November 10, 2025MathematicsOpen Access

Asymptotic Analysis and Blow-Up of Solution for a q-Kirchhoff-Type Equation with Nonlinear Boundary Damping and Source Terms with Variable Exponents

View Full Paper

Ask AI

Bookmark

Authors

NBNouri Boumaza BGBillel Gheraibia ZHZayd Hajjej

Discussion

Member takes

Implication

The study reveals global existence and finite-time blow-up in solutions of a q-Kirchhoff-type equation, suggesting implications for related equations.

Key Points

Solutions with negative initial energy demonstrate finite-time blow-up, indicating critical thresholds in dynamic behavior.
The global existence of solutions supports continued investigation into the stability of variable exponent systems.
Asymptotic analysis provides a framework for understanding long-term behaviors and decay estimates in the system.
Findings emphasize the importance of initial conditions and damping terms in the evolution of solutions.

Cite This Study

Boumaza et al. (2025) studied this question.

synapsesocial.com/papers/69252ea8c0ce034ddc356bc6 https://doi.org/10.3390/math13223600

View Full Paper

Ask AI

Bookmark

Implication

The study reveals global existence and finite-time blow-up in solutions of a q-Kirchhoff-type equation, suggesting implications for related equations.

Asymptotic Analysis and Blow-Up of Solution for a q-Kirchhoff-Type Equation with Nonlinear Boundary Damping and Source Terms with Variable Exponents

Discussion

Member takes

Implication

Key Points

Cite This Study

Asymptotic Analysis and Blow-Up of Solution for a q-Kirchhoff-Type Equation with Nonlinear Boundary Damping and Source Terms with Variable Exponents

Discussion

Member takes

Implication

Key Points

Cite This Study

Also Consider

Also Consider