Title | ||
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Nonlinear boundary stabilization of the wave equations with variable coefficients and time dependent delay. |
Abstract | ||
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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. |
Year | DOI | Venue |
---|---|---|
2014 | 10.1016/j.amc.2014.01.141 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Wave equations,Time dependent delay,Nonlinear boundary feedback,Riemannian geometry methods | Mathematical optimization,Nonlinear system,Mathematical analysis,Exponential decay,Wave equation,Riemannian geometry,Mathematics,Bounded function | Journal |
Volume | Issue | ISSN |
232 | null | 0096-3003 |
Citations | PageRank | References |
0 | 0.34 | 3 |
Authors | ||
6 |
Name | Order | Citations | PageRank |
---|---|---|---|
Zhen-Hu Ning | 1 | 7 | 5.51 |
Changxiang Shen | 2 | 127 | 14.57 |
Xiao-peng Zhao | 3 | 74 | 12.48 |
Hao Li | 4 | 0 | 0.34 |
Changsong Lin | 5 | 2 | 1.10 |
Yanmei Zhang | 6 | 0 | 0.34 |