Acta mathematica scientia,Series A ›› 2008, Vol. 28 ›› Issue (6): 1119-1127.

• Articles • Previous Articles     Next Articles

Initial Value Problems for the Systems of Second Order Integro-differential Equations in Banach Space

Song Guangxing|Wang Xiurong|Pai Xinying|Liang Shuxia   

  1. (Department of Mathematics, China University of Petroleum, Dongying 257061)
  • Received:2006-11-03 Revised:2008-05-10 Online:2008-12-25 Published:2008-12-25
  • Contact: Song Guangxing

Abstract:

In this paper, by use of new comparison result, the existence of solutions
of initial value problems for the systems of second order integro-differential equations in Bandch spaces is discussed. The results are new even in finite dimensional spaces.

Key words: System of integro-differential equation, Cone, Comparison result, Solution,
Banach space

CLC Number: 

  • 34A12
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