Asymptotically almost periodic solutions of abstract retarded functional differential equations of first order
✍ Scribed by Hernán R. Henríquez
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 778 KB
- Volume
- 10
- Category
- Article
- ISSN
- 1468-1218
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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
The paper is concerned with the functional differential equation where λ > 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 λ such that the equation has at least three nonnegative periodi