Oscillation Theorems for Second Order Damped Nonlinear Differential Equations  

作　　者：HEWan-sheng LIWan-tong 

机构地区：[1]DepartmentofMathematics,TianshuiNormalUniversity,Tianshui741001,China [2]DepartmentofMathematics,LanzhouUniversity,Lanzhou730000,China

出　　处：《Chinese Quarterly Journal of Mathematics》2005年第1期1-9,共9页数学季刊（英文版）

基　　金：Supported by the NNSF of China(10071080)

摘　　要：Several oscillation criteria are given for the second order nonlinear differential equation with damped term of the form [α(t)(y'(t))σ]' +p(t)(y'(t))σ+ q(t)f(y(t)) = 0, where α∈C(R, (0,∞)), p(t) and q(t) are allowed to change sign on [t0, ∞), and f∈C1 (R, R) such that xf(x) > 0 for x ≠0. Our results improve and extend some known oscillation criteria. Examples are inserted to illustrate our results.

关 键 词：OSCILLATION second order nonlinear differential equation DAMPING 

分 类 号：O321[理学—一般力学与力学基础] O175.29[理学—力学]