Subexponential solutions of linear integro-differential equations and transient renewal equations

DOI10.1017/S0308210500001761zbMath1009.45007OpenAlexW2150799032MaRDI QIDQ4549861

David W. Reynolds, John A. D. Appleby

Publication date: 4 April 2003

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500001761

zbMATH Keywords

convergenceasymptotic stabilityasymptotic behavioursubexponential solutionstransient renewal equationscalar integrodifferential equation

Mathematics Subject Classification ID

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

Related Items (14)

A constructive comparison technique for determining the asymptotic behaviour of linear functional differential equations with unbounded delay ⋮ Long run behaviour of the autocovariance function of ARCH(\(\infty\)) models ⋮ Non-exponential stability of scalar stochastic Volterra equations. ⋮ On the non-exponential convergence of asymptotically stable solutions of linear scalar Volterra integro-differential equations ⋮ Estimates for solutions of differential equations in a Banach space via commutators ⋮ On regularly varying and history-dependent convergence rates of solutions of a Volterra equation with infinite memory ⋮ Long memory in a linear stochastic Volterra differential equation ⋮ Stochastic Volterra equations in weighted spaces ⋮ On exact rates of decay of solutions of linear systems of Volterra equations with delay ⋮ New limit formulas for the convolution of a function with a measure and their applications ⋮ Global stability for a class of nonlinear PDE with non-local term ⋮ On necessary and sufficient conditions for exponential stability in linear Volterra integro-differential equations ⋮ On exact convergence rates for solutions of linear systems of Volterra difference equations† ⋮ Subexponential solutions of linear Volterra difference equations

This page was built for publication: Subexponential solutions of linear integro-differential equations and transient renewal equations