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.