대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제38권3호
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  • Pages.943-966
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  • 2023
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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ENERGY DECAY FOR A VISCOELASTIC EQUATION WITH BALAKRISHNAN-TAYLOR DAMPING INVOLVING INFINITE MEMORY AND NONLINEAR TIME-VARYING DELAY TERMS IN DYNAMICAL BOUNDARY

  • Soufiane Benkouider (Laboratory of Pure and Applied Mathematics Amar Telidji University) ;
  • Abita Rahmoune (Department of Technical Sciences Laboratory of Pure and Applied Mathematics Amar Telidji University)
  • 투고 : 2022.07.30
  • 심사 : 2023.02.07
  • 발행 : 2023.07.31
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초록

In this paper, we study the initial-boundary value problem for viscoelastic wave equations of Kirchhoff type with Balakrishnan-Taylor damping terms in the presence of the infinite memory and external time-varying delay. For a certain class of relaxation functions and certain initial data, we prove that the decay rate of the solution energy is similar to that of relaxation function which is not necessarily of exponential or polynomial type. Also, we show another stability with g satisfying some general growth at infinity.

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과제정보

The authors would like to thank the anonymous referees and the handling editor for their remarks and suggestions.

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