New boundary value problems for fourth-order quasi-hyperbolic equations

New boundary value problems for fourth-order quasi-hyperbolic equations Full article

Journal

Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304

Output data

Year: 2019, Volume: 16, Pages: 1410-1436 Pages count : 27 DOI: 10.33048/SEMI.2019.16.098

Tags

Existence; Fourth-order quasi-hyperbolic equations; Regular solutions; Uniqueness

Authors

Kozhanov A.I. ¹ , Koshanov B. ² , Sultangazieva J. ³

Affiliations

1	Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russian Federation
2	Institute of Mathematics and Mathematical Modeling, 125, Pushkin str., Almaty, 050010, Kazakhstan
3	Abai Pedagogical University, 13, Dostyk ave., Almaty, 050010, Kazakhstan

In this paper, we study the correctness in the spaces of S.L. Sobolev of new boundary value problems for quasi-hyperbolic differential equations utttt + Au = f(x; t) (A is an elliptic operator acting on spatial variables). For the proposed tasks theorems on the existence and uniqueness of solutions are proved, and examples of non-uniqueness are given. © 2019 Sobolev Institute of Mathematics.

Kozhanov A.I. , Koshanov B. , Sultangazieva J.
New boundary value problems for fourth-order quasi-hyperbolic equations
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2019. V.16. P.1410-1436. DOI: 10.33048/SEMI.2019.16.098 WOS Scopus OpenAlex

Web of science:	WOS:000491070500002
Scopus:	2-s2.0-85083360601
OpenAlex:	W3015893276

DB	Citing
Scopus	7
OpenAlex	10
Web of science	7