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Positive solutions of nonlinear -point BVP for an increasing homeomorphism and homomorphism with sign changing nonlinearity on time scales

โœ Scribed by Yanbin Sang; Hua Su; Fuyi Xu

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
589 KB
Volume
58
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

In this paper, several existence theorems of positive solutions are established for nonlinear m-point boundary value problem for the following dynamic equations on time scales

where ฯ† : R -โ†’ R is an increasing homeomorphism and homomorphism and ฯ†(0) = 0.

The nonlinear term f may change sign. As an application, an example to demonstrate our results is given.

๐Ÿ“œ SIMILAR VOLUMES

Positive solutions of nonlinear m-point
Positive solutions of nonlinear m-point BVP for an increasing homeomorphism and positive homomorphism with sign changing nonlinearity on time scales
โœ Wei Han; Zhen Jin ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 235 KB

## a b s t r a c t In this paper, by using fixed point theorems in cones, some new existence criteria for positive solutions of the nonlinear m-point boundary value problem with an increasing homeomorphism and positive homomorphism are presented. The nonlinear term f is allowed to change sign. In p

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Positive solutions of nonlinear third-order -point BVP for an increasing homeomorphism and homomorphism with sign-changing nonlinearity
โœ Yanbin Sang; Hua Su ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 648 KB

In this paper, several existence theorems of positive solutions are established for a nonlinear m-point boundary value problem for the following third-order differential equations where ฯ† : R -โ†’ R is an increasing homeomorphism and homomorphism and ฯ†(0) = 0. The nonlinear term f may change sign. A

Existence of positive solutions of nonli
Existence of positive solutions of nonlinear -point BVP for an increasing homeomorphism and positive homomorphism on time scales
โœ Wei Han; Zhen Jin; Shugui Kang ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 503 KB

In this paper, we will consider the following multipoint boundary value problem for the following second-order dynamic equations on time scales where ฯ† : R -โ†’ R is an increasing homeomorphism and positive homomorphism and ฯ†(0) = 0. By using fixed point theorems, we obtain an existence theorem of po