Blow up, growth, and decay of solutions for a class of coupled nonlinear viscoelastic Kirchhoff equations with distributed delay and variable exponents
In this work, we consider a quasilinear system of viscoelastic equations with dispersion, source, distributed delay, and variable exponents. Under a suitable hypothesis the blow-up and growth of solutions are proved, and by using an integral inequality due to Komornik the general decay result is obt...
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2025
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| author | Boulaaras S. Choucha A. Ouchenane D. Jan R. |
| author2 | 36994353700 |
| author_facet | 36994353700 Boulaaras S. Choucha A. Ouchenane D. Jan R. |
| author_sort | Boulaaras S. |
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| content_provider | Universiti Tenaga Nasional |
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| continent | Asia |
| country | Malaysia |
| description | In this work, we consider a quasilinear system of viscoelastic equations with dispersion, source, distributed delay, and variable exponents. Under a suitable hypothesis the blow-up and growth of solutions are proved, and by using an integral inequality due to Komornik the general decay result is obtained in the case of absence of the source term f1=f2=0. ? The Author(s) 2024. |
| format | Article |
| id | my.uniten.dspace-36248 |
| institution | Universiti Tenaga Nasional |
| publishDate | 2025 |
| publisher | Springer Nature |
| record_format | dspace |
| spelling | my.uniten.dspace-362482025-03-03T15:41:41Z Blow up, growth, and decay of solutions for a class of coupled nonlinear viscoelastic Kirchhoff equations with distributed delay and variable exponents Boulaaras S. Choucha A. Ouchenane D. Jan R. 36994353700 57216493937 55559053400 57205596279 In this work, we consider a quasilinear system of viscoelastic equations with dispersion, source, distributed delay, and variable exponents. Under a suitable hypothesis the blow-up and growth of solutions are proved, and by using an integral inequality due to Komornik the general decay result is obtained in the case of absence of the source term f1=f2=0. ? The Author(s) 2024. Final 2025-03-03T07:41:41Z 2025-03-03T07:41:41Z 2024 Article 10.1186/s13660-024-03132-2 2-s2.0-85189946673 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85189946673&doi=10.1186%2fs13660-024-03132-2&partnerID=40&md5=c732533e4c966df3353d5c0afe80f9b6 https://irepository.uniten.edu.my/handle/123456789/36248 2024 1 55 All Open Access; Gold Open Access Springer Nature Scopus |
| spellingShingle | Boulaaras S. Choucha A. Ouchenane D. Jan R. Blow up, growth, and decay of solutions for a class of coupled nonlinear viscoelastic Kirchhoff equations with distributed delay and variable exponents |
| title | Blow up, growth, and decay of solutions for a class of coupled nonlinear viscoelastic Kirchhoff equations with distributed delay and variable exponents |
| title_full | Blow up, growth, and decay of solutions for a class of coupled nonlinear viscoelastic Kirchhoff equations with distributed delay and variable exponents |
| title_fullStr | Blow up, growth, and decay of solutions for a class of coupled nonlinear viscoelastic Kirchhoff equations with distributed delay and variable exponents |
| title_full_unstemmed | Blow up, growth, and decay of solutions for a class of coupled nonlinear viscoelastic Kirchhoff equations with distributed delay and variable exponents |
| title_short | Blow up, growth, and decay of solutions for a class of coupled nonlinear viscoelastic Kirchhoff equations with distributed delay and variable exponents |
| title_sort | blow up, growth, and decay of solutions for a class of coupled nonlinear viscoelastic kirchhoff equations with distributed delay and variable exponents |
| url_provider | http://dspace.uniten.edu.my/ |