%0 Journal Article
%T Solutions to fourth-order random differential equations with periodic boundary conditions
%A Xiaoling Han
%A Xuan Ma
%A Guowei Dai
%J Electronic Journal of Differential Equations
%D 2012
%I Texas State University
%X Existence of solutions and of extremal random solutions are proved for periodic boundary-value problems of fourth-order ordinary random differential equations. Our investigation is done in the space of continuous real-valued functions defined on closed and bounded intervals. Also we study the applications of the random version of a nonlinear alternative of Leray-Schauder type and an algebraic random fixed point theorem by Dhage.
%K Random differential equation
%K periodic boundary conditions
%K random solution
%K extremal solutions
%U http://ejde.math.txstate.edu/Volumes/2012/235/abstr.html