Periodic Boundary Value Problems of Second Order Random Differential Equations
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Authors
Dhage, B. C.
Badgire, S. V.
Ntouyas, S. K.
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University of Szeged, Bolyai Institute
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peer reviewed
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Electronic Journal of Qualitative Theory of Differential Equations
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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 [5]. An example is also indicated for demonstrating the realizations of the abstract theory developed in this paper.
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random differential equation, periodic boundary conditions, random solution, existence theorem, extremal solutions
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<Go to ISI>://000265799700001
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en
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Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικών