Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4643497 | Journal of Computational and Applied Mathematics | 2006 | 16 Pages |
Abstract
Based on the situation that all the recent research about state-dependent impulsive differential equations is focused on systems which have explicit solutions, this paper try to consider those systems with state-dependent impulsion which have not explicit solutions. We get an existence theorem of periodic solution of order one for a general planar autonomous impulsive system, and, by applying it to a special state-dependent impulsive differential equations we get the concrete conditions of existence of one-order periodic solution of that special system.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Guangzhao Zeng, Lansun Chen, Lihua Sun,