Necessary Conditions for Existence of Solutions of a Certain Pseudohyperbolic System of Equations Full article
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Siberian Advances in Mathematics
ISSN: 1055-1344 , E-ISSN: 1934-8126 |
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| Output data | Year: 2024, Volume: 34, Number: 3, Pages: 187-195 Pages count : 9 DOI: 10.1134/s1055134424030027 | ||
| Tags | pseudohyperbolic system, cauchy problem, anisotropic Sobolev space, necessary conditions for existence of solutions | ||
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| Affiliations |
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Funding (1)
| 1 | Russian Science Foundation | 24-21-00370 |
Abstract:
In the present article, we consider the Cauchy problem for a pseudohyperbolic system that arises in modeling flexural-torsional vibrations of an elastic rod. For the function on the right-hand side of the system, we suggest necessary conditions for existence of a solution of the Cauchy problem in the Sobolev space with exponential weight.
Cite:
Bondar L.N.
, Mingnarov S.B.
Necessary Conditions for Existence of Solutions of a Certain Pseudohyperbolic System of Equations
Siberian Advances in Mathematics. 2024. V.34. N3. P.187-195. DOI: 10.1134/s1055134424030027 Scopus РИНЦ OpenAlex
Necessary Conditions for Existence of Solutions of a Certain Pseudohyperbolic System of Equations
Siberian Advances in Mathematics. 2024. V.34. N3. P.187-195. DOI: 10.1134/s1055134424030027 Scopus РИНЦ OpenAlex
Original:
Бондарь Л.Н.
, Мингнаров С.Б.
О необходимых условиях разрешимости для одной псевдогиперболической системы
Математические труды. 2024. Т.27. №2. С.26–39. DOI: 10.25205/1560-750X-2024-27-2-26-39 РИНЦ
О необходимых условиях разрешимости для одной псевдогиперболической системы
Математические труды. 2024. Т.27. №2. С.26–39. DOI: 10.25205/1560-750X-2024-27-2-26-39 РИНЦ
Dates:
| Submitted: | Jan 18, 2024 |
| Accepted: | Jun 13, 2024 |
| Published print: | Sep 18, 2024 |
| Published online: | Sep 18, 2024 |
Identifiers:
| Scopus: | 2-s2.0-85204285876 |
| Elibrary: | 69201089 |
| OpenAlex: | W4402631947 |
Citing:
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