CONDITIONS FOR SOLVABILITY OF THE CAUCHY PROBLEM FOR ONE PSEUDOHYPERBOLIC SYSTEM
The Cauchy problem for one system, not resolved with respect to the highest derivative with respect to time, is considered. The system under study belongs to the class of pseudohyperbolic systems. The system describes transverse bending-torsional vibrations of an elastic rod. Conditions for the solvability of the Cauchy problem in Sobolev spaces and estimates of the solution are obtained.
Authors
- L. N. Bondar (ORCID: https://orcid.org/0000-0003-0393-7088)
- S. B. Mingnarov
Institutions
- Novosibirsk State University (RU)
Publication Details
- Journal
- Журнал вычислительной математики и математической физики
- Published
- 2024-12-15
- DOI
- https://doi.org/10.31857/s0044466924080092
- Primary Topic
- Differential Equations and Boundary Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00