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Positive solutions of nonlinear third-order -point BVP for an increasing homeomorphism and homomorphism with sign-changing nonlinearity

✍ Scribed by Yanbin Sang; Hua Su

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 648 KB
Volume: 225
Category: Article
ISSN: 0377-0427
DOI: 10.1016/j.cam.2008.07.039

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✦ Synopsis

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 φ : R -→ R is an increasing homeomorphism and homomorphism and φ(0) = 0.

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

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