The Fourier Method and the Generalized Solution of the Mixed Problem for Inhomogeneous Wave Equation
Under minimal conditions on the right side of the wave equation, a generalized solution to the mixed problem is constructed. The solution is presented in the form of a series from the Fourier method, its sum is found, which is taken as a generalized solution to the problem. The form of generalized solution of a mixed problem for an inhomogeneous telegraph equation is obtained.
Authors
- И. С. Ломов (ORCID: https://orcid.org/0000-0003-1510-1739)
Institutions
- Lomonosov Moscow State University (RU)
Publication Details
- Journal
- Lobachevskii Journal of Mathematics
- Published
- 2024-11-01
- DOI
- https://doi.org/10.1134/s1995080224606465
- Citations
- 1
- Primary Topic
- Differential Equations and Boundary Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.97