Periodic Duffing delay equations with state dependent impulses

Existence of Periodic Solutions for the Duffing Equation with Impulses

Stability of Periodic Solutions of State-Dependent Delay-Differential Equations

We consider a class of autonomous delay-differential equations

Slowly Oscillating Periodic Solutions of Autonomous State-dependent Delay Equations

IT HAS BEEN more than a dozen years since the peak of activity on the question of the existence of periodic, slowly oscillating, solutions of autonomous delay differential equations. Following the early work of Jones [l], Wright [2] and Grafton [3], the work of Nussbaum [4, 51 is to be specially noted for providing several new fixed point results and a global bifurcation theorem which are parti...

Periodic Solutions in Periodic State-Dependent Delay Equations and Population Models

Sufficient and realistic conditions are obtained for the existence of positive periodic solutions in periodic equations with state-dependent delay. The method involves the application of coincidence degree theorem and estimations of uniform upper bounds on solutions. Applications of these results to some population models are presented. These application results indicate that seasonal effects o...

Finding periodic orbits in state-dependent delay differential equations as roots of algebraic equations

In this paper we prove that periodic boundary-value problems (BVPs) for delay differential equations are locally equivalent to finite-dimensional algebraic systems of equations. We rely only on regularity assumptions that follow those of the review by Hartung et al. (2006). Thus, the equivalence result can be applied to differential equations with state-dependent delays (SD-DDEs), transferring ...