Stability and existence of multiple periodic solutions for a quasilinear differential equation with maxima

Manuel Pinto; Sergei Trofimchuk

doi:10.1017/S0308210500000597

Abstract

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We study the stability of periodic solutions of the scalar delay differential equation where f(t) is a periodic forcing term and δ,p∈R. We study stability in the first approximation showing that the non-smooth equation (*) can be linearized along some ‘non-singular’ periodic solutions. Then the corresponding variational equation together with the Krasnosel'skij index are used to prove the existence of multiple periodic solutions to (*). Finally, we apply a generalization of Halanay's inequality to establish conditions for global attractivity in equations with maxima.

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This article has been cited by the following publications. This list is generated based on data provided by Crossref.

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Stability and existence of multiple periodic solutions for a quasilinear differential equation with maxima

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