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In this paper, sufficient conditions are given for the existence of solutions for a class of second order stochastic differential inclusions in Hilbert space with the help of Leray-Schauder Nonlinear Alternative.

Existence of solutions for second-order differential equations and systems on infinite intervals.

Moussaoui, Toufik, Precup, Radu (2009)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Existence of solutions for second-order evolution inclusions.

Papageorgiou, Nikolaos S. (1994)

Journal of Applied Mathematics and Stochastic Analysis

Existence of solutions for second-order nonlinear impulsive differential equations with periodic boundary value conditions.

Bai, Chuanzhi, Yang, Dandan (2007)

Boundary Value Problems [electronic only]

Existence of solutions for second-order nonlinear impulsive boundary-value problems.

Ahmad, Bashir (2009)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Existence of solutions for semilinear differential equations with nonlocal conditions in Banach spaces.

Dong, Qixiang, Li, Gang (2009)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

Existence of solutions for semilinear nonlocal Cauchy problems in Banach spaces.

Xue, Xingmei (2005)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Existence of solutions for some Hammerstein type integro-differential inclusions.

Hoai, Nguyen Thi, Loi, Nguyen Van (2007)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Existence of solutions for some nonlinear beam equations.

Amster, P., Cárdenas Alzate, P.P. (2006)

Portugaliae Mathematica. Nova Série

Existence of solutions for some third-order boundary-value problems.

Bai, Zhanbing (2008)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Existence of solutions for the Dirichlet problem with superlinear nonlinearities

Andrzej Nowakowski, Andrzej Rogowski (2003)

Czechoslovak Mathematical Journal

In this paper we establish the existence of nontrivial solutions to $\frac{d}{d t} L_{x^{'}} (t, x^{'} (t)) + V_{x} (t, x (t)) = 0, x (0) = 0 = x (T),$ with $V_{x}$ superlinear in $x$ .

Existence of solutions in the $α$ -norm for partial differential equations of neutral type with finite delay.

Ezzinbi, Khalil, Megdiche, Hatem, Rebey, Amor (2010)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Existence of solutions of a discrete fourth-order boundary value problem.

Ma, Ruyun, Gao, Chenghua, Chang, Yongkui (2010)

Discrete Dynamics in Nature and Society

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