Necessary Conditions for Existence of Solutions of a CertainPseudohyperbolic System of Equations
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.
Authors
- L. N. Bondar (ORCID: https://orcid.org/0000-0003-0393-7088)
- S. B. Mingnarov
Institutions
- Novosibirsk State University (RU)
Publication Details
- Journal
- Siberian Advances in Mathematics
- Published
- 2024-09-01
- DOI
- https://doi.org/10.1134/s1055134424030027
- Primary Topic
- Differential Equations and Boundary Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00