Existence of Solutions of General Nonlinear Stochastic Volterra Fredholm Integral Equations

DOI10.1081/SAP-200064487zbMath1079.60064MaRDI QIDQ5312736

K. Sumathy, Hui-Hsiung Kuo, Krishnan Balachandran

Publication date: 25 August 2005

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

zbMATH Keywords

measure of noncompactnessstochastic integral equationDarbo theorem

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Numerical solutions to stochastic differential and integral equations (65C30) Stochastic integral equations (60H20)

Related Items (5)

Existence and stability results for Caputo fractional stochastic differential equations with Lévy noise ⋮ On pathwise uniqueness of stochastic evolution equations in Hilbert spaces ⋮ Existence of solutions of nonlinear stochastic Volterra Fredholm integral equations of mixed type ⋮ On solutions of general nonlinear stochastic integral equations ⋮ Stochastic Differential Equations with Non-Lipschitz Coefficients in Hilbert Spaces

Cites Work

• Unnamed Item
• On random solutions of Volterra-Fredholm integral equations
• On existence and asymptotic behaviour of solutions of a nonlinear stochastic integral equation
• Topological methods for the study of nonlinear mixed stochastic integral equations
• Random integral equations
• Random integral equations with applications to life sciences and engineering
• Random integral equations with applications to stochastic systems
• A new stochastic formulation of a population growth problem
• Random contractors with random nonlinear majorant functions
• Remarks on the Random Solutions of Nonlinear Stochastic Integral Equations
• On solutions of a stochastic integral equation of the volterra type with applications for chemotherapy
• Random contractors and the solution of random nonlinear equations
• Almost surely continuous solutions of a nonlinear stochastic integral equation
• On a class of stochastic integral equations of mixed type
• On random nonlinear contractions
• On the existence of random solutions of a non-linear perturbed random integral equation
• Solution of a stochastic integral equation using integral contractors
• Existence of solutions of a class of stochastic Volterra integral equations with applications to chemotherapy
• On the Boundedness of Random Solutions of Nonlinear Stochastic Integral Equations
• On a stochastic integral equation of the Volterra type
• Existence of a Solution of a Stochastic Integral Equation in Turbulence Theory
• On a stochastic integral equation of the Volterra type in telephone traffic theory

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