On \(l^ p\) solutions of discrete Volterra equations

DOI10.1007/BF01835701zbMath0758.39001OpenAlexW4248458652MaRDI QIDQ1198192

Marian Kwapisz

Publication date: 16 January 1993

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

Full work available at URL: https://eudml.org/doc/137462

zbMATH Keywords

Banach spacenonlinear difference equation\(lp\) solutiondiscrete operator equationsdiscrete Volterra equation

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Additive difference equations (39A10) Discrete version of topics in analysis (39A12)

Related Items

The asymptotic behavior of the solutions of a Volterra difference equation ⋮ Existence and boundedness of solutions for nonlinear Volterra difference equations in Banach spaces ⋮ Admissibility for discrete Volterra equations ⋮ SOLUTION ESTIMATES OF NONLINEAR VECTOR VOLTERRA–STIELTJES EQUATIONS

Cites Work

• Remarks on the existence and uniqueness of solutions of Volterra functional equations in \(L^ p\) spaces
• Bielecki's method, existence and uniqueness results for Volterra integral equations in \(L^ p\) space

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