1College of Math. and Info. Sci., Hebei Normal University, Shijiazhuang, 050016, China.
2Inst. Appl. Math., Academic Sinica, Beijing 100080, China.
*E-mail: qll71125@163.com
**E-mail: Yu84845366@126.com
MSC 2000: 34c10, 34k11.
In this paper, we investigate the oscillation of second order nonlinear differential equation of the form where . There exists a function r ∈ C2(I, R) such that e(t)= r″(t) and r changes sign on [T, ∞) for any T ≥ t0, f ∈ C(I × R, R), f(t, y)sgny ≥ q(t)|y| or f(t, y)=q(t)f1(y). By using the generalized Riccati technique and averaging technique, we get some new oscillation criteria for it.
Nonlinear differential equation, Oscillation, Averaging technique, Forced Terms
