Stabilization of the Wave Equation with Boundary Time-Varying Delay | Zendy

Hao Li | Zendy; Changsong Lin | Zendy; Shupeng Wang | Zendy; Yanmei Zhang | Zendy

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Stabilization of the Wave Equation with Boundary Time-Varying Delay

Author(s) -

Hao Li,

Changsong Lin,

Shupeng Wang,

Yanmei Zhang

Publication year - 2014

Publication title -

advances in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.283

H-Index - 23

eISSN - 1687-9139

pISSN - 1687-9120

DOI - 10.1155/2014/735341

Subject(s) - bounded function , nonlinear system , boundary (topology) , mathematical analysis , mathematics , term (time) , variable (mathematics) , domain (mathematical analysis) , wave equation , boundary value problem , energy (signal processing) , time domain , control theory (sociology) , physics , computer science , control (management) , statistics , quantum mechanics , artificial intelligence , computer vision

We study the stabilization of the wave equation with variable coefficients in a bounded domain and a time-varying delay term in the time-varying, weakly nonlinear boundary feedbacks. By the Riemannian geometry methods and a suitable assumption of nonlinearity, we obtain the uniform decay of the energy of the closed loop system

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