Journal of East China Normal University(Natural Sc ›› 2012, Vol. 2012 ›› Issue (5): 101-108.

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Positive solutions of the semipositone three-point boundary value problem on time scales

WANG Ying   

  1. Department of Mathematics, Anhui Science and Technology University, Fengyang Anhui 233100, China
  • Received:2012-02-01 Revised:2012-05-01 Online:2012-09-25 Published:2012-09-29

Abstract: The existence of positive solutions for semipositone three-point boundary value problem on time scales was discussed, by using the Leggett-Williams fixed point theorem; the existence of at least two positive solutions was obtained. The results extend and improve some known results. As an application, an example was given to demonstrate the main result.

Key words: positive solution, semipositone, fixed point theorem, time scales

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