J4 ›› 2010, Vol. 48 ›› Issue (05): 755-760.

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Existence of Twin Positive Solutions for Singular SecondOrder Differential Systems

QIAN Meihua1, CONG Fuzhong2,3, XU Xiaojie4   

  1. 1. Jilin |Provincial Institute of Education, Changchun 130020, China;2. Department of Foundation, Aviation University of Air Force, Changchun 130022, China;3. Institute of Mathematics, Jilin University, Changchun 130012, China|4. Department of Applied Mathematics,China University of Petroleum (East China), Dongying 257061, Shandong Province, China
  • Received:2009-12-03 Online:2010-09-26 Published:2010-09-21
  • Contact: QIAN Meihua E-mail:qianmeihua666@163.com

Abstract:

We investigated the existence of two positive solutions to singular boundary value problems using LeraySchauder alter
native theorem and other fixed point theorems in cones, obtained its sufficient conditions and gave an example to explain our results.

Key words: twopoint boundary problems, twin positive solutions; LeraySchauder alternative, fixed point theorems, differential systems

CLC Number: 

  • O175.08