Growth and blow-up of solutions with positive initial energy for a viscoelastic Kirchhoff equation with a logarithmic nonlinearity, delay and balakrishnan-Taylor damping terms. (English) Zbl 07920736
Summary: A nonlinear viscoelastic Kirchhoff-type equation with a logarithmic nonlinearity, delay and Balakrishnan-Taylor damping terms is studied. We prove the exponential growth and the blow-up of solutions with positive initial-energy under suitable hypotheses.
MSC:
| 35B40 | Asymptotic behavior of solutions to PDEs |
| 35B44 | Blow-up in context of PDEs |
| 35L20 | Initial-boundary value problems for second-order hyperbolic equations |
| 35L71 | Second-order semilinear hyperbolic equations |
| 35R09 | Integro-partial differential equations |
| 93D20 | Asymptotic stability in control theory |
Keywords:
Kirchhoff equation; exponential growth; blow up; delay term; viscoelastic term; logarithmic nonlinearityReferences:
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