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Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (7): 854-866.

• Articles • Previous Articles    

POSITIVE SOLUTIONS TO A SINGULAR SECOND ORDER THREE-POINT BOUNDARY VALUE PROBLEM

QU Wen-bo1, ZHANG Zhong-xin2, WU Jun-de3   

  1. 1. Department of Mathematics, Harbin Institute of Technology, Harbin 150001, P R China;
    2. Institute of Mathematics, Jilin University, Changchun 130012, P R China;
    3. Department of Applied Mathematics, Zhejiang University, Hangzhou 312000, P R China
  • Received:2001-06-05 Revised:2002-02-28 Online:2002-07-18 Published:2002-07-18
  • Supported by:
    the Educational Foundation of Jiangshu Province

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Abstract: A fixed point theorem is used to study a singular second order three-point boundary value problem. The problem is more general. Combining the method of constructing Green functions with operators defined piecewise, the existence result of positive solutions to a singular second order three-point boundary value problem is established. The nonlinearity can be allowed to change sign.

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