Geodesic
Solutions to fourth-order random differential equations with periodic boundary conditions
Electronic Journal of Differential Equations, Tome 2012 (2012).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 
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     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},
     publisher = {mathdoc},
     volume = {2012},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a4/}
}
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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/