Asymptotic Analysis and Blow-Up of Solution for a q-Kirchhoff-Type Equation with Nonlinear Boundary Damping and Source Terms with Variable Exponents
In this study, we examine a q-Kirchhoff-type equation defined on a bounded domain, incorporating nonlinear boundary damping and source terms with variable exponents. Assuming appropriate conditions on the initial data and the variable exponent functions, we establish the global existence of solutions. Subsequently, we derive a general decay estimate for these solutions. Lastly, we demonstrate that solutions with negative initial energy exhibit finite-time blow-up.
Authors
- Zayd Hajjej (ORCID: https://orcid.org/0000-0003-0622-0779)
- Saïd Mesloub (ORCID: https://orcid.org/0000-0002-2018-0382)
- Nouri Boumaza (ORCID: https://orcid.org/0000-0001-5775-7766)
- Billel Gheraibia (ORCID: https://orcid.org/0000-0002-9473-603X)
- Hongwei Zhang (ORCID: https://orcid.org/0000-0002-0898-7765)
Institutions
- King Saud University (SA)
- Larbi Ben M'hidi University of Oum El Bouaghi (DZ)
- Henan University of Technology (CN)
- Université Larbi Tébessi (DZ)
Publication Details
- Journal
- Mathematics
- Published
- 2025-11-10
- DOI
- https://doi.org/10.3390/math13223600
- Primary Topic
- Stability and Controllability of Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00