A Liapunov functional for a singular integral equation

DOI10.1016/J.NA.2010.08.016zbMath1219.45001OpenAlexW1992332237MaRDI QIDQ607103

Theodore Allen Burton

Publication date: 19 November 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.2010.08.016

zbMATH Keywords

stabilityLyapunov functionalsinfinite and finite delay problemssingular nonlinear Volterra integral equations

Mathematics Subject Classification ID

Stability theory for integral equations (45M10) Volterra integral equations (45D05) Singular nonlinear integral equations (45G05)

Related Items (4)

Singular integro-differential equations with small kernels ⋮ \(L^p\)-solutions of singular integro-differential equations ⋮ Fractional differential equations and Lyapunov functionals ⋮ Singular integral equations, Liapunov functionals, and resolvents

Cites Work

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• A contraction mapping proof of the smooth dependence on parameters of solutions to Volterra integral equations
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• Integral equations, \(L^{p}\)-forcing, remarkable resolvent: Lyapunov functionals
• A Liapunov functional for a linear integral equation
• BLOW-UP SOLUTIONS OF THE TWO-DIMENSIONAL HEAT EQUATION DUE TO A LOCALIZED MOVING SOURCE
• Continuity, compactness, fixed points, and integral equations
• The Asymptotic Behavior of the Solution of a Volterra Equation

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