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Existence of positive solutions of nonlinear -point BVP for an increasing homeomorphism and positive homomorphism on time scales

โœ Scribed by Wei Han; Zhen Jin; Shugui Kang

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
503 KB
Volume
233
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

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 positive solutions for the above boundary value problem, which includes and improve some related results in the relevant literature. 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

Positive solutions of nonlinear -point B
Positive solutions of nonlinear -point BVP for an increasing homeomorphism and homomorphism with sign changing nonlinearity on time scales
โœ Yanbin Sang; Hua Su; Fuyi Xu ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 589 KB

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

Positive solutions of nonlinear third-or
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

Positive solutions of nonlinear -point b
Positive solutions of nonlinear -point boundary value problems on time scales
โœ N. Aykut Hamal; Fulya Yoruk ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 650 KB

In this paper, by using fixed point theorems in a cone and the associated Green's function, we study the existence of at least two and three positive solutions to the m-point boundary value problem (BVP) on time scales,