Boundedness and stability for the damped and forced single well Duffing equation - Sorbonne Université Access content directly
Journal Articles Discrete and Continuous Dynamical Systems - Series A Year : 2012

Boundedness and stability for the damped and forced single well Duffing equation

Cyrine Fitouri
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  • PersonId : 839158
Laboratoire Jacques-Louis Lions
Alain Haraux
  • Function : Author
  • PersonId : 836471
Laboratoire Jacques-Louis Lions

Abstract

By using differential inequalities we improve some estimates of W.S. LOUD for the ultimate bound and asymptotic stability of the solutions to the Duffing equation u'' + cu' + g(u) = f(t) where c > 0, f is measurable and essentially bounded, and g is continuously differentiable with g' >= b > 0.

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Classical Analysis and ODEs [math.CA] Dynamical Systems [math.DS]

Alain Haraux  : Connect in order to contact the contributor

https://hal.sorbonne-universite.fr/hal-01448178

Submitted on : Friday, January 27, 2017-3:47:09 PM

Last modification on : Friday, March 24, 2023-2:53:03 PM

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hal-01448178 , version 1 (27-01-2017)

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Cyrine Fitouri, Alain Haraux. Boundedness and stability for the damped and forced single well Duffing equation. Discrete and Continuous Dynamical Systems - Series A, 2012, 33 (1), pp.211-223. ⟨10.3934/dcds.2013.33.211⟩. ⟨hal-01448178⟩

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