General decay for weak viscoelastic equation of Kirchhoff type containing Balakrishnan–Taylor damping with nonlinear delay and acoustic boundary conditions

被引：0
|
作者：
Min Yoon
Mi Jin Lee
Jum-Ran Kang
机构：
[1] Pukyong National University,Department of Applied Mathematics
[2] Pusan National University,Department of Mathematics
来源：
Boundary Value Problems | / 2022卷
关键词：
Weak viscoelastic equation; Balakrishnan–Taylor damping; Acoustic boundary conditions; Nonlinear delay; General decay rate; 35L70; 35B40; 35B35;
D O I：
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学科分类号：
摘要：
In this paper, we consider the general decay of solutions for the weak viscoelastic equation of Kirchhoff type containing Balakrishnan–Taylor damping with nonlinear delay and acoustic boundary conditions. By using suitable energy and Lyapunov functionals, we prove the general decay for the energy, which depends on the behavior of both σ and k.
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