Mixed Problem with Integral Condition for a Loaded Third Order Pseudoparabolic Equation

Mixed Problem with Integral Condition for a Loaded Third Order Pseudoparabolic Equation Full article

Journal

Journal of Mathematical Sciences (United States)
ISSN: 1072-3374 , E-ISSN: 1573-8795

Output data

Year: 2023, Volume: 277, Number: 3, Pages: 420-430 Pages count : 11 DOI: 10.1007/s10958-023-06845-9

Authors

Kozhanov A.I. ^1,2 , Zikirov O.S. ³ , Kholikov Dilshod ⁴

Affiliations

1	Novosibirsk State University, Novosibirsk, Russia
2	Sobolev Institute of Mathematics SB RAS, Novosibirsk, Russia
3	Mirzo Ulugbek National University of Uzbekistan, Tashkent, Uzbekistan
4	Tashkent University of Architecture and Construction, Tashkent, Uzbekistan

Funding (1)

Russian Science Foundation

23-21-00269

We consider a nonlocal problem with an integral condition for a loaded third order pseudoparabolic equation in a rectangular domain. We prove the unique solvability of the problem with the help of an auxiliary Goursat problem for a pseudoparabolic equation. Based on an integral representation of the solution to the Goursat problem, we reduce the original problem to a Volterra integral equation of the second kind and, using the contraction mapping principle, establish the solvability of the original problem.

Kozhanov A.I. , Zikirov O.S. , Kholikov D.
Mixed Problem with Integral Condition for a Loaded Third Order Pseudoparabolic Equation
Journal of Mathematical Sciences (United States). 2023. V.277. N3. P.420-430. DOI: 10.1007/s10958-023-06845-9 Scopus РИНЦ OpenAlex

Submitted:	Nov 1, 2023
Published print:	Dec 22, 2023
Published online:	Dec 22, 2023

Scopus:	2-s2.0-85180490412
Elibrary:	65130121
OpenAlex:	W4390110136

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