CONSTRUCTION OF AN ANALOG OF THE FREDHOLM THEOREM FOR A CLASS OF MODEL FIRST ORDER INTEGRO-DIFFERENTIAL EQUATIONS WITH A SINGULAR POINT IN THE KERNEL

DOI10.17223/19988621/46/4OpenAlexW2735002726MaRDI QIDQ5042845

Sarvar Kakgramonovich Zaripov

Publication date: 26 October 2022

Published in: Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vtgu575

zbMATH Keywords

integral equationintegral representationcharacteristic equationmanifold of solutionsboundary singular pointsmodel integro-differential equation

Mathematics Subject Classification ID

Integral equations (45-XX) Numerical analysis (65-XX)

Related Items (8)

Volterra-type integro-differential equations with two-point singular differential operator ⋮ INVESTIGATION OF SOME CLASSES OF SECOND ORDER PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS WITH A POWERLOGARITHMIC SINGULARITY IN THE KERNEL ⋮ Determining of coefficients and the classical solvability of a nonlocal boundary-value problem for the Benney-Luke integro-differential equation with degenerate kernel ⋮ New type super singular integro-differential equation and its conjugate equation ⋮ Spectral features of the solving of a Fredholm homogeneous integro-differential equation with integral conditions and reflecting deviation ⋮ Mellin transform and integro-differential equations with logarithmic singularity in the kernel ⋮ Spectral singularities of solutions to a boundary-value problem for the Fredholm integro-differential equation of the second order with reflection of argument ⋮ On exact solutions of a class of singular partial integro-differential equations

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• Evaluation of the stability of some inverse problems solutions for integro-differential equations
• The asymptotic limit of an integro-differential equation modelling complex systems

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