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«THE BULLETIN OF IRKUTSK STATE UNIVERSITY». SERIES «MATHEMATICS»
«IZVESTIYA IRKUTSKOGO GOSUDARSTVENNOGO UNIVERSITETA». SERIYA «MATEMATIKA»
ISSN 1997-7670 (Print)
ISSN 2541-8785 (Online)

List of issues > Series «Mathematics». 2022. Vol 42

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

Author(s)
Alexander I. Kozhanov1,2, Galina I. Tarasova3

1Sobolev Institute of Mathematics SB RAS, Novosibirsk, Russian Federation

2Academy of Sciences of the Republic of Sakha (Yakutia), Yakutsk, Russian Federation

3North-Eastern Federal University, Yakutsk, Russian Federation

Abstract
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.
About the Authors

Alexander I. Kozhanov, Dr. Sci. (Phys.–Math.), Prof., Sobolev Institute of Mathematics SB RAS, Novosibirsk, 630090, Russian Federation, kozhanov@math.nsc.ru

Galina I. Tarasova, Cand. Sci. (Phys.Math.), North-Eastern Federal University, Yakutsk, 677000, Russian Federation, gi-tarasova@mail.ru

For citation
Kozhanov A I., Tarasova G. I. The Samarsky-Ionkin Problem with Integral Perturbation for a Pseudoparabolic Equation. The Bulletin of Irkutsk State University. Series Mathematics, 2022, vol. 42, pp. 59–74. (in Russian) https://doi.org/10.26516/1997-7670.2022.42.59
Keywords
Sobolev type differential equations of the third order, spatially-nonlocal boundary value problems, generalized Samarsky-Ionkin condition, regular solutions, existence and uniqueness
UDC
517.95
MSC
35G45, 35R99
DOI
https://doi.org/10.26516/1997-7670.2022.42.59
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