Boundedness and stability for the damped and forced single well Duffing equationReport as inadecuate




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1 LJLL - 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- + gu = ƒ t where c > 0, ƒ is measurable and essentially bounded,and g is continuously differentiable with C 1 with g- ≥ b > 0.

Keywords : Duffing equation periodic solutions





Author: Alain Haraux -

Source: https://hal.archives-ouvertes.fr/



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