| Title:
|
Existence and stability results of nonlinear higher-order wave equation with a nonlinear source term and a delay term (English) |
| Author:
|
Abdelli, Mama |
| Author:
|
Beniani, Abderrahmane |
| Author:
|
Mezouar, Nadia |
| Author:
|
Chahtou, Ahmed |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
148 |
| Issue:
|
1 |
| Year:
|
2023 |
| Pages:
|
11-34 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We consider the initial-boundary value problem for a nonlinear higher-order nonlinear hyperbolic equation in a bounded domain. The existence of global weak solutions for this problem is established by using the potential well theory combined with Faedo-Galarkin method. We also established the asymptotic behavior of global solutions as $t\rightarrow \infty $ by applying the Lyapunov method. (English) |
| Keyword:
|
nonlinear higher-order hyperbolic equation |
| Keyword:
|
nonlinear source term |
| Keyword:
|
global existence |
| MSC:
|
35B40 |
| MSC:
|
35L05 |
| MSC:
|
35L75 |
| idZBL:
|
Zbl 07655810 |
| idMR:
|
MR4536307 |
| DOI:
|
10.21136/MB.2022.0141-20 |
| . |
| Date available:
|
2023-02-03T11:19:24Z |
| Last updated:
|
2023-09-13 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/151524 |
| . |
| Reference:
|
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| Reference:
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| . |
