J4 ›› 2010, Vol. 45 ›› Issue (8): 62-65.

• Articles • Previous Articles     Next Articles

Positive solutions for singular third order two-point boundary value problem in abstract space

CAI Jing-jing1, LIU Gui-long2   

  1. 1. Department of Mathematics, Tongji University, Shanghai 200092, China;
    2. College of Electrical Engineering, Xinjiang University, Urumqi 830047, Xinjiang, China
  • Received:2009-06-02 Online:2010-08-16 Published:2010-09-16

Abstract:

By constructing a special cone, the existence and nonexistence of positive solutions for singular third order two-point boundary value problem in Banach space are studied, and an example is given to illustrate the main results.

Key words: Banach space; positive solution; singularity; fixed-point theorem

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