Existence and stability of oscillating solutions for a class of delay differential equations |
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| Authors: | Marek Bodnar Monika Joanna Piotrowska Urszula Foryś |
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| Institution: | Institute of Applied Mathematics and Mechanics, Faculty of Mathematics, Informatics and Mechanics, University of Warsaw, Banacha 2, 02-097 Warsaw, Poland |
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| Abstract: | In this paper we study a Hopf bifurcation for a general class of simple delay differential equations with a term that can describe a treatment. Conditions guaranteeing appearance of the Hopf bifurcation as well as stability of arising periodic orbits are proved. Applications of proved theorems to a general version of the logistic equation are presented. |
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