Remarks on the existence and uniqueness of solutions of Volterra functional equations in \(L^ p\) spaces

DOI10.1216/JIEA/1181075631zbMath0745.45006OpenAlexW1981265421MaRDI QIDQ1182517

Marian Kwapisz

Publication date: 28 June 1992

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jiea/1181075631

zbMATH Keywords

existenceuniquenessBanach spacenonlinear Volterra integral equationsiterative constructionBanach's contraction principle

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Volterra integral equations (45D05) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (4)

Convergence of solutions for functional integro-differential equations with nonlinear boundary conditions ⋮ On \(l^ p\) solutions of discrete Volterra equations ⋮ Abstract Volterra equations: a survey ⋮ Existence of global solutions for some classes of integral equations

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