Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (4): 1097-1104.

• Articles • Previous Articles     Next Articles

Solvability of Nonlinear Impulsive Volterra Type Integral Equations in Banach Space

 LI Ye, LIU Li-Shan   

  1. School of Mathematical Sciences, Qufu Normal University, Shandong Qufu 273165
  • Received:2009-09-23 Revised:2010-08-30 Online:2011-08-25 Published:2011-08-25
  • Supported by:

    国家自然科学基金(10771117, 11071141)和山东省自然科学基金(Y2007A23)资助

Abstract:

In this paper, under weak conditions, by useing the MÖnch fixed point theorem and the method of estimate step by step, some existence theorems of solutions for the nonlinear impulsive Volterra type integral equations in Banach space are proved. The results 
obtained improve and extend the known results. Then the authors give some applications to initial value problems for nonlinear impulsive first-order differential equations of mixed type in Banach space.

Key words: Impulsive integral equations, Impulsive integro-differential equations, Measure of noncompactness, Fixed point

CLC Number: 

  • 34B15
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