18 citations · 27 across the 4 of their papers we have counts for
7 papers
A sharp stability criterion for single well Duffing and Duffing-like equations
Alain Haraux
We refine some previous sufficient conditions for exponential stability of the linear ODE where and is a bounded nonnegative time depende…
Small perturbations for a Duffing-like evolution equation involving non-commuting operators
Marina Ghisi, Massimo Gobbino, Alain haraux
We consider an abstract evolution equation with linear damping, a nonlinear term of Duffing type, and a small forcing term. The abstract problem is inspired by some models for damp…
An infinite dimensional Duffing-like evolution equation with linear dissipation and an asymptotically small source term
Marina Ghisi, Massimo Gobbino, Alain Haraux
We consider an abstract nonlinear second order evolution equation, inspired by some models for damped oscillations of a beam subject to external loads or magnetic fields, and shake…
Quantization of energy and weakly turbulent profiles of the solutions to some damped second order evolution equations
Marina Ghisi, Massimo Gobbino, Alain Haraux
We consider a second order equation with a linear "elastic" part and a nonlinear damping term depending on a power of the norm of the velocity. We investigate the asymptotic behavi…
A Liapunov function approach to the stabilization of second order coupled systems
Alain Haraux, Mohamed Ali Jendoubi
In 2002, Fatiha Alabau, Piermarco Cannarsa and Vilmos Komornik investigated the extent of asymptotic stability of the null solution for weakly coupled partially damped equations of…
The remarkable effectiveness of time-dependent damping terms for second order evolution equations
Marina Ghisi, Massimo Gobbino, Alain Haraux
We consider a second order linear evolution equation with a dissipative term multiplied by a time-dependent coefficient. Our aim is to design the coefficient in such a way that all…