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Multiple positive solutions for functional dynamic equations on time scales

โœ Scribed by Da-Bin Wang; Jian-Ping Sun; Wen Guan

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
525 KB
Volume
59
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

In this paper, we study the following functional dynamic equation on time scales:

where ฮฆ : R โ†’ R is an increasing homeomorphism and a positive homomorphism and ฮฆ(0) = 0. By using the well-known Leggett-Williams fixed point theorem, existence criteria for multiple positive solutions are established. An example is also given to illustrate the main results.

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