Energy decay for a nonlinear wave equation of variable coefficients with acoustic boundary conditions and a time-varying delay in the boundary feedback. (January 2015)

• Record Type: Journal Article
• Authors: Li, Jing; Chai, Shugen
• Is Part Of: Nonlinear analysis. Volume 112(2015)
• Page Start: 105
• Page End: 117
• Publication Date: 2015-01
• Subjects: Wave equation -- Variable coefficients -- Energy decay -- Acoustic boundary conditions -- Time-varying delay; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2014.08.021
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: A variable-coefficient wave equation with acoustic boundary conditions and a time-varying delay in the boundary feedback is considered. Applying the Riemannian geometry method, we show that the decay rates of the nonlinear system with a time-varying delay are described by solutions to a first order ODE.