Journal of Northeastern University(Natural Science)

Journal of Northeastern University ›› 2008, Vol. 29 ›› Issue (3): 433-436.DOI: -

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Existence of positive solution of three-point boundary value problems for second-order impulsive differential equation in banach space

Sun, Tao (1); Yang, Jing-Yu (1); Duan, Xiao-Dong (2)   

  1. (1) School of Sciences, Northeastern University, Shenyang 110004, China; (2) School of Computer, Dalian Nationalities University, Dalian 116600, China
  • Received:2013-06-22 Revised:2013-06-22 Online:2008-03-15 Published:2013-06-22
  • Contact: Sun, T.
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Abstract: There were many methods were used in other papers to discuss the existence of solutions, positive solutions and multiple positive solutions of boundary value problem for nonlinear impulsive differential equation, such as the method of upper and lower solution, fixed point index theory. The fixed point theorem of cone is used to study the existence of multiple positive solutions to three-point boundary value problem as a case in particular to the nonlinear impulsive equation, i.e., η Ε (tm, 1] in Banach space. And an example is given to show the application of main result.

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