On solvability of a periodic problem for a nonlinear telegraph equation (Q345266)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On solvability of a periodic problem for a nonlinear telegraph equation |
scientific article; zbMATH DE number 6658531
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On solvability of a periodic problem for a nonlinear telegraph equation |
scientific article; zbMATH DE number 6658531 |
Statements
On solvability of a periodic problem for a nonlinear telegraph equation (English)
0 references
1 December 2016
0 references
Time-periodic solutions of a nonlinearly perturbed constant coefficient telegraph equation in one space dimension on a finite interval are considered. On the interval boundary parts homogeneous Dirichlet and Poincaré type boundary conditions are imposed, respectively. Under suitable assumptions a-priori estimates are shown. Solutions are obtained for the inhomogeneous Dirichlet boundary condition case by discussing a non-linear integral equation re-formulation obtained via an integral representation for the solution operator of the wave equation.
0 references
non-linear telegraph equation
0 references
time-periodic solutions
0 references
Dirichlet boundary condition
0 references
Poincaré boundary condition
0 references
0 references
0 references
0 references
