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Periodic solutions of first order functional differential equations

✍ Scribed by John R. Graef; Lingju Kong

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
215 KB
Volume
24
Category
Article
ISSN
0893-9659

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✦ Synopsis

We study the existence of T -periodic solutions of some first order functional differential equations. Several existence criteria are established for our problems; in particular, we obtain conditions for the existence of multiple (even infinitely many) T -periodic solutions of one of the problems. Examples are also included to illustrate our results.

πŸ“œ SIMILAR VOLUMES

Periodic solutions of first order functi
Periodic solutions of first order functional differential equations with periodic deviations
✍ Dingyong Bai; Yuantong Xu πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 183 KB

The paper is concerned with the functional differential equation where Ξ» > 0, a(t), b(t), h 1 (t) and h 2 (t) are periodic functions. Applying Leggett-Williams fixed point theorem to the equation, we show the explicit open intervals of Ξ» such that the equation has at least three nonnegative periodi