On the existence and uniqueness of integrable solutions of functional equations in a Banach space

DOI10.1007/BF02189846zbMath0426.45017MaRDI QIDQ1136035

Marian Kwapisz, Jan Turo

Publication date: 1979

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/136808

zbMATH Keywords

Banach spaceexistence and uniqueness theoremsuccessive approximationsoperator equationcomparison methodBochner integrable functionsintegro-functional equationsconstruction of operators

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Integro-ordinary differential equations (45J05) Integro-partial differential equations (45K05) Functional equations for functions with more general domains and/or ranges (39B52) Fredholm integral equations (45B05) Volterra integral equations (45D05) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (1)

On nonlinear Volterra integral equations with state dependent delays in several variables

Cites Work

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• Existence, uniqueness und successive approximations for a class of integral-functional equations
• On the existence and uniqueness of solutions of a certain integral-functional equation

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