Existence of solutions of nonlinear stochastic integrodifferential inclusions in a Hilbert space

DOI10.1016/j.camwa.2005.03.016zbMath1094.60045OpenAlexW2022368056MaRDI QIDQ815271

D. Vinayagam, Pagavathigounder Balasubramaniam

Publication date: 16 February 2006

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2005.03.016

zbMATH Keywords

multivalued mapMartelli's fixed point theorem

Mathematics Subject Classification ID

Evolution inclusions (34G25) Stochastic integral equations (60H20)

Related Items

Existence of solutions for a impulsive nonlocal stochastic functional integrodifferential inclusion in Hilbert spaces ⋮ Existence of the mild solution for impulsive neutral stochastic fractional integro-differential inclusions with nonlocal conditions ⋮ Approximate controllability of a neutral stochastic fractional integro-differential inclusion with nonlocal conditions ⋮ Solutions to BSDEs driven by multidimensional fractional Brownian motions ⋮ On a class of stochastic differential equations driven by the generalized stochastic mixed variational inequalities ⋮ Existence results for \(m\)th-order impulsive functional differential inclusions ⋮ Nonlocal Cauchy problem for some stochastic integro-differential equations in Hilbert spaces ⋮ Solution of nonlinear fractional stochastic integro-differential equation ⋮ Existence, uniqueness and stability of fractional impulsive functional differential inclusions ⋮ Optimality of non-instantaneous impulsive fractional stochastic differential inclusion with fBm ⋮ Stochastic Volterra integro-differential equations driven by fractional Brownian motion in a Hilbert space

Cites Work

• Diffusion equation for multivalued stochastic differential equations
• Measure solutions of impulsive evolution differential inclusions and optimal control.
• Nonlinear stochastic differential inclusions on balance space
• Existence of Solutions to Differential Inclusions and to Time Optimal Control Problems in the Autonomous Case
• Controllability on infinite time horizon for first and second order functional differential inclusions in Banach spaces
• On the Existence of Periodic Solutions for Nonconvex-Valued Differential Inclusions in ℝ N
• Yosida approximations for multivalued stochastic differential equations
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