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Existence and uniqueness results for nonlinear first-order three-point boundary value problems on time scales

โœ Scribed by Yu Tian; Weigao Ge

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
289 KB
Volume
69
Category
Article
ISSN
0362-546X

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โœฆ Synopsis

In this paper, we investigate the following nonlinear first-order three-point boundary value problem on time scale T:

By using several well-known fixed point theorems, the existence of positive solutions is obtained. Besides, the uniqueness results are obtained by imposing growth restrictions on f . In particular, Green's function for the above boundary value problem is established.

๐Ÿ“œ SIMILAR VOLUMES

Multiple positive solutions for nonlinea
Multiple positive solutions for nonlinear three-point boundary value problems on time scales
โœ ฤฐsmail Yaslan ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 236 KB

In this paper, we consider the nonlinear second-order three-point boundary value problem where T is a time scale, 0 โ‰ค t 1 < t 2 < t 3 , ฮฑ > 0 and ฮฒ โ‰ฅ 0 are given constants. By using fixed-point theorems in cones, some new results are obtained for the existence of at least one,two and three positive