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Nonlinear boundary stabilization of the wave equations with variable coefficients and time dependent delay

Author

Listed:
  • Ning, Zhen-Hu
  • Shen, Chang-Xiang
  • Zhao, Xiaopeng
  • Li, Hao
  • Lin, Changsong
  • Zhang, Yanmei

Abstract

We study the stabilization the wave equations with variable coefficients in a bounded domain and nonlinear boundary feedback with time dependent delay. By the Riemannian geometry methods and a suitable assumption of delay, we obtain the exponential decay when the nonlinear terms are linearly bounded and a general decay when the nonlinear terms have no upper growth bound.

Suggested Citation

  • Ning, Zhen-Hu & Shen, Chang-Xiang & Zhao, Xiaopeng & Li, Hao & Lin, Changsong & Zhang, Yanmei, 2014. "Nonlinear boundary stabilization of the wave equations with variable coefficients and time dependent delay," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 511-520.
  • Handle: RePEc:eee:apmaco:v:232:y:2014:i:c:p:511-520
    DOI: 10.1016/j.amc.2014.01.141
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