Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4633680 | Applied Mathematics and Computation | 2009 | 5 Pages |
Abstract
In this paper, we study the following second-order delay differential equation with mixed nonlinearities(r(t)|uâ²(t)|α-1uâ²(t))â²+q0(t)|u[Ï0(t)]|α-1u[Ï0(t)]+q1(t)|u[Ï1(t)]|β-1u[Ï1(t)]+q2(t)|u[Ï2(t)]|γ-1u[Ï2(t)]=0,where γ>α>β>0. Oscillation criteria for the equation are established which generalize the results by Džurina and Stavroulakis [J.D. Džurina, I.P. Stavroulakis, Oscillation criteria for second-order delay differential equations, Appl. Math. Comput. 140 (2003) 44-453] and by Sun and Meng [Y.G. Sun, F.W. Meng, Note on the paper of Džurina and Stavroulakis, Appl. Math. Comput. 174 (2006) 1634-1641].
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yuan Gong Sun, Fan Wei Meng,