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General decay for weak viscoelastic equation of Kirchhoff type containing Balakrishnan-Taylor damping with nonlinear delay and acoustic boundary conditions
  • Mi Jin Lee,
  • Jong-Yeoul Park,
  • Jum-Ran Kang
Mi Jin Lee
Pusan National University
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Jong-Yeoul Park
Pusan National University
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Jum-Ran Kang
Pukyong National University
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Abstract

In this paper, we consider the general energy decay for weak viscoelastic equation of Kirchhoff type containing Balakrishnan-Taylor damping with nonlinear delay and acoustic boundary conditions. By introducing suitable energy and Lyapunov functionals, we establish the general decay estimates for the energy, which depends on the behavior of both sigma and g.