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Applicable Analysis
An International Journal
Volume 47, 1992 - Issue 1-4
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Original Articles

Global uniform decay rates for the solutions to wave equation with nonlinear boundary conditions

Irena Lasiecka Department of Applied Mathematics, University of Virginia, Charlottesville, VA, 22903View further author information
Pages 191-212 | Received 15 Apr 1991, Published online: 17 Sep 2008

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Tijani A. Apalara & Abdelaziz Soufyane. (2022) Energy decay for a weakly nonlinear damped porous system with a nonlinear delay. Applicable Analysis 101:17, pages 6113-6135.
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Muhammad I. Mustafa. (2015) Uniform decay for wave equations with weakly dissipative boundary feedback. Dynamical Systems 30:2, pages 241-250.
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Articles from other publishers (20)

Richard Nutt & Roland Schnaubelt. (2024) Normal trace inequalities and decay of solutions to the nonlinear Maxwell system with absorbing boundary. Journal of Mathematical Analysis and Applications 532:1, pages 127915.
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El-Hadi Kamel, Abdelhamid Ainouz & Ammar Khemmoudj. (2022) Uniform Stabilization for a Semilinear Wave Equation with Variable Coefficients and Nonlinear Boundary Conditions. Taiwanese Journal of Mathematics -1:-1.
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Kassimu Mpungu & Tijani A. Apalara. (2021) EXPONENTIAL STABILITY OF LAMINATED BEAM WITH CONSTANT DELAY FEEDBACK. Mathematical Modelling and Analysis 26:4, pages 566-581.
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Muhammad I. Mustafa, Salim A. Messaoudi & Mostafa Zahri. (2021) Theoretical and computational results of a wave equation with variable exponent and time-dependent nonlinear damping. Arabian Journal of Mathematics 10:2, pages 443-458.
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Muhammad I. Mustafa. (2021) Energy estimates to the Cauchy problem of a weakly damped Klein‐Gordon equation with variable‐exponent nonlinearity. Mathematical Methods in the Applied Sciences 44:11, pages 8999-9011.
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Muhammad I. Mustafa. (2017) Uniform Stability of Second Sound Thermoelasticity with Distributed Delay. Differential Equations and Dynamical Systems 29:3, pages 597-608.
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Yu-ming Qin, Tian-hui Wei & Jia Ren. (2016) Global existence, asymptotic behavior and uniform attractors for non-autonomous thermoelastic systems. Acta Mathematicae Applicatae Sinica, English Series 32:4, pages 1015-1034.
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M. Milla Miranda, A.T. Louredo, M.R. Clark & H.R. Clark. (2016) On energy wave equations with non-negative non-linear terms. International Journal of Non-Linear Mechanics 82, pages 6-16.
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Muhammad I. Mustafa. (2014) Uniform Decay Rates for Viscoelastic Dissipative Systems. Journal of Dynamical and Control Systems 22:1, pages 101-116.
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Tijani A. Apalara & Salim A. Messaoudi. (2014) An Exponential Stability Result of a Timoshenko System with Thermoelasticity with Second Sound and in the Presence of Delay. Applied Mathematics & Optimization 71:3, pages 449-472.
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Muhammad I. Mustafa. (2014) A uniform stability result for thermoelasticity of type III with boundary distributed delay. Journal of Mathematical Analysis and Applications 415:1, pages 148-158.
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Muhammad I. Mustafa. (2012) Asymptotic behavior of second sound thermoelasticity with internal time-varying delay. Zeitschrift für angewandte Mathematik und Physik 64:4, pages 1353-1362.
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Yuming Qin, Jia Ren & Tianhui Wei. (2012) Global existence, asymptotic stability, and uniform attractors for non-autonomous thermoelastic systems with constant time delay. Journal of Mathematical Physics 53:6.
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Muhammad I. Mustafa. (2011) Uniform stability for thermoelastic systems with boundary time-varying delay. Journal of Mathematical Analysis and Applications 383:2, pages 490-498.
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Boris V. Kapitonov & G. Perla Menzala. (2006) Boundary Stabilization and a Problem of Transmission for a System of Propagation of Sound. Funkcialaj Ekvacioj 49:1, pages 107-132.
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Jong-Yeoul PARK & Joung-Ae KIM. (2005) GLOBAL EXISTENCE AND STABILITY FOR EULER-BERNOULLI BEAM EQUATION WITH MEMORY CONDITION AT THE BOUNDARY. Journal of the Korean Mathematical Society 42:6, pages 1137-1152.
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Jaime E. Muñoz Rivera & Alfonso Peres Salvatierra. (2001) Asymptotic behaviour of the energy in partially viscoelastic materials. Quarterly of Applied Mathematics 59:3, pages 557-578.
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Jaime E. Mu�oz Rivera & Doherty Andrade. (2000) Exponential decay of non-linear wave equation with a viscoelastic boundary condition. Mathematical Methods in the Applied Sciences 23:1, pages 41-61.
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William H. Hager & Panos M. PardalosGuangcao Ji & Irena Lasiecka. 1998. Optimal Control. Optimal Control 224 249 .
M. A. Horn & I. Lasiecka. (1995) Global stabilization of a dynamic von K�rm�n plate with nonlinear boundary feedback. Applied Mathematics & Optimization 31:1, pages 57-84.
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