Solving a System of Differential Equations with Infinite Delay by Using Tripled Fixed Point Techniques on Graphs
Hasanen A. Hammad, Mohra Zayed
Abstract
In this manuscript, some similar tripled fixed point results under certain restrictions on a b−metric space endowed with graphs are established. Furthermore, an example is provided to support our results. The obtained results extend, generalize, and unify several similar significant contributions in the literature. Finally, to further extend our results, the existence of a solution to a system of ordinary differential equations with infinite delay is derived.
Topics & Concepts
Fixed pointMetric spaceOrdinary differential equationMathematicsFixed-point theoremDelay differential equationDifferential equationApplied mathematicsMetric (unit)Computer scienceDiscrete mathematicsMathematical analysisEconomicsOperations managementFixed Point Theorems AnalysisNonlinear Differential Equations AnalysisDifferential Equations and Numerical Methods