East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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EXPONENTIAL DECAY FOR THE SOLUTION OF THE VISCOELASTIC KIRCHHOFF TYPE EQUATION WITH MEMORY CONDITION AT THE BOUNDARY

  • Kim, Daewook (Department of Mathematics and Education Seowon University)
  • Received : 2018.01.10
  • Accepted : 2018.01.27
  • Published : 2018.01.31
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Abstract

In this paper, we study the viscoelastic Kirchhoff type equation with a nonlinear source for each independent kernels h and g with respect to Volterra terms. Under the smallness condition with respect to Kirchhoff coefficient and the relaxation function and other assumptions, we prove the uniform decay rate of the Kirchhoff type energy.

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References

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