The resolvent structure of a Volterra equation with nonsummable difference kernel

DOI10.3103/S1066369X10040080zbMath1201.45005OpenAlexW1984703285MaRDI QIDQ1956607

Z. B. Tsalyuk, M. V. Tsalyuk

Publication date: 23 September 2010

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x10040080

zbMATH Keywords

resolvent kernelasymptotic behaviourdifference kernelhomogeneous kernelVolterra linear integral equationsystems of linear convolution integral equations

Mathematics Subject Classification ID

Asymptotics of solutions to integral equations (45M05) Systems of nonsingular linear integral equations (45F05) Volterra integral equations (45D05)

Related Items (2)

The structure of the resolvent for the discrete renewal equation with nonsummable difference kernel ⋮ The asymptotic behavior of solutions of a certain nonlinear Volterra equation

Cites Work

• Asymptotic behavior of the resolvent of an unstable Volterra equation with kernel depending on the difference of the arguments
• Asymptotics of the resolvent of the Volterra equation with a nonintegrable difference kernel
• On the asymptotic behavior of the bounded solutions of some integral equations. I, II, III
• Variants of the Wiener-Levy Theorem, with Applications to Stability Problems for Some Volterra Integral Equations

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