Acta mathematica scientia,Series A ›› 2024, Vol. 44 ›› Issue (1): 133-139.

Previous Articles     Next Articles

Stabilization of Degenerate Wave Equations with Delayed Boundary Feedback

Bai Jinyan1(),Chai Shugen2,*()   

  1. 1. Department of Mathematics, Jinzhong University, Shanxi Jinzhong 030619
    2. School of Mathematical Sciences, Shanxi University, Taiyuan 030006
  • Received:2023-01-25 Revised:2023-09-11 Online:2024-02-26 Published:2024-01-10
  • Supported by:
    NSFC(12271316);NSFY(12001343);Natural Science Foundation of Shanxi Province(201901D111042);Technical Innovation Team of Jinzhong University(jzxyjscxtd202111)

Abstract:

In this paper, we study the stabilization of degenerate wave equations with time-delay boundary feedback. Firstly, the well-posedness of the solution is proved by using semigroup theory. And then the exponential stability of the solution is proved by selecting suitable multipliers and constructing suitable Lyapunov functional.

Key words: Degenerate wave equation, Time delay, Feedback stabilization

CLC Number: 

  • O231.4
Trendmd