Chinese Quarterly Journal of Mathematics ›› 2005, Vol. 20 ›› Issue (3): 247-257.

Previous Articles     Next Articles

The Existence of Solutions of Three-point Boundary Value Problems for Second Order Impulsive Differential Equation

  

  1. Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, China; Department of Mathematics, Kaifeng University, Kaifeng 475001, China
  • Received:2004-12-27 Online:2005-09-30 Published:2024-01-12
  • About author:CAl Guo-lan(1969),female,native of Shouyang,Shanxi,a Ph.D.of Beijing Institute of Tech- nology,engages in differential equation.
  • Supported by:
     Supported by the National Natural Science Foundation of China(10371006);

Abstract: We study the existence of solutions to the second order three-point boundary value problem: where 0 <η< 1, α∈R, and f : [0, 1]×R×R→R, Ii: R×R→R, J: R×R→R(i=1,2,…k) are continuous. Our results is new and different from previous results. In particular, we obtain the Green function of the problem, which makes the problem simpler.

Key words: impulsive , differential , equation;boundary value problem;fixed points;cone

CLC Number: