On the uniform asymptotic stability for a linear integro-differential equation of Volterra type

DOI10.1016/J.JMAA.2005.12.053zbMath1105.45009OpenAlexW2074417637WikidataQ115346285 ScholiaQ115346285MaRDI QIDQ852821

Minoru Funakubo, Sadahisa Sakata, Tadayuki Hara

Publication date: 15 November 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.12.053

zbMATH Keywords

delaycharacteristic equationuniform asymptotic stabilitylinear integro-differential equation of Volterra type

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Asymptotics of solutions to integral equations (45M05) Stability theory for integral equations (45M10)

Related Items (13)

Stability criteria for the system of delay differential equations and its applications ⋮ An application of the Hurwitz theorem to the root analysis of the characteristic equation ⋮ Inequalities and exponential stability and instability in finite delay Volterra integro-differential equations ⋮ New results on the qualitative analysis of solutions of VIDEs by the Lyapunov-Razumikhin technique ⋮ On the qualitative analyses solutions of new mathematical models of integro‐differential equations with infinite delay ⋮ Uniform exponential stability of linear delayed integro-differential vector equations ⋮ An application of Lyapunov-Razumikhin method to behaviors of Volterra integro-differential equations ⋮ Effect of off-diagonal delay on the asymptotic stability for an integro-differential system ⋮ The fixed sign property of solutions and stability of linear differential equations with varying distributed delay ⋮ On the fundamental solution and its application in a large class of differential systems determined by Volterra type operators with delay ⋮ POSITIVITY OF GREEN'S FUNCTIONS TO VOLTERRA INTEGRAL AND HIGHER ORDER INTEGRO-DIFFERENTIAL EQUATIONS ⋮ Qualitative analysis of integro-differential equations with variable retardation ⋮ Stochastic Volterra integro-differential equations driven by a fractional Brownian motion with delayed impulses

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stability for functional differential equations and some variational problems
• Introduction to functional differential equations
• Stability Regions for Linear Differential Equations with Two Kinds of Time Lags
• A Lyapunov Functional for a Retarded Differential Equation
• Volterra integral and differential equations
• Sufficient conditions for stability of linear differential equations with distributed delay

This page was built for publication: On the uniform asymptotic stability for a linear integro-differential equation of Volterra type