Electron. J. Diff. Equ., Vol. 2015 (2015), No. 302, pp. 1-11.

Asymptotic behavior for second-order differential equations with nonlinear slowly time-decaying damping and integrable source

Mounir Balti

In this article we establish convergence to the equilibrium of all global and bounded solutions of a gradient-like system of second-order with slow dissipation. Also we estimate the rate of convergence.

Submitted November 24, 2015. Published December 11, 2015.
Math Subject Classifications: 34A12, 34A34, 34A40, 34D05.
Key Words: Dissipative dynamical system; asymptotic behavior; nonautonomous asymptotically small dissipation; gradient system.

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Mounir Balti
Université de Carthage
Institut Préparatoire aux Etudes Scientifiques et Techniques
B.P. 51, 2070 La Marsa, Tunisia.
Faculté des sciences de Tunis, Laboratoire EDP-LR03ES04
Université de Tunis El Manar, Tunis, Tunisia
email: mounir.balti@gmail.com

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