Xiaoling Han, Xuan Ma, Guowei Dai
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.
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Xiaoling Han Department of Mathematics Northwest Normal University Lanzhou, 730070, China email: hanxiaoling@nwnu.edu.cn |
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| Xuan Ma Department of Mathematics Northwest Normal University Lanzhou, 730070, China email: sfsolo@163.com | |
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Guowei Dai Department of Mathematics Northwest Normal University Lanzhou, 730070, China email: daiguowei@nwnu.edu.cn |
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