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Periodic solutions of first order functional differential equations with periodic deviations

✍ Scribed by Dingyong Bai; Yuantong Xu

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
183 KB
Volume
53
Category
Article
ISSN
0898-1221

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✦ Synopsis

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 periodic solutions.

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Periodic solutions of first order functi
Periodic solutions of first order functional differential equations
✍ John R. Graef; Lingju Kong πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 215 KB

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. E