Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4632772 | Applied Mathematics and Computation | 2009 | 4 Pages |
Abstract
In this paper, we study oscillation of second-order functional differential equations with mixed nonlinearities(p(t)xâ²(t))â²+q(t)x(t-Ï)+âi=1nqi(t)|x(t-Ï)|αisgnx(t-Ï)=e(t),where Ï⩾0, p(t)âC1[0,â), q(t),qi(t),e(t)âC[0,â), p(t)>0, α1>â¯>αm>1>αm+1>â¯>αn>0(n>m⩾1). Without assuming that q(t), qi(t) and e(t) are nonnegative, the results given in [Y.G. Sun, F.W. Meng, Interval criteria for oscillation of second-order differential equations with mixed nonlinearities, Appl. Math. Comput. 198 (2008) 375-381] have been extended to the aforementioned functional differential equation.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Chenshun Li, Shuming Chen,