Geodesic
Solutions to fourth-order random differential equations with periodic boundary conditions
Electronic journal of differential equations, Tome 2012 (2012)
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.
Classification : 47H40, 47N20, 60H25
Keywords: random differential equation, periodic boundary conditions, random solution, extremal solutions 
@article{EJDE_2012__2012__a4,
     author = {Han,  Xiaoling and Ma,  Xuan and Dai,  Guowei},
     title = {Solutions to fourth-order random differential equations with periodic boundary conditions},
     journal = {Electronic journal of differential equations},
     year = {2012},
     volume = {2012},
     zbl = {1286.47047},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a4/}
}
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AU  - Ma,  Xuan
AU  - Dai,  Guowei
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VL  - 2012
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%A Ma,  Xuan
%A Dai,  Guowei
%T Solutions to fourth-order random differential equations with periodic boundary conditions
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%V 2012
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%F EJDE_2012__2012__a4
Han,  Xiaoling; Ma,  Xuan; Dai,  Guowei. Solutions to fourth-order random differential equations with periodic boundary conditions. Electronic journal of differential equations, Tome 2012 (2012). http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a4/