Uniqueness and global convergence of successive approximations for solutions of functional integral equations with infinite delay

DOI10.1016/0022-247X(86)90205-2zbMath0603.45021MaRDI QIDQ1082569

Jong Son Shin

Publication date: 1986

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

zbMATH Keywords

global convergenceBanach spaceinfinite delayUniquenesssuccessive approximationsabstract integral equation

Mathematics Subject Classification ID

Abstract integral equations, integral equations in abstract spaces (45N05) Theoretical approximation of solutions to integral equations (45L05)

Related Items (2)

Comparison theorems and uniqueness of mild solutions to semilinear functional differential equations in Banach spaces ⋮ Existence of solutions and Kamke's theorem for functional differential equations in Banach spaces

Cites Work

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• Global convergence of successive approximations of solutions for functional differential equations with infinite delay
• Some generic properties of functional differential equations in Banach spaces
• Some considerations to the fundamental theory of infinite delay equations
• Global convergence of successive approximations
• Successive approximations for solutions of functional integral equations
• Asymptotic behavior of solutions of some functional differential equations
• Continuous Dependence of Solutions of Volterra Integral Equations
• Almost-periodic behavior of solutions of a nonlinear Volterra system.

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