Positive periodic solutions for a class of second-order differential equations with state-dependent delays
Ahlème Bouakkaz, Rabah Khemis
Abstract
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.
Topics & Concepts
MathematicsClass (philosophy)Fixed-point theoremCorrectnessOrder (exchange)Differential equationState (computer science)Function (biology)Applied mathematicsMathematical analysisFixed pointDifferential (mechanical device)Pure mathematicsComputer scienceAlgorithmEngineeringEvolutionary biologyAerospace engineeringArtificial intelligenceBiologyEconomicsFinanceNonlinear Differential Equations AnalysisDifferential Equations and Numerical MethodsMathematical and Theoretical Epidemiology and Ecology Models