A contraction mapping proof of the smooth dependence on parameters of solutions to Volterra integral equations

DOI10.1016/j.na.2009.12.043zbMath1189.45004OpenAlexW2062823825MaRDI QIDQ960887

Alistair Windsor

Publication date: 29 March 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.12.043

zbMATH Keywords

systemVolterra integral equationscontraction mappingparameter dependence

Mathematics Subject Classification ID

Systems of nonsingular linear integral equations (45F05) Volterra integral equations (45D05)

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Cites Work

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• Continuous dependence on parameters: on the best possible results
• Integral equations, \(L^{p}\)-forcing, remarkable resolvent: Lyapunov functionals
• Continuous Dependence of Solutions of Volterra Integral Equations
• A Kneser Theorem for Volterra Integral Equations