J4 ›› 2012, Vol. 47 ›› Issue (6): 16-19.

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Existence of positive solutions of the m-point boundary value problem with p-Laplace operator on time scales

FAN Jin-jun, ZHANG Xue-ling, LIU Yan-sheng   

  1. School of Mathematical Science, Shandong Normal University, Jinan 250014, Shandong, China
  • Received:2012-01-14 Online:2012-06-20 Published:2012-06-26

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Abstract:

The existence of positive solutions of the m-point boundary value problem with p-Laplace operator on time scales are considered. By using the LeggetWilliams fixed point theorem, the existence of three positive solutions is obtained. As an application, an example verified our results.

Key words:  time scale; boundary value problem; positive solutions; cone; fixed point

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