The Samarsky – Ionkin Problem with Integral Perturbation for a Pseudoparabolic Equation

In the work the solvability of nonlocal boundary value problems for thirdorder pseudoparabolic equations in anisotropic spaces of Sobolev is studied. The condition is specified by a spatial variable that combines the generalized Samarsky-Ionkin condition and the integral type condition is particular...

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Published inIzvestiâ Irkutskogo gosudarstvennogo universiteta. Seriâ "Matematika" (Online) Vol. 42; no. 1; pp. 59 - 74
Main Authors Kozhanov, A I., Tarasova, G. I.
Format Journal Article
LanguageEnglish
Published Irkutsk State University 01.01.2022
Subjects
existence and uniqueness
generalized samarsky-ionkin condition
regular solutions
sobolev type differential equations of the third order
spatially-nonlocal boundary value problems
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Summary:In the work the solvability of nonlocal boundary value problems for thirdorder pseudoparabolic equations in anisotropic spaces of Sobolev is studied. The condition is specified by a spatial variable that combines the generalized Samarsky-Ionkin condition and the integral type condition is particularity of the problems under study. The work aim is to prove the existence and uniqueness of the problems regular solutions - the solutions that have all Sobolev derivatives included in the corresponding equation.
ISSN:1997-7670
2541-8785
DOI:10.26516/1997-7670.2022.42.59