NON-CONVEX RANDOM DIFFERENTIAL INCLUSION
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Abstract
In this paper, I  prove the existence of random solution for the first order initial value problem of non-convex random differential inclusion through random fixed point theory.Â
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References
. Aubin J. and A. Cellina, Differential Inclusions, Springer-Verlag, 1984.
. B. C. Dhage, Monotone increasing multi-valued random operators and differential inclusions, Nonlinear Funct. Anal. and Appl. 12, 2007 .
. B. C. Dhage, S. K. Ntouyas, D. S. Palimkar, Monotone increasing multi-valued condensing random operators and random differential inclusions, Electronic Journal Qualitative Theory of Differential Equation, 2006, Vol. 15, 1-20.
. A. Granas and J. Dugundji, Fixed Point Theory, Springer-Verlag
. S. Hu and N. S. Papageorgiou, Hand Book of Multi-valued Analysis Vol.-I, Kluwer Academic Publisher, Dordrechet, Boston, London, 1997.
. K. Kuratowskii and C. Ryll-Nardzeuskii, A general theorem on selectors, Bull. Acad. Pol.Sci. Ser. Math. Sci. Astron. Phy. 13, 1965, 397-403.
. A Lasota and Z. Opial, An application of Kakutani-Ky Fan theorem in the theory of ordinary differential equations, Bull. Acad. Pol. Sci. Ser. Sci. Math. Astronom. Phy. 13, 1965, 781-786.
. A. Nowak, Applications of random fixed points theorem in the theory of generalized random differential equations, Bull. Polish. Acad. Sci. 34, 1986, 487-494.