Generalized solutions of Volterra integral equations of the first kind

zbMath1132.45003MaRDI QIDQ5920417

Nikolay Aleksandrovich Sidorov, Denis Nikolaevich Sidorov, Mikhail Valentinovich Falaleev

Publication date: 5 February 2008

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/53837

zbMATH Keywords

Dirac functiondistribution spacesingular componentimpulses theory

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Volterra integral equations (45D05)

Related Items (6)

A novel numerical optimality technique to find the optimal results of Volterra integral equation of the second kind with discontinuous kernel ⋮ Solvability of systems of Volterra integral equations of the first kind with piecewise continuous kernels ⋮ Laplace transform inversion using Bernstein operational matrix of integration and its application to differential and integral equations ⋮ Theoretical investigation on error analysis of Sinc approximation for mixed Volterra-Fredholm integral equation ⋮ Comparison between Taylor and perturbed method for Volterra integral equation of the first kind ⋮ Generalized solutions to integral equations in the problem of identification of nonlinear dynamic models

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