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

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.

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Autori principali:	Salah Boulaaras, Rashid Jan, Abdelbaki Choucha, Aderrahmane Zaraï, Mourad Benzahi
Natura:	Artigo
Lingua:	Inglês
Pubblicazione:	SpringerOpen 2024-03-01
Serie:	Boundary Value Problems
Soggetti:	Kirchhoff equation Partial differential equations Blow-up Distributed delay term Viscoelastic term Logarithmic nonlinearity
Accesso online:	https://doi.org/10.1186/s13661-024-01843-5
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