Blow-up and lifespan of solutions for elastic membrane equation with distributed delay and logarithmic nonlinearity
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. ? The Author(s)...
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Springer Science and Business Media Deutschland GmbH
2025
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| Summary: | 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. ? The Author(s) 2024. |
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