⌘+K

Pulse Explore Communities Researchers Journals

Home Communities Explore

March 8, 2024Boundary Value ProblemsOpen Access

Blow-up and lifespan of solutions for elastic membrane equation with distributed delay and logarithmic nonlinearity

Salah Boulaaras Rashid Jan Abdelbaki Choucha Aderrahmane Zaraï Mourad Benzahi

View Full Paper

Ask AI

Bookmark

Share

Ask about this paper

Answers are grounded in this paper and cite their sources.

Ask your own question…

Abstract

We examine a Kirchhoff-type equation with nonlinear viscoelastic properties, characterized by distributed delay, logarithmic nonlinearity, and Balakrishnan–Taylor damping terms (elastic membrane equation). Under appropriate hypotheses, we establish the occurrence of solution blow-up.

Discussion

No takes yet. Share an insight, caveat, or question.

Cite This Study

Boulaaras et al. (2024) studied this question.

synapsesocial.com/papers/68e74e25b6db6435876c7010 https://doi.org/10.1186/s13661-024-01843-5

View Full Paper

Ask AI

Bookmark

Share

Keep reading

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Blow‐up and decay of solutions for a viscoelastic Kirchhoff‐type equation with distributed delay and variable exponents2024 · 19 citations
2Blow up, growth, and decay of solutions for a class of coupled nonlinear viscoelastic Kirchhoff equations with distributed delay and variable exponents2024 · 8 citations
3Global Solution, Decay, and Blow-Up of a Viscoelastic Kirchhoff System with Logarithmic Nonlinearity and Acoustic Fractional Delay Boundary ConditionsOriginal Research · 2026 · 1 citations
4Blow-up of solutions for a system of nonlocal singular viscoelastic equations with sources and distributed delay terms2024 · 6 citations
5Existence and blow up of solutions for a singular higher-order viscoelastic parabolic equation with logarithmic nonlinearityOriginal Research · 2025 · 1 citations

Local Existence and Blow-Up Analysis for a Damped Viscoelastic Kirchhoff-Type Equation with Logarithmic Power Source2026
Local existence and finite time blow-up of solutions for a viscoelastic Kirchhoff-like plate equation with logarithmic source term2026
On a class of a coupled nonlinear viscoelastic Kirchhoff equations variable-exponents: global existence, blow up, growth and decay of solutions2024
Existence and uniqueness results of the sequential (κ ,Φ )-Hilfer and (κ ,Φ )-Caputo fractional systemBoundary Value Problems · 2026
Existence and uniqueness of positive solutions for integral boundary value problems of fractional differential equationsBoundary Value Problems · 2026

More from Boundary Value Problems

More from Universiti Tenaga Nasional

More from Qassim University

More from University of Laghouat

More from Université Larbi Tébessi