On existence,asymptotic behaviour and stability of solutions of stochastic integral equations

DOI10.1080/07362999108809246zbMath0741.60055OpenAlexW2077077328MaRDI QIDQ3984212

Stanislaw Wedrychowicz, Dominik Szynal, Józef Banaś

Publication date: 27 June 1992

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362999108809246

zbMATH Keywords

asymptotic behaviourstochastic integral equationexistence of strong solutionsfixed-point theorem of Darbo typemeasure of noncompactness in Banach space

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic stability in control theory (93E15) Stochastic integral equations (60H20)

Related Items

Existence of solutions for some classes of integro-differential equations in the Sobolev space \(W^{n,p}(\mathbb {R}_+)\) ⋮ On a measure of noncompactness in the space of regulated functions and its applications ⋮ Measures of noncircularity and fixed points of contractive multifunctions ⋮ Measure of noncompactness on weighted Sobolev space with an application to some nonlinear convolution type integral equations ⋮ On existence and local stability of solutions of stochastic differential equations ⋮ Existence of solutions of nonlinear stochastic Volterra Fredholm integral equations of mixed type ⋮ On solutions of general nonlinear stochastic integral equations

Cites Work

• On a nonlinear stochastic integral equation with application to control systems
• On the existence, uniqueness, convergence and explosions of solutions of systems of stochastic integral equations
• Random integral equations with applications to life sciences and engineering
• On the existence and unicity of solutions of stochastic integral equations
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