Journal of Applied Mathematics and Stochastic Analysis 
Volume 5 (1992), Issue 3, Pages 221-226
doi:10.1155/S1048953392000182

Existence of solution for a mixed neutral system

K. Balachandran1 and A. Anguraj2

 1Bharathiar University, Department of Mathematics, Coimbatore 641 046, Tamil Nadu, India
2Gobi Arts College, Department of Mathematics, Gobichettipalayam 638 453, Tamil Nadu, India
Received 1 May 1991; Revised 1 September 1991

Abstract

We prove the existence of unique solution of the mixed neutral system x′(t)=f(t,x)+∑j=1mAj(t,x)x′(t+pj)+g(t,x,x′(t+h))x(0)=x0 and also prove the continuous dependence of the solution.