Existence Result for Stochastic Impulsive Differential Inclusions
Автор(ы):
M. O. Ogundiran
Department of Mathematics,
Obafemi Awolowo University,
Ile-Ife. Nigeria
mogundiran@oauife.edu.ng
Аннотация:
We establish the existence of solution of Stochastic impulsive
differential inclusion in infinite dimensional space. We employed
fixed point theorem for multivalued map to obtain the solution.
Ссылки:
- Ahmed, N. U. Non linear stochastic differential inclusions on Banach space, Stoch. Anal. Appl. 12, (1994), 1-10
- Aubin , J. P. and Cellina, A. Differential Inclusions, Springer- Verlag, Berlin, 1984
- Benchohra, M. , Henderson, J. and Ntouyas, S. K. Impulsive differential equations and inclusions Hindawi Publishing Corporation, vol 2., New York, 2006
- Cernea, A. On an Evolution inclusion in non-separable Banach spaces Opuscula Mathematica, 2, 131-138, (2009)
- Deimling, K. Multivalued differential equations, Walter de Gruyter, 1992
- Es-Sarhir, A. Existence and uniqueness of invariant measures for a class of transition semigroups on Hilbert spaces J. Math. Anal Appl. , 353, 497-507, (2009)
- Kisielewicz, M. Stochastic representation of partial differential inclusions J. Math. Anal Appl. , 353, (2009), 592-606
- V. Lakshmikantham, V., Bainov, D. D. and Simenov, P. S. Theorem of Impulsive Differential Equations , World Scientific, Singapore, 1989
- A. Lasota, A. and Opial, Z. An application of the Kakutani-Ky-Fan theorem in the theory of ordinary differential equations. Bull. Acad. Pol. Sci. Ser. Sci. Math. Astronom. Phys., 13, (1965), 781-786
- Michael, E. Continuous selections, I and II, Annals of Math. 63; 64, (1956), 361-382, 562-580
- Ning, H. W. and Liu, B. Existence results for impulsive neutral stochastic evolution inclusions in Hilbert space, Acta Math. Sinica, English series 27, 7, (2011), 1405-1418
- Pan, L. Existence of mild solution for impulsive stochastic differential equations with nonlocal conditions Diff. Equat. and Appl. 4, 3, (2012), 485-494
- Prato, G. D. and Zabczyk, J. Stochastic Equations in Infinite Dimensions, Cambridge University Press, Cambridge, 1992
- Shen, L. J. and Sun, J. T. Existence and uniqueness of mild solutions for non linear stochastic impulsive differential equation, Abstract and Applied Anal. vol. 2011, ID 439724, (2011), 1-10
- E. Zeidler, E. Nonlinear Functional Analysis and Its Applications, I. Fixed-Point Theorems, Springer, New York, 1986.