J4 ›› 2013, Vol. 51 ›› Issue (03): 349-356.

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Nonlocal Singular Boundary Value Problems forImpulsive Differential Equations

MIAO Chunmei1,2, GE Weigao3   

  1. 1. College of Science, Changchun University, Changchun 130022, China;2. College of Mathematics, Jilin University, Changchun 130012, China;3. School of Mathematics, Beijing Institute of Technology, Beijing 100081, China
  • Received:2012-08-29 Online:2013-05-26 Published:2013-05-17
  • Contact: GE Weigao E-mail:gew@bit.edu.cn

Abstract:

The authors studied the impulsive differential equation singular boundary value problem with integral boundary condition. First, the LerySchauder degree homotopy invariance was used to prove the existence of solutions principle for regular problems, then the existence of positive solutions was proved by means of this existence of solutions principle and the idea of approximation.

Key words: impulsive differential equation, singular boundary value problem, positive solution, LerySchauder degree

CLC Number: 

  • O175.8