journal6 ›› 2007, Vol. 28 ›› Issue (2): 11-15.

• Mathematics • Previous Articles     Next Articles

Upper and Lower Solutions Method for First Order Impulsive Differential Equations with Integral Boundary Conditions


  1. (1.College of Mathematics and Computer Science,Jishou University,Jishou 416000,Hunan China;2.Department of Mathematics,Hunan Normal University,Changsha 410081,China)
  • Online:2007-03-25 Published:2012-06-18
  • About author:CHEN Guo-ping(1964-),male,was born in Shaoyang City,Hunan Province,associate professor of College of Mathematics and Computer Science,Ph. D of Hunan Normal University;research area is qualitaive theory of differential equations.
  • Supported by:

    The NNSF of China (10571050);Key Project of Hunan Province Education Department (03A023)

Abstract: This paper is concerned with the existence of extreme solutions of integral boundary conditions for a class of first order impulsive differential equations.In presence of a lower solution α and an upper solution β with the classical condition  α≤β.The sufficient conditions are obtained for existence of extreme solutions by using upper and lower solutions method coupled with monotone iterative technique.

Key words: impulsive differential equation, monotone iterative technique, integral boundary condition

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