Browsing by Author "Mebaoudj ,Rayane"

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    Existence of periodic solutions for a nonlinear system of neutral differential equations
    (Faculty of Sciences, 2025) Mebaoudj ,Rayane; Benhadri ,Mimia
    The aimofthisworkistostudytheexistenceofperiodicsolutionsforanonlinearsystem of neutraldifferentialequationswithvariabledelays. In theprocess,wetransformthedifferentialsystemintoanequivalentintegralsystem. Then, weconstructappropriatemappingsonaboundedclosedandconvexsetofaBanach space. Underspecificconditions,weapply the Krasnoselskiifixedpointtheorem for obtaining the existenceresult.Whereas,theexistenceofauniqueperiodicsolutionisdeterminedby the contractionmappingprinciple. Ourresultsareconsideredageneralizationofsomecon- clusions proposedinrecentliterature.Themainresultsareillustratedwithanappropriate example