60077. [/b]Cited in[b] ISI Web of Science/Journal Citation Reports[/b].[b] [/b] [12]  AYOOLA, E. O.  (2002). On Computational procedures for weak solutions of quantum stochastic differential equations. [b][u]Stochastic Analysis and Applications, Vol. 20, No. 1, 1 - 20[/u][/b].  Publishers: [b]Marcel Dekker Inc, New York, USA[/b]. Mathematical Review: [b]MR: 2002m: 81124[/b], Zentralblatt Math: [b]Zbl 1009.81031.  [/b]Cited in[b] ISI Web of Science/Journal Citation Reports[/b]. [13]  AYOOLA, E. O.  (2002). Existence and stability results for strong solutions of quantum stochastic differential equations. [b][u]Stochastic Analysis and Applications, Vol. 20, No. 2, 263 - 281[/u][/b].  Publishers: [b]Marcel Dekker Inc, New York, USA[/b].  Mathematical Review: [b]MR: 2003b: 60081[/b], Zentralblatt Math: [b]Zbl 0997.60063[/b]. Cited in [b]ISI Web of Science/Journal Citation reports[/b]. [14]  AYOOLA, E. O. (2003).  Exponential formula for the reachable sets of quantum stochastic differential inclusions.  [b][u]Stochastic Analysis and Applications, Vol. 21, No. 3, 515 - 543[/u][/b].  Publishers: [b]Marcel Dekker Inc, New York, USA.[/b]  Mathematical Review: [b]MR 2004e: 81073[/b], Zentralblatt Math: [b]Zbl 1047.81048[/b].  Cited in [b]ISI Web of Science/Journal Citation Reports[/b]. [15] AYOOLA, E.O. (2003). Error Estimates for discretized quantum stochastic differential inclusions. [b][u]Stochastic Analysis and Applications,  Vol. 21, No. 6, 1215 - 1230[/u][/b].  Publishers: [b]Marcel Dekker Inc, New York, USA.  [/b]Mathematical Review: [b]MR: 2005a: 60109[/b], Zentralblatt Math: [b] Zbl 1033.60068[/b].  Cited in [b]ISI Web of Science/Journal Citation Reports[/b]. [16]  AYOOLA, E. O. (2004). On the properties of weak solutions of Lipschitzian quantum stochastic differential equations. [b][u]Journal of the International Centre for Mathematical[/u][/b] [b][u]and Computer  Sciences, (ICMCS, Lagos,  Nigeria.), Vol. 1. 361- 369.[/u][/b]  Publishers: [b]ICMCS Publications, Lagos, Nigeria. [/b]Mathematical Review: [b]MR:  2005j:00013[/b]. [17]  AYOOLA, E. O., GBOLAGADE, A.W. (2004). On the existence of Weak Solutions of Quantum Stochastic Differential Equations. [b][u]J. Nigerian Association of Mathematical Physics[/u][/b], Vol. 8 (2004), 5-8.  [b]MR: 2007i: 81131[/b]. [18]  AYOOLA, E. O. (2004).Continuous selections of solution sets of Lipschitzian quantum stochastic differential inclusions.[b][u] International Journal of Theoretical Physics , Vol. 43,  No. 10 , 2041 – 2059[/u]. [/b]Publishers: [b]Springer Science, The Netherlands[/b].  Mathematical Review: [b]MR: 2005i: 81076[/b], Zentralblatt Math: [b]Zbl 1074.81041[/b]. Cited in [b]ISI Web of Science/Journal Citation Reports[/b]. [19]  AYOOLA, E. O. and  GBOLAGADE, A. W (2005)  Further results on the existence, uniqueness and stability of strong solutions of quantum stochastic differential equations. [b][u]Applied Mathematics Letters. Volume 18, 219 - 227[/u][/b]. [b] [/b]Publishers: [b]Elseviers Science, USA[/b]. Mathematical Review: [b]MR: 2005m:81179[/b]. Zentralblatt fur Math: [b]Zbl 1071.81071[/b]. Cited in [b]ISI Web of Science/Journal Citation Reports[/b]. [20]  AYOOLA, E. O; ADEYEYE, JOHN: (2007) Continuous interpolation of solution sets of Lipschitzian quantum stochastic differential inclusions. [b][u]Journal of Applied Mathematics and Stochastic Analysis[/u][/b], [b][u]Volume 2007 (2007), Article ID 80750, 12 pages, doi: 10.1155/2007/80750[/u][/b]. Publishers: [b]Hindawi Publishers, New York, USA[/b].  [b]AMS Mathematical Review: 2008m: 65012[/b]. [21]  ATONUJE, A. O; AYOOLA, E. O. (2007): On noise contribution to the oscillatory behavior of solutions of stochastic delay differential equations. [b][u]Journal of the Institute of Mathematics and Computer Sciences (Computer Science Series), Volume 18, No.2, 51 – 59[/u][/b].  Publishers: [b]Indian Mathematics institute, India[/b]. [b]AMS Mathematical Review Number: MR 2387478[/b]. [22]  AYOOLA, E. O: (2007) : On the properties of Continuous selections of solution and reachable sets of quantum stochastic differential inclusions. [b][u]Journal of the Nigerian Association of Mathematical Physics, Vol. 11, 71 - 82[/u][/b].  Publishers: [b]Nigerian Association of Mathematical Physics[/b]. [23]  AYOOLA, E. O (2008): Further results on the existence of continuous selections of solution sets of quantum stochastic differential inclusions.   [b][u]Dynamic Systems and Applications, Volume 17, 609 - 624[/u][/b]. Publishers: [b]Dynamic Publishers, Atlanta, Georgia, USA[/b]. [b]AMS Mathematical Review: MR 2011d:81177[/b]. [24]  AYOOLA, E. O. (2008): Quantum stochastic differential inclusions satisfying a general Lipschitz condition. [b][u]Dynamic Systems and Applications, volume 17, 487-502[/u][/b]. Publishers: [b]Dynamic Publishers, Atlanta, Georgia, USA)[/b]. [b]AMS Mathematical Review: MR: 2011d: 81176[/b]. [25] AYOOLA, E. O. (2008): Topological properties of solution sets of Lipschitzian quantum stochastic differential inclusions. [b][u]Acta Applicandae Mathematicae, Volume 100, Number 1, 15 - 37[/u][/b]. Publishers: [b]Springer Science + Business Media[/b].  [b]AMS Mathematical Review: 2008k: 81174[/b]. [26] NJOSEH, IGNATIUS N.; AYOOLA, EZEKIEL O. (2008): Finite element method for a strongly damped stochastic wave equation driven by space - time noise.  [b][u]Journal of Mathematical Sciences, Volume 19, Number 1, 61 - 72[/u][/b]. Publishers: [b]International Center for Advance Studies, Dattapukur, India[/b].  [b]AMS Mathematical Review: MR 2009e: 65016[/b]. [27]  ATONUJE, A.O.; AYOOLA, E. O. (2008): On the complementary roles of noise and delay in the oscillatory behavior of stochastic delay differential equations. [b][u]Journal of Mathematical Sciences, Volume 19, Number 1, 11-20[/u][/b].  Publishers: [b]International Center for Advance Studies, Dattapukur, India[/b].  [b]AMS Mathematical Review: MR 2009h: 60103[/b]. [28]  ATONUJE, A.O.; AYOOLA, E. O. (2008): Oscillation in solutions of stochastic delay differential equations with real coefficients and several constant time lags. [b][u]Journal of the Nigerian Association of Mathematical Physics, Volume 13, November 2008, 87 -94[/u][/b]. Publisher: [b]Nigerian Association of Mathematical Physics, Nigeria[/b]. [29]  NJOSEH, IGNATIUS N., AYOOLA, EZEKIEL O. (2009): Maximum-Norm Error Estimate for a Strongly Damped Stochastic Wave Equation. [b][u]Journal of Mathematical Sciences, Vol. 20; No. 1, 21-30[/u][/b]. [b]AMS Mathematical Review: MR 2010d: 60153[/b]. [30]  OGUNDIRAN, M.; AYOOLA, E. O. (2010): Mayer Problems for Optimal Quantum Stochastic Control.   [b][u]Journal of Mathematical Physics, Vol. 51, 023521, doi: 10.1063/1.3300332[/u][/b]. Publisher: [b]American Institute of Physics (AIP), Jan 2010.  AMS Mathematical Review MR 2011d: 81180[/b]. [31]  OGUNDIRAN, M.O.; AYOOLA, E.O. (2011): Directionally Continuous Quantum Stochastic Differential Equations. [b]Far East Journal of Applied Mathematics, volume 57, No. 1, 33-48, 2011.  [/b]Publisher:[b] Pushpa Publishing House, Allahabad, India[/b].  AMS Mathematical Review in process. [32]  OGUNDIRAN, M.O.; AYOOLA, E.O. (2011): Upper Semicontinuous Quantum Stochastic Differential Inclusions Via Kakutani- Fan Fixed Point Theorem. [b][u]Dynamic Systems and Applications Volume 21, 121-132 (2012)[/u][/b].  [b]Publisher: Dynamic Publishers, NY, USA[/b].  AMS Mathematical Review in process. [33]  OGUNDIRAN, M. O.; AYOOLA, E.O. (2012): An Application of Michael Selection Theorems.  [b]International Journal on Functional Analysis, Operator Theory and Applications, Vol. 4, No. 1, 65-79, 2012[/b].  Publisher: Pushpa Publishing House, Allahabad, India.  AMS Mathematical Review in process. [34]  OGUNDIRAN, M.O.; AYOOLA, E.O. (2012): Caratheodory Solution of Quantum Stochastic Differential Inclusions.  [b][u]Journal of the Nigerian Mathematical Society, Vol. 31 (2012), 81-90[/u][/b].  AMS Mathematical Review in process.   (iv)   [b][u]Books, Chapters in Books and Articles already accepted for Publications:[/u] Nil[/b] (v)    [b][u]Technical Report and/or Monographs:[/u][/b] [35]  AYOOLA, E.O. (2001): Strongly stable multistep schemes for a class of quantum stochastic differential equations. [b][u]ICTP Preprint No. IC/2001/53[/u][/b]. Published at the URL: http://www.ictp.trieste.it/$\sim$pub$\_$off [36]  AYOOLA, E. O. (2002): Approximate solutions of quantum stochastic differential equations and applications to stochastic models for T cell dynamics.  [b][u]Proceeding of the RAMAD International Conference on Bio-Mathematics, Bamako, Mali, July 01 - 13, 2002[/u][/b].  Abstract published at the URL: http://www.chez.com/ramad/ayoola2002.htm [37]  AYOOLA, E. O: (2006):  Implicit Multistep schemes for solving a system of quantum stochastic differential equations.  A peer-reviewed paper in the [b][u]Proceedings of the International Conference on New Trends in Mathematical and Computer Sciences and Applications[/u][/b] [b][u]to Real World Problems, C. K. Ayo, C. R. Nwozo, etc (eds),[/u][/b]  [b][u]June 19-23, 2006, Covenant University, Ota, Nigeria,  595 -620[/u][/b]. [38]  AYOOLA, E. O: (2006):  Non-commutative quantum formulation of classical stochastic differential equations, quadrature solutions and applications to financial mathematics. An invited seminar paper presented as a Visiting Professor at the [b][u]Department of Mathematics and Applied Mathematics, University of Pretoria, South Africa, Monday, December 4, 2006, 18 pages[/u][/b].     [b]Groups of Publications Reflecting My Current Research Focus[/b] (i) Following the establishment of the existence of solutions and some qualitative aspects of Lipschitzian quantum stochastic differential inclusions by Ekhaguere in 1992, utilizing the framework of Hudson and Parthasarathy formulation of quantum stochastic calculus, I proposed, developed and studied in paper [6], multistep schemes for solving numerically Lipschitzian quantum stochastic differential equation (LQSDE) of the form:   stochastic calculus. Convergence of the discrete schemes to the exact solutions and error estimates were obtained for explicit scheme of class A in the locally convex space of solutions. Results published in [6] contain the Euler - Maruyama schemes for Ito stochastic differential equations as a special case. Numerical examples were given. Explicit and exact solutions of LQSDE (1) are rarely available making the search for approximate solutions a necessary and worthwhile endeavour. Prior to the publication of paper [6], very little, if any at all, was known about the features of numerical solutions of LQSDE (1). As LQSDE (1) is a noncommutative generalization of the classical Ito stochastic differential equation (Ito SDE), driven by Brownian motion, the implementation of the multistep schemes and other discrete schemes developed in my subsequent works completely eliminated the need for the computation of random increments by random number generators as obtained in the implementation of stochastic Taylor schemes for simulation of sample paths and functionals of solutions of classical Ito SDE. This paper has opened further research directions concerning the refinement of the schemes in several ways as well as study of numerical stability associated with the multistep schemes. See the AMS Mathematical Review of paper [6] by [b]K. R. Parthasarathy [/b]in MATHSCINET online with review number: [b]MR 2001e:81065[/b].   (ii) Paper [8] is concerned with the development, analysis and applications of several one-step schemes for computing weak solutions of LQSDE (1). The work was accomplished in the framework of Hudson and Parthasarathy formulation of quantum stochastic calculus and subject to the matrix elements of solution being sufficiently differentiable. The results here concern non commutative generalization of the usual Euler scheme, Runge - Kutta schemes and an integral scheme for computing solutions of LQSDE (1).The paper contains results for the Ito SDE as a special case with Ito processes as multiplication valued operators in a simple Fock space. The schemes here exhibit important implementation benefits as in paper [6]. Paper [8] is 40 page long and contains the main existence results of paper [3] as appendix as well as some numerical experiments to illustrate the main features of the different schemes and their error estimates. The one step schemes here also generalize discrete schemes reported in papers [3, 4, 5]. Extension of the results here to the case of continuous time Euler approximation scheme and a computational scheme under Caratheodory conditions was undertaken in [12]. This paper has created further research questions involving extensions to LQSDE (1) of various improvements already established for classical discrete schemes in the finite dimensional setting. See the mathematical review of paper [8] by [b]Rolando Rebolledo Berroe [/b]in Zentralblatt Mathematics Database with review number: [b]Zbl 0998.60056[/b] and the Abstract in the AMS Mathematical Review with number [b]MR 2002f:65017[/b].   (iii) In paper [9], I introduced and studied Kurzweil equations associated with LQSDE (1). Non commutative quantum extensions of classical Kurzweil integrals and some technical results were established. In addition, I proved the interesting equivalence between LQSDE (1) in integral form and the Kurzweilapproximate solutions of LQSDE (1) by utilizing established results on Kurzweil integrals and equations was afforded by the equivalence results. It was shown in the paper that the associated Kurzweil equation may be used to obtain reasonably high accurate solutions of LQSDE (1). This paper extends established relationship between Lebesgue and Kurzweil integrals to quantum stochastic integrals.  The work here generalize some numerical results in paper [8] since the results in [9] hold under pure Caratheodory conditions where the matrix elements of solutions need not be differentiable more than once.  The result here also generalizes several analogous results for classical initial value problems to the non-commutative quantum setting involving unbounded linear operators on a Hilbert space. Further research problems have been opened by this paper concerning the issue of variational stability of LQSDE (1). See the AMS Review of paper [9] by [b]Debashish Goswami[/b] in MATHSCINET online with review number [b]MR 2002g: 81078[/b]. (iv) In paper [10], I presented a numerical method for constructing with a specified   for numerically approximating the attainability set within any prescribed accuracy. Results here generalize an analogous classical result of Komarov and Pevchikh to noncommutative quantum stochastic differential inclusion (3). Attainability sets are important for several characterization of the set of trajectories of LQSDI (3). In Paper [24], I established the existence of solutions of QSDI (3) satisfying a general Lipschitz condition. The Lipschitz condition of paper [10] is a special case. Extension of the numerical algorithm of paper [10] to general case is still open.  See the AMS review of paper [10] by [b]Volker Wihstutz[/b] in MATHSCINET online with review number [b]MR 2002f:65018[/b]. (v) Paper [11] is devoted to the analysis of the Lagrangian quadrature schemes for computing weak solutions of LQSDE (1) with matrix elements that are sufficiently smooth. Results concerning the convergence of Lagrangian schemes to exact solutions were obtained. Precise estimates for an error term were given in the case when the nodes of approximations are chosen to be roots of the Chebyshev polynomials. Some important features of the quadrature schemes are the conversion of LQSDE (1) to solvable algebraic equations in term of the nodal values and that the nodes need not be equally spaced. This paper established the possibility of applying numerous results in linear and computer algebra for investigating numerical solutions to LQSDE (1).  Numerical experiments were performed by solving associated linear systems taking into consideration, computational complexity of the algorithm and round off errors. See the AMS review of this paper by [b]Vassili N. Kolokoltsov[/b] in MATSCINET online with review number [b]MR 2003e:60121[/b].   (vi) In Paper [25], I established a continuous mapping of the space of the matrix elements of an arbitrary nonempty set of quasi solutions of Lipschitzian QSDI (3) into the space of the matrix elements of its solutions.  As a corollary, I furnished a generalization of my previous selection result in paper [18]. In particular, when the coefficients of the inclusion are integrally bounded, it was shown that the space of the matrix elements of solutions is an absolute retract,   contractible, locally and integrally connected in an arbitrary dimension. As usual, we employ the Hudson and Parthasarathy formulation of quantum stochastic calculus. See the mathematical review of paper [25] by [b]Vassili N. Kolokoltsov[/b] in the AMS Mathematics Review.   (vii) In paper [13], the existence, uniqueness and stability of strong solutions of LQSDE (1) were established. The locally convex topology on the space of quantum stochastic processes in this case is generated by a family of seminorms induced by the norm of the Fock space. The second fundamental formula of Hudson and Parthasarathy concerning the estimate of the square of the norm of the values of stochastic processes on exponential vectors facilitates the existence results by method of successive approximations. Results here generalize analogous results concerning classical SDE driven by Brownian motion.  Convergence in the sense of this paper generalize the root mean square convergence of successive approximation in the case of classical Ito process considered as quantum stochastic process in a simple Fock space.  The work in [19] is a continuation of [13] concerning the existence and stability of solutions of QSDE satisfying a general Lipschitz condition in the strong topology. Paper [19] established a class of Lipschitzian QSDE where the coefficients are merely continuous on the locally convex space of stochastic processes. See the AMS Mathematical Review of paper [13] by [b]Vassili N. Kolokoltsov[/b] in MATHSCINET online with review number [b]MR 2003b: 60081[/b].   (viii) Paper [14] is my second major work on quantum stochastic differential inclusions (QSDI). The paper is a continuation of my previous work in paper [10] concerning QSDI (3) where the coefficients are assumed to have suitable regularity properties. The basic setup of the paper is that of multivalued functions with appropriately defined multivalued stochastic integrals. By endowing the family of closed subsets of the locally convex space of quantum stochastic processes with a Hausdorff topology, the paper established the following exponential formula:   where is the reachable set of QSDI (3), [i]I[/i] is the identity multifunction. Repeated composition of multifunctions is understood in some sense and the limit in Equation (4) is interpreted as the Kuratowski limit of sets. Equation (4) has a direct consequence for the convergence, to the exact value, of discrete approximations to the reachable set. The basic motivation for considering QSDI (3) concerns the need to develop a reasonable numerical scheme for solving QSDE (1) with discontinuous coefficients since many of such interesting QSDE can be reformulated as QSDI with regular coefficients. See the AMS review of paper [14] by [b]Debashish Goswami[/b] in the MATHSCINET online with review number [b]MR 2004e:81073[/b].   (ix) Paper [15] is a continuation of my study of discrete approximation of QSDI (3). This paper is concerned with the error estimates involved in the solution of a discrete version of QSDI (3). The main results rely on some  properties of the averaged modulus of continuity for multivalued sesquilinear forms associated with QSDI (3). The paper established a sharp estimate for the Hausdorff distance between the set of solutions of QSDI (3) and the set of solutions of its discrete approximation. This paper extends the result of Dontchevand Farkhi (1989) concerning classical differential inclusions to the present noncommutative quantum setting involving inclusions in certain locally convex spaces. See the AMS review of this paper by [b]Habib Querdiane[/b] in MATHSCINET online with review number [b]MR 2005a: 60109[/b].   (x) Paper [18] established the existence of continuous selections of solution set of Lipschitzian QSDI (3). Precisely, the paper proved that ifnumbers. As corollaries to the main result, I proved that the solutions set map as well as the reachable sets of QSDI (3) admit some continuous representations. A search in the AMS Mathematical Reviews and the ISI Web of Science databases showed that paper [18] is the first known selection result concerning QSDI (3) in the framework of the Hudson - Parthasarathy formulation of quantum stochastic calculus. Consequently, the paper has opened further research questions in respect of the refinement, generalization and applications of the selection results in parallel with the classical cases of differential inclusions in finite dimensional Euclidian spaces. Paper [23] is a follow up publication. I showed that a continuous selection from the set of solutions exists directly defined on the space of stochastic processes with values in the space of adapted weakly absolutely continuous solutions.  As a corollary, the reachable set multifunction admits a continuous selection. Also paper [20] published jointly with John Adeyeye extended the selection results in [18] as an interpolation to cover a finite number of trajectories.  See the AMS Mathematical review of paper [23] by [b]Alexander C. R. Belton[/b] in MATHSCINET online with review number [b]MR 2005i:81076[/b]. As evidence of the high impact factors of the journals where these publications appeared, abstracts of the papers can be accessed in the database of the well- known [b]Thomson ISI Web of Science[/b]. The web consists of abstracts of articles published by the world's most prestigious and influential journals in the basic and applied sciences.   [b][u]Some Major Conferences Attended[/u][/b] (i) Annual Conference of Nigerian Mathematical Society, 1997 - to date (ii) Conference on O.D.E. organised by the National Mathematical Centre, Abuja, 28-30 July, 2000. (iii) The Abdus Salam International Centre for Theoremtical Physics, Italy, Mathematics Seminar, June 18, 2001. (iv) School and Workshop on Dynamical Systems, The Abdus Salam ICTP, Italy, 30 July - 17 August 2001. (v) Summer School on Mathematical Control Theory, The Abdus Salam ICTP, Italy, 3 - 28 September, 2001. (vi) International Workshop on Modeling Bio-Medical Signals, Physics Department, University of Bari, Italy, 20 - 22 September, 2001. (vii) School and Conference on Probability Theory, The Abdus Salam ICTP, Italy, 13-31 May, 2002. (viii)  RAMAD International Conference on BioMathematics, Bamako, Mali, 01 - 13 July, 2002. (ix)   Workshop on Modeling in Life and Material Sciences and in Technology, The Abdus Salam ICTP, Trieste, Italy, 8 March - 2 April, 2004. (x)    Web Enabling Technologies and Strategies for Scientific e - Learning, The Abdus Salam ICTP, Trieste, Italy, 14 - 23 April, 2004. (xi) First Research Visit to the Abdus Salam ICTP, Trieste, Italy under the Regular Associateship Award, March 8 - June 12, 2004. (xii) International Conference on Differential Equations and Mathematical Physics, Department of Mathematics, University of Alabama at Birmingham, USA, March 29 - April 2, 2005. (xiii) Frankfurt MathFinance Workshop: Derivatives and Risk Management in Theory and Practice, April 14 - 15, 2005, Frankfurt, Germany. (xiv)    Workshop in Stochastic Analysis and Applications in Finance, Max Planck Institute for Mathematics in the Sciences, April 20 - 22, 2005, Leipzig, Germany. (xv)  Second Research Visit to the Abdus Salam ICTP, Trieste, Italy, under the Regular Associateship  Award , August 20 - November 17, 2006. (xvi)  Visiting Professor, Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria, South Africa, November 27, 2006 - December 11, 2006. (xvii) Annual Meeting, Nigerian Mathematical Society, Department of Mathematics, University of Ado Ekiti, Nigeria, July 10-12, 2011. (xviii) Joint Annual Meeting, American Mathematical Society, Hyne Convention Center, Boston, January 4 - 11, 2012. Workshop in Stochastic Analysis and Applications. (xviii) Annual Meeting, Nigerian Mathematical Society, Ahmadu Bello University, Zaria, Nigeria, October 2-5, 2012. (xix)  Nigerian Association of Mathematical Physics, Redeemer University, Mowe, November 6-9, 2012. (xx) Annual Meeting, Nigerian Mathematical Society, Obafemi Awolowo University, June 26-28, 2013. Professor E.O. Ayoola Updated July 10, 2013