Electronic Journal of Differential Equations,
Vol. 2014 (2014), No. 07, pp. 1-10.

Title: Existence of solutions for iterative differential equations

Authors: Pingping Zhang (Binzhou Univ., Shandong, China)
         Xiaobing Gong (Neijiang Normal Univ., Sichuan, China)

Abstract:
 The presence of self-mapping increases the difficulty
 in proving the existence of solutions for general
 iterative differential equation. In this article we
 provide conditions for the existence of solutions for the initial
 value problem, in which the conditions are natural
 and easily verifiable. We generalize the relevant results
 and point out the mistake in some references.
 
Submitted August 21, 2013. Published January 07, 2014.
Math Subject Classifications: 34A12, 39B12, 47H10.
Key Words: Existence; nonautonomous; iteration differential equation;
           Schauder's fixed point theorem.