Glasnik matematički, Vol. 43 No. 2, 2008.
Izvorni znanstveni članak
https://doi.org/10.3336/gm.43.2.10
Energy decay estimates for a wave equation with nonlinear boundary fee
Mohammad Cherkaoui
; Université Moulay Ismail, Département de Mathematiques, Faculté des Sciences et Techniques, B. P. 509, Errachidia, Maroc
Naji Yebari
; Université Abdelmalek Essaadi, Département de Mathematiques, Faculté des Sciences, B. P. 2121, Tetouan, Maroc
Sažetak
We study a wave equation in one dimensional space with nonlinear dissipative boundary feedback at both ends. We prove existence and uniqueness of solution, strong and uniform exponential decay of energy under some conditions in the nonlinear feedback. Decay rate estimates of the energy are given under weak growth assumptions on the feedback functions
Ključne riječi
Wave equation; nonlinear boundary value problems; stabilization of systems by feedback; Lyapunov stability; polynomial decay
Hrčak ID:
28902
URI
Datum izdavanja:
10.11.2008.
Posjeta: 747 *