Asymptotic behavior of the resolvent of an unstable Volterra equation with kernel depending on the difference of the arguments

DOI10.1007/BF02356066zbMath0914.45004OpenAlexW2079257783MaRDI QIDQ1277422

Z. B. Tsalyuk, V. A. Derbenev

Publication date: 1 March 1999

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02356066

zbMATH Keywords

resolventintegro-differential equationsasymptoticsconvolutionrenewal equationdifference kernelVolterra equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Asymptotics of solutions to integral equations (45M05) Volterra integral equations (45D05)

Related Items (3)

The asymptotic approximations to linear weakly singular Volterra integral equations via Laplace transform ⋮ The resolvent structure of a Volterra equation with nonsummable difference kernel ⋮ The asymptotic behavior of solutions of a certain nonlinear Volterra equation

Cites Work

• On the asymptotic behavior of the bounded solutions of some integral equations. I, II, III
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