Initial Value Problems for Third Order Neutral Impulsive Integro-differential Equations with Advanced Argument
YE Guobing1, SHEN Jianhua2, LI Jianli3
1. College of Science, Hunan University of Technology, Zhuzhou, 412007;
2. College of Science, Hangzhou Normal University, Hangzhou, 310036;
3. College of Mathematics and Computer Science, Hunan Normal University, Changsha, 410081
This paper study initial value problems for third order impulsive neutral integro-differential equations with advanced argument. By using the fixed point theorem of Leray-Schaude and Banach respectively, we establish two existence criteria. An example is given to illustrate our main results.
YE Guobing,SHEN Jianhua,LI Jianli. Initial Value Problems for Third Order Neutral Impulsive Integro-differential Equations with Advanced Argument[J]. Acta Mathematicae Applicatae Sinica, 2012, (6): 1044-1057.
Fu X L, Yan B Q, Liu Y S. Theory of Impulsive Differential System. Beijing: Science Press, 2005