Acta mathematica scientia,Series A

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Solutions of Initial Value Problems for Second-order Nonlinear Impulsive Integro-differential Equations

Wang Wenxia;Zhang Lingling   

  1. Department of Mathematics, Taiyuan Teachers College, Taiyuan, 030012
  • Received:2005-10-31 Revised:2007-01-28 Online:2007-08-25 Published:2007-08-25
  • Contact: Wang Wenxia

Abstract:

In this paper, by using the monotone iterative technique, the existence
of maximal and minimal solutions of initial value problems for second-order impulsive differential equations depending on x' in Banach Space is discussed. In order to illustrate the obtained results, an example of infinite system for a scalar second-order impulsive integro-differential equation is given.

Key words: Impulsive integro-differential equation, Ordered Banach space, Cone

CLC Number: 

  • 45J05
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