Spectral problem for a Fredholm second-order integro-differential equation

TitleSpectral problem for a Fredholm second-order integro-differential equation
Publication TypeJournal Article
Year of Publication2018
AuthorsYuldashev, TK
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2018.12.003
Issue12
SectionMathematics
Pagination3-13
Date Published12/2018
LanguageRussian
Abstract

The questions of existence and construction of solutions of a homogeneous boundary value-problem for a second-order Fredholm integro-differential equation with degenerate kernel and with spectral parameter are considered. The singularities that arise in the construction of solutions and are associated with the definition of arbitrary (unknown) constants are studided. The values of spectral parameters, for which the solvability of the boundary-value problem is proved and the corresponding solutions are constructed, are calculated.
Keywordsdegenerate kernel, integro-differential equation, solvability, spectral parameter, spectral problem
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