Browsing by Author "BOUAKKAZ , Ahlème"

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    Existence of Solutions to a fourth order Neutral Differential Equation via the Krasnoselskii Fixed-Point Theorem
    (Faculty of Sciences, 2024) BOUGARICHE , Meriem; BOUAKKAZ , Ahlème; LATRECHE , Abdelkrim
    In this work, a fourth-order neutral functional differential equation with a time-varying delay is investigated. With the help of the Krasnoselskii fixed point theorem as well as the Green's functions method and some functional analysis tools, we established some sufficient criteria that ensure the existence of at least one positive periodic solution for the proposed equation
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    Positive periodic solutions for a class of second-order differential equations with state-dependent delays
    (Turkish Journal of Mathematics , 1412 – 1426, 2020) BOUAKKAZ , Ahlème; KHEMIS , Rabah
    In this paper, we consider a class of second order differential equations with iterative source term. The main results are obtained by virtue of a Krasnoselskii fixed point theorem and some useful properties of a Green’s function which allows us to prove the existence of positive periodic solutions. Finally, an example is included to illustrate the correctness of our results.