A Stable Rapidly Oscillating Periodic Solution for an Equation with State-Dependent Delay

Author:

Kennedy Benjamin

Publisher

Springer Science and Business Media LLC

Subject

Analysis

Reference17 articles.

1. Arino, O., Hadeler, K.P., Hbid, M.L.: Existence of periodic solutions for delay differential equations with state dependent delay. J. Differ. Equ. 144, 263–301 (1998)

2. Hartung, F., Krisztin, T., Walther, H.-O., Wu, J.: Functional differential equations with state-dependent delays: theory and applications. In: Cañada, A., Dràbek, P., Fonda, A. (eds.) Handbook of Differential Equations, Ordinary Differential Equations, vol. 3. Elsevier, Philadelphia (2006)

3. Ivanov, A.F., Losson, J.: Stable rapidly oscillating solutions in delay equations with negative feedback. Differ. Integr. Equ. 12, 811–832 (1999)

4. Kaplan, J.L., Yorke, J.A.: On the stability of a periodic solution of a differential delay equation. SIAM J. Math. Anal. 6, 268–282 (1975)

5. Kennedy, B.B.: Stability and instability for periodic solutions of delay equations with “steplike” feedback. In: Proceedings of the 9th Colloquium on the Qualitative Theory of Differential Equations. Electron. J. Qual. Theory Differ. Equ. 8, 1–66 (2012)

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