Pingping Zhang, Xiaobing Gong
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 7, 2014.
Math Subject Classifications: 34A12, 39B12, 47H10.
Key Words: Existence; nonautonomous; iteration differential equation;
Schauder's fixed point theorem.
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Pingping Zhang Department of Mathematics and Information Science Binzhou University Shandong 256603, China email: zhangpingpingmath@163.com | |
Xiaobing Gong Department of Mathematics Neijiang Normal University Sichuan 641100, China email: xbgong@163.com |
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