On the asymptotic stability of Volterra functional equations with vanishing delays

DOI10.3934/cpaa.2015.14.397zbMath1312.45012OpenAlexW2323146034MaRDI QIDQ2018437

Chunhua Ou, Hermann Brunner

Publication date: 14 April 2015

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2015.14.397

zbMATH Keywords

asymptotic stabilityVolterra integral equationconvolution kernelvanishing delay

Mathematics Subject Classification ID

Asymptotics of solutions to integral equations (45M05) Stability theory for integral equations (45M10) Volterra integral equations (45D05) Linear integral equations (45A05)

Cites Work

• Stability of collocation methods for delay differential equations with vanishing delays
• Current work and open problems in the numerical analysis of Volterra functional equations with vanishing delays
• On the generalized pantograph functional-differential equation
• Numerical Methods for Delay Differential Equations
• Stability and Asymptotic Stability of Functional-Differential Equations
• The functional-differential equation $y'\left( x \right) = ay\left( {\lambda x} \right) + by\left( x \right)$

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