Periodic boundary value problems of second order random differential equations

B. C. Dhage, Kasubai, Gurukul Colony, Maharashtra, India
S. V. Badgire, Kasubai, Gurukul Colony, Maharashtra, India
S. K. Ntouyas, University of Ioannina, Ioannina, Greece

E. J. Qualitative Theory of Diff. Equ., No. 21. (2009), pp. 1-14.

Abstract: In this paper, an existence and the existence of extremal random solutions are proved for a periodic boundary value problem of second order ordinary random differential equations. Our investigations have been placed in the space of real-valued functions defined and continuous on closed and bounded intervals of real line together with the applications of the random version of a nonlinear alternative of Leray-Schauder type and an algebraic random fixed point theorem of Dhage. An example is also indicated for demonstrating the realizations of the abstract theory developed in this paper.

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