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

โœ Scribed by Wei Han; Zhen Jin

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
235 KB
Volume
15
Category
Article
ISSN
1007-5704

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โœฆ Synopsis

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 particular, our criteria generalize and improve some known results [20] and the obtained conditions are different from related literature [16,17,23]. As an application, one representative example to demonstrate our results are given.

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