Expansions in the delay of quasi-periodic solutions for state dependent delay equations

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...

Asymptotic Expansions for Regularized State-Dependent Neutral Delay Equations

Singularly perturbed delay differential equations arising from the regularization of state dependent neutral delay equations are considered. Much insight into the solution of the regularized problem and into its limit for ε→ 0+ is obtained by the study of asymptotic expansions. Due to discontinuities in the derivative of the solution of the neutral delay equation and the presence of different t...

Existence and uniqueness of solutions for neutral periodic integro-differential equations with infinite delay

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EXISTENCE OF PERIODIC SOLUTIONS IN TOTALLY NONLINEAR NEUTRAL DIFFERANCE EQUATIONS WITH VARIABLE DELAY