| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4635430 | Applied Mathematics and Computation | 2007 | 9 Pages |
Abstract
In this paper, we concerned with the oscillation of the second-order superlinear differential equation of the form(a(t)yâ²(t))â²+p(t)yâ²(t)+q(t)f(y(t))=0.Several new oscillation criteria are established under quite general assumptions. Our methodology is somewhat different from that of previous authors [Ch.G. Philos, Oscillation theorems for linear differential equations of second order, Arch. Math. (Basel) 53 (1989) 482-492; Ch.G. Philos, Oscillation criteria for second order superlinear differential equations, Canad. J. Math. Anal. XLI (1989) 321-340; CH.G. Philos, I.K. Purnaras, Oscillations in superlinear differential equations of second order. J. Math. Anal. Appl. 165 (1992) 1-11; Y.H. Yu, Oscillation criteria for second order nonlinear differential equations with damping, Acta. Math. Appl. 16 (1993) 433-441 (in Chinese)]. Our results generalize and extend some earlier results of Yu (1993). Example is also given to illustrate the results.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Fang Lu, Fanwei Meng,