GROWTH AND BLOW-UP OF SOLUTIONS WITH POSITIVE INITIAL ENERGY FOR A VISCOELASTIC KIRCHHOFF EQUATION WITH A LOGARITHMIC NONLINEARITY, DELAY AND BALAKRISHNAN-TAYLOR DAMPING TERMS
A nonlinear viscoelastic Kirchhoff-type equation with a logarithmic nonlinearity, delay and Balakrishnan-Taylor damping terms is studied. We prove the exponential growth and the blow-up of solutions with positive initial-energy under suitable hypotheses. ? 2024 American Institute of Mathematical Sci...
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American Institute of Mathematical Sciences
2025
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| author | Choucha A. Jan R. Mekawy I. Alharbi A. Alnegga M. |
| author2 | 57216493937 |
| author_facet | 57216493937 Choucha A. Jan R. Mekawy I. Alharbi A. Alnegga M. |
| author_sort | Choucha A. |
| building | UNITEN Library |
| collection | Institutional Repository |
| content_provider | Universiti Tenaga Nasional |
| content_source | UNITEN Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | A nonlinear viscoelastic Kirchhoff-type equation with a logarithmic nonlinearity, delay and Balakrishnan-Taylor damping terms is studied. We prove the exponential growth and the blow-up of solutions with positive initial-energy under suitable hypotheses. ? 2024 American Institute of Mathematical Sciences. All rights reserved. |
| format | Article |
| id | my.uniten.dspace-36375 |
| institution | Universiti Tenaga Nasional |
| publishDate | 2025 |
| publisher | American Institute of Mathematical Sciences |
| record_format | dspace |
| spelling | my.uniten.dspace-363752025-03-03T15:42:08Z GROWTH AND BLOW-UP OF SOLUTIONS WITH POSITIVE INITIAL ENERGY FOR A VISCOELASTIC KIRCHHOFF EQUATION WITH A LOGARITHMIC NONLINEARITY, DELAY AND BALAKRISHNAN-TAYLOR DAMPING TERMS Choucha A. Jan R. Mekawy I. Alharbi A. Alnegga M. 57216493937 57205596279 57222488593 57216649946 57194856346 A nonlinear viscoelastic Kirchhoff-type equation with a logarithmic nonlinearity, delay and Balakrishnan-Taylor damping terms is studied. We prove the exponential growth and the blow-up of solutions with positive initial-energy under suitable hypotheses. ? 2024 American Institute of Mathematical Sciences. All rights reserved. Final 2025-03-03T07:42:08Z 2025-03-03T07:42:08Z 2024 Article 10.3934/dcdss.2024068 2-s2.0-85199887249 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85199887249&doi=10.3934%2fdcdss.2024068&partnerID=40&md5=a7189e8360e6b45c78c4571e5889659d https://irepository.uniten.edu.my/handle/123456789/36375 17 10 3018 3034 All Open Access; Gold Open Access American Institute of Mathematical Sciences Scopus |
| spellingShingle | Choucha A. Jan R. Mekawy I. Alharbi A. Alnegga M. GROWTH AND BLOW-UP OF SOLUTIONS WITH POSITIVE INITIAL ENERGY FOR A VISCOELASTIC KIRCHHOFF EQUATION WITH A LOGARITHMIC NONLINEARITY, DELAY AND BALAKRISHNAN-TAYLOR DAMPING TERMS |
| title | GROWTH AND BLOW-UP OF SOLUTIONS WITH POSITIVE INITIAL ENERGY FOR A VISCOELASTIC KIRCHHOFF EQUATION WITH A LOGARITHMIC NONLINEARITY, DELAY AND BALAKRISHNAN-TAYLOR DAMPING TERMS |
| title_full | GROWTH AND BLOW-UP OF SOLUTIONS WITH POSITIVE INITIAL ENERGY FOR A VISCOELASTIC KIRCHHOFF EQUATION WITH A LOGARITHMIC NONLINEARITY, DELAY AND BALAKRISHNAN-TAYLOR DAMPING TERMS |
| title_fullStr | GROWTH AND BLOW-UP OF SOLUTIONS WITH POSITIVE INITIAL ENERGY FOR A VISCOELASTIC KIRCHHOFF EQUATION WITH A LOGARITHMIC NONLINEARITY, DELAY AND BALAKRISHNAN-TAYLOR DAMPING TERMS |
| title_full_unstemmed | GROWTH AND BLOW-UP OF SOLUTIONS WITH POSITIVE INITIAL ENERGY FOR A VISCOELASTIC KIRCHHOFF EQUATION WITH A LOGARITHMIC NONLINEARITY, DELAY AND BALAKRISHNAN-TAYLOR DAMPING TERMS |
| title_short | GROWTH AND BLOW-UP OF SOLUTIONS WITH POSITIVE INITIAL ENERGY FOR A VISCOELASTIC KIRCHHOFF EQUATION WITH A LOGARITHMIC NONLINEARITY, DELAY AND BALAKRISHNAN-TAYLOR DAMPING TERMS |
| title_sort | growth and blow-up of solutions with positive initial energy for a viscoelastic kirchhoff equation with a logarithmic nonlinearity, delay and balakrishnan-taylor damping terms |
| url_provider | http://dspace.uniten.edu.my/ |