Existence des solutions périodiques positives pour certain équation différentiel
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Date
2017-04-19
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Université de M'sila
Abstract
In this thesis we study qualitative properties of broad classes of nonlinear delay differential equations. We start by giving some fixed point theorems and results for delay differential equations. Second we study the periodicity and positivity of solutions for a class of nonlinear differential equations with functional delay by using the Krasnoselskii's fixed point theorem, the contraction mapping principle and the Green's function.
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Keywords
: Delay differential equations, Fixed point theory, Periodicity, Positivity. Mathematics Subject Classification: 34K13, 34K20, 45D05, 45J05, 47H10.