East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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A BLOW-UP RESULT FOR A STOCHASTIC HIGHER-ORDER KIRCHHOFF-TYPE EQUATION WITH NONLINEAR DAMPING AND SOURCE TERMS

  • Yong Han Kang (Francisco College, Catholic University of Daegu)
  • Received : 2023.03.13
  • Accepted : 2023.04.04
  • Published : 2023.05.31
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Abstract

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.

Keywords

Acknowledgement

This work was financially supported by research grants from the Daegu Catholic University in 2021 (Number 20211067).

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