Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4635640 | Applied Mathematics and Computation | 2007 | 9 Pages |
Abstract
Sufficient conditions are obtained for the existence and global attractivity of a unique positive periodic solution x˜(t) of equation(∗)x′(t)=-a(t)x(t)+b(t)1+xn(t-τ(t)),t>0,where n > 1, a and b are continuous positive periodic function. Also, some sufficient conditions are established for oscillation of all positive solutions of (∗) about x˜(t). For the proof of existence and uniqueness of x˜(t), the method used here is better than contraction mapping principle.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Xiao Wang, Zhixiang Li,