Remarks on the solvability of a convolution integral equation on a finite interval

DOI10.1134/S0012266117030120zbMath1366.45002OpenAlexW2607463969WikidataQ115250986 ScholiaQ115250986MaRDI QIDQ2358840

Ani G. Barseghyan

Publication date: 16 June 2017

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266117030120

zbMATH Keywords

solvabilitycounterexampledifference kernelconvolution integral equation

Mathematics Subject Classification ID

Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Cites Work

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• On one convolution equation in the theory of filtration of random processes
• Uniqueness theorems for convolution integral equations of the first and second kind on an interval
• Convolution equations on a finite segment and factorization of elliptic matrices
• On the method of two-sided continuation of solutions of the integral convolution equation on a finite interval
• A complete generalization of the Wiener-Hopf method to convolution integral equations with integrable kernel on a finite interval

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