# American Institute of Mathematical Sciences

June  2011, 4(3): 615-622. doi: 10.3934/dcdss.2011.4.615

## Stability of solutions for nonlinear wave equations with a positive--negative damping

 1 Dipartimento di Ingegneria dell’Informazione, Università degli Studi di Siena, Via Roma 56, 53100 Siena 2 Dipartimento di Matematica e Informatica, Università di Perugia, Via Vanvitelli 1, 06123 Perugia, Italy

Received  March 2009 Revised  February 2010 Published  November 2010

We prove a stability result for damped nonlinear wave equations, when the damping changes sign and the nonlinear term satisfies a few natural assumptions.
Citation: Genni Fragnelli, Dimitri Mugnai. Stability of solutions for nonlinear wave equations with a positive--negative damping. Discrete & Continuous Dynamical Systems - S, 2011, 4 (3) : 615-622. doi: 10.3934/dcdss.2011.4.615
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