A blow-up result for a stochastic higher-order Kirchhoff-type equation with nonlinear damping and source terms. (English) Zbl 1531.35090
Summary: In this paper, we consider a stochastic higher-order Kirchhoff-type equation with nonlinear damping and source terms. We prove the blow-up of solution for a stochastic higher-order Kirchhoff-type equation with positive probability or explosive in energy sense.
MSC:
| 35B44 | Blow-up in context of PDEs |
| 35L35 | Initial-boundary value problems for higher-order hyperbolic equations |
| 35L77 | Higher-order quasilinear hyperbolic equations |
| 35R09 | Integro-partial differential equations |
| 35R60 | PDEs with randomness, stochastic partial differential equations |
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