Existence of solutions of nth order impulsive integro-differential equations in Banach spaces

S. H. Hong, Hangzhou Dianzi University, Hangzhou, P. R. China
Z. Qiu, Hangzhou Dianzi University, Hangzhou, P. R. China

E. J. Qualitative Theory of Diff. Equ., No. 22. (2008), pp. 1-11.

Communicated by Z. Artstein. Received on 2008-04-09
Appeared on 2008-05-28

Abstract: In this paper, we prove the existence of solutions of initial value problems for nth order nonlinear impulsive integro-differential equations of mixed type on an infinite interval with an infinite number of impulsive times in Banach spaces. Our results are obtained by introducing a suitable measure of noncompactness.


You can download the full text of this paper in DVI, PostScript or PDF format.