On a Volterra equation of the second kind with `incompressible' kernel

DOI10.1186/s13662-015-0418-6zbMath1343.45001OpenAlexW2161085920WikidataQ59424556 ScholiaQ59424556MaRDI QIDQ738544

Meiramkul M. Amangaliyeva, Minzilya T. Kosmakova, Murat I. Ramazanov, Muvasharkhan T. Jenaliyev

Publication date: 2 September 2016

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-015-0418-6

zbMATH Keywords

spectrumnontrivial solutionVolterra integral equationcharacteristic equationAbel equationCarleman-Vekua regularization method

Mathematics Subject Classification ID

Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Volterra integral equations (45D05) Eigenvalue problems for integral equations (45C05)

Related Items (9)

Solution of the boundary value problem of heat conduction in a cone ⋮ On the solvability of the Dirichlet problem for the heat equation in a degenerating domain ⋮ On the singular Volterra integral equation of the boundary value problem for heat conduction in a degenerating domain ⋮ The resolvent and the particular solution of one singular integral equation ⋮ On the coefficient inverse problem of heat conduction in a degenerating domain ⋮ ON THE SOLUTION TO A TWO-DIMENSIONAL HEAT CONDUCTION PROBLEM IN A DEGENERATE DOMAIN ⋮ On a boundary value problem for the heat equation and a singular integral equation associated with it ⋮ On the solvability of heat boundary value problems in Sobolev spaces ⋮ On a homogeneous parabolic problem in an infinite corner domain

Cites Work

• On a particular second kind Volterra integral equation with a spectral parameter
• Boundary value problems for a spectrally loaded heat operator with load line approaching the time axis at zero or infinity
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On a Volterra equation of the second kind with `incompressible' kernel