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Existence of maximal and minimal periodic solutions for first-order functional differential equations

โœ Scribed by Shugui Kang; Bao Shi; Genqiang Wang

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
304 KB
Volume
23
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

First-order

๐Ÿ“œ SIMILAR VOLUMES

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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

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The paper is concerned with the functional differential equation where ฮป > 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 ฮป such that the equation has at least three nonnegative periodi