Existence and Stability of Positive Periodic Solutions to Functional Differential Equations

TL;DR

This paper develops delay-independent criteria for the existence and stability of positive periodic solutions in n-dimensional nonautonomous functional differential equations, using fixed point theorems and illustrating with feedback system examples.

Contribution

It introduces new delay-independent criteria for positive periodic solutions and their stability in complex differential equations, expanding theoretical understanding.

Findings

Criteria are delay-independent for existence and stability.

Fixed point theorems are effectively applied.

Examples demonstrate applicability to feedback systems.

Abstract

We establish several delay-independent criteria for the existence and stability of positive periodic solutions of n-dimensional nonautonomous functional differential equation by several fixed point theorems. Examples from positive and negative growth feedback systems demonstrate the results.