Solvability of a nonlocal problem with integral conditions for third-order Sobolev-type equations

Solvability of a nonlocal problem with integral conditions for third-order Sobolev-type equations Full article

Journal

Математические заметки СВФУ (Mathematical Notes of NEFU)
ISSN: 2411-9326 , E-ISSN: 2587-876X

Output data

Year: 2020, Volume: 27, Number: 4, Pages: 30-42 Pages count : 13 DOI: 10.25587/SVFU.2020.80.43.003

Tags

Existence; Problem with integral conditions; Regular solution; Sobolev-type differential equation; Uniqueness

Authors

Kozhanov A.I. ^1,2 , Dyuzheva A.V. ³

Affiliations

1	Sobolev Institute of Mathematics, 4 Koptyug Avenue, Novosibirsk, 630090, Russian Federation
2	Novosibirsk State University, 1 Pirogov Street, Novosibirsk, 630090, Russian Federation
3	Samara State Technical University, 244 Molodogvardeyskaya Street, Samara, 443100, Russian Federation

We study solvability of a nonlocal problem with integral conditions for Sobolev-type differential equations of the third order. Using spectral decompositions, we prove existence and uniqueness theorems for solutions with all generalized S. L. Sobolev derivatives entering the equation. © 2020 A. I. Kozhanov and A. V. Dyuzheva.

Kozhanov A.I. , Dyuzheva A.V.
Solvability of a nonlocal problem with integral conditions for third-order Sobolev-type equations
Математические заметки СВФУ (Mathematical Notes of NEFU). 2020. V.27. N4. P.30-42. DOI: 10.25587/SVFU.2020.80.43.003 Scopus OpenAlex

Scopus:	2-s2.0-85101502859
OpenAlex:	W3166957153

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Scopus	4
OpenAlex	1