Geodesic
New boundary value problems for fourth-order quasi-hyperbolic equations
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 1410-1436

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In this paper, we study the correctness in the spaces of S.L. Sobolev of new boundary value problems for quasi-hyperbolic differential equations $$u_{tttt}+Au=f(x,t)$$ ($A$ 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.
Keywords: fourth-order quasi-hyperbolic equations, regular solutions, uniqueness.
Mots-clés : existence 
@article{SEMR_2019_16_a100,
     author = {A. I. Kozhanov and B. Koshanov and J. Sultangazieva},
     title = {New boundary value problems for fourth-order quasi-hyperbolic equations},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1410--1436},
     publisher = {mathdoc},
     volume = {16},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2019_16_a100/}
}
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A. I. Kozhanov; B. Koshanov; J. Sultangazieva. New boundary value problems for fourth-order quasi-hyperbolic equations. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 1410-1436. http://geodesic.mathdoc.fr/item/SEMR_2019_16_a100/