Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774980 | Journal of Mathematical Analysis and Applications | 2017 | 21 Pages |
Abstract
In this paper we study a general n-dimensional mixed type differential equation with state dependence. Many known works give the existence of solutions with the so-called Return Condition. In this paper, without requiring the Return Condition, we prove a non-local existence of solutions by using a technique of compactification and the dependence of the maximum of functions on the size of their domains. We apply our result to differential equations with iterates.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yingying Zeng, Pingping Zhang, Tzon-Tzer Lu, Weinian Zhang,