A multiparametric family of solutions to a singular Volterra integral equation in a Banach space

DOI10.3103/S1066369X11010063zbMath1298.45003OpenAlexW2091537839MaRDI QIDQ646844

I. V. Sapronov

Publication date: 18 November 2011

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

Full work available at URL: https://doi.org/10.3103/s1066369x11010063

zbMATH Keywords

spectrumexplicit solutionabstract integral equationoperator pencilVolterra integral equation of the first kind

Mathematics Subject Classification ID

Volterra integral equations (45D05) Abstract integral equations, integral equations in abstract spaces (45N05) Theoretical approximation of solutions to integral equations (45L05)

Cites Work

• A multiparameter family of solutions of the Volterra integral equation with a singularity in a Banach space
• On the completeness of a system of solutions of a Volterra integral equation with a singularity
• On a class of solutions of a Volterra equation of the second kind with regular singularity in a Banach space
• One class of solutions of Volterra equations with regular singularity

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