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

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.

Bibliographic Details
Main Authors:	Salah Boulaaras, Rashid Jan, Abdelbaki Choucha, Aderrahmane Zaraï, Mourad Benzahi
Format:	Article
Language:	English
Published:	SpringerOpen 2024-03-01
Series:	Boundary Value Problems
Subjects:	Kirchhoff equation Partial differential equations Blow-up Distributed delay term Viscoelastic term Logarithmic nonlinearity
Online Access:	https://doi.org/10.1186/s13661-024-01843-5

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