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

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2024年3月8日

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Salah Boulaaras,
Rashid Jan,
Abdelbaki Choucha,
Aderrahmane Zaraï,
Mourad Benzahi

摘要

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.