Nonlocal problems for hyperbolic equations from the viewpoint of strongly regular boundary conditions
Date
2020-04-06
Authors
Pulkina, Ludmila S.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article, we consider a nonlocal problem for hyperbolic equation with integral conditions and show their close connection with the notion of strongly regular boundary conditions. This has an important bearing on the method of the study of solvability. We propose also a new approach which enables us to prove a unique solvability of the nonlocal problem with integral condition.
Description
Keywords
Nonlocal problem, Hyperbolic equation, Nonlocal integral conditions, Dynamical boundary conditions, Strongly regular boundary conditions, Weak solution
Citation
Pulkina, L. S. (2020). Nonlocal problems for hyperbolic equations from the viewpoint of strongly regular boundary conditions. Electronic Journal of Differential Equations, 2020(28), pp. 1-20.
Rights
Attribution 4.0 International