The set of solutions for abstract Volterra equations in Lp([0, a], ℝm)

D. M. Bedivan; D. O'Regan

doi:10.1016/S0893-9659(99)00114-7

The set of solutions for abstract Volterra equations in L^p([0, a], ℝ^m)

D. M. Bedivan
, D. O'Regan

Mathematics

Alexandru Ioan Cuza University of Iasi

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

6 Citations (Scopus)

Abstract

This paper studies the topological structure of the set of solutions for the equation y = Fy, where F is an abstract Volterra operator on L^p([0, a]ℝ^m), with an application to a nonlinear integral equation.

Original language	English
Pages (from-to)	7-11
Number of pages	5
Journal	Applied Mathematics Letters
Volume	12
Issue number	8
DOIs	https://doi.org/10.1016/S0893-9659(99)00114-7
Publication status	Published - Nov 1999

Keywords

Abstract Volterra equations
Fixed points
Nonlinear integral equations

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10.1016/S0893-9659(99)00114-7

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title = "The set of solutions for abstract Volterra equations in Lp([0, a], ℝm)",

abstract = "This paper studies the topological structure of the set of solutions for the equation y = Fy, where F is an abstract Volterra operator on Lp([0, a]ℝm), with an application to a nonlinear integral equation.",

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KW - Fixed points

KW - Nonlinear integral equations

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The set of solutions for abstract Volterra equations in L^p([0, a], ℝ^m)

Abstract

Keywords

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