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A BLOW-UP RESULT FOR A STOCHASTIC HIGHER-ORDER KIRCHHOFF-TYPE EQUATION WITH NONLINEAR DAMPING AND SOURCE TERMS

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영남수학회 (Youngnam Mathematical Society)|2023.05|East Asian Mathematical Journal|제39권 제3호|pp. 319-329

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참고문헌

키워드

stochastic equationhighter-order Kirchhoff-typeblow-upglobal existence.
주제분류수학

초록

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.

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.

참고문헌 (14)

  1. L. Bo, "Explosive solutions of stochastic wave equations with damping Rd", J. Differential Equations, 244(1), pp.170~187 (2008)
  2. S. Cheng, "Stochastic viscoelastic wave equations with nonlinear damping and source terms", J. Appli. Math., 2014, pp.15~ (2014)
  3. S. Cheng, "Stochastic nonlinear thermoelastic system coupled sin-Gordon equation driven by jump noise", Abst. Appli. Anal., 2014 (2014)
  4. Q. Gao, "Blow-up of the solution for higher-order Kirchhoff-type equations with nonlinear dissipation", Central European Journal of Mathematics, 9(3), pp.686~698 (2011)
  5. H. Gao, "Stochastic wave equations with nonlinear damping and source terms", Infinite Dimensional Analysis, Quantum Probability and Related Topics, 16(2), pp.29~ (2013)
  6. X. Han, "Global existence and blow-up of solutions for nonlinear viscoelastic wave equation with degenerate damping and source", Math. Nachr, 284(5-6), pp.703~716 (2011)
  7. M. Kafini, "A blow-up result in a Cauchy viscoelastic problem", Appl. Math. Lett, 21, pp.549~553 (2008)
  8. S. Kim, "stochastic quasilinear viscoelastic wave equation with nonlinear damping and source terms", Boundary Value Problems, 2018, pp.14~ (2018)
  9. F. Li, "Global existence and blow-up of solutions for a higher-order Kirchhoff -type equation with nonlinear dissipation", Applied Mathematics Letters, 17(12), pp.1409~1414 (2004)
  10. W. Liu, "General decay and blow-up of solution for a quasilinear viscoelastic problem with nonlinear source", Nonlinear Analysis, 73, pp.1890~1904 (2010)
  11. S. M. Messaoudi, "A blow-up result for a higher-order nonlinear Kirchhoff-type hyperbolic equation", Appl. Math. Lett, 20, pp.866~871 (2007)
  12. G.D. Prato, "Stochastic equations in infinite dimensions" (1996), Cambridge University Press
  13. D.P. Rana, "Global existence and finite time blow-up in a class of stochastic nonlinear wave equations", Communications on Stochastic Analysis, 8(3), pp.381~411 (2014)
  14. H. Song, "Global nonexistence of positive initial energy solutions for a viscoelastic wave equation", Nonlinear Analysis, 125, pp.260~269 (2015)

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