The Existence of Solutions of Initial Value Problems for Nonlinear Second Order Impulsive Integro-Differential Equations of Mixed Type in Banach Spaces
Received:June 20, 2006  Revised:January 17, 2007
Key Words: Banach spaces   impulsive integro-differential equations   initial value problems   measure of noncompactness   cone.  
Fund Project:the National Natural Science Foundation of China (No.10572057); the Natural Science Foundation of Jiangsu Province (No.BK2006186).
Author NameAffiliation
YU Wei Qin Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Jiangsu 210016, China 
CHEN Fang Qi Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Jiangsu 210016, China 
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Abstract:
      By the use of M\"{o}nch fixed point theorem and a new comparison result, the solutions of initial value problems for nonlinear second order impulsive integro-differential equations of mixed type in Banach spaces are investigated and the existence theorem is obtained.
Citation:
DOI:10.3770/j.issn:1000-341X.2008.03.007
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