Existence of periodic solutions for a nonlinear system of neutral differential equations
No Thumbnail Available
Date
2025
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Faculty of Sciences
Abstract
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