Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 235, pp. 1-9.

Title: Solutions to fourth-order random differential equations
       with periodic boundary conditions
        
Authors: Xiaoling Han (Northwest Normal Univ., Lanzhou, China)
         Xuan Ma      (Northwest Normal Univ., Lanzhou, China)
	 Guowei Dai   (Northwest Normal Univ., Lanzhou, China)

Abstract:
 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.

Submitted October 17, 2012. Published December 21, 2012.
Math Subject Classifications: 47H40, 47N20, 60H25.
Key Words: Random differential equation; periodic boundary conditions;
           random solution; extremal solutions.