On Certain Method for Studying the Solvability of a Nonlocal Problem for the Boussinesq–Love Equation
This paper deals with the initial value problem with two nonlocal integral conditions in a rectangle for the Boussinesq–Love equation. The research method used is based on reducing the original problem to two second-order equations, transitioning to an operator equation and justifying its solvability. As a result of the work, a theorem on the existence and uniqueness of a solution to the problem was formulated.
Authors
- A. V. Gilev (ORCID: https://orcid.org/0000-0001-6747-5826)
Institutions
- Samara National Research University (RU)
Publication Details
- Journal
- Lobachevskii Journal of Mathematics
- Published
- 2024-11-01
- DOI
- https://doi.org/10.1134/s1995080224606362
- Primary Topic
- Differential Equations and Boundary Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00