二阶非线性具阻尼项微分方程的振动性质

Oscillation Theorems for Second-Order Nonlinear Differential Equations with Damping

通过利用积分平均技巧,得到了判定二阶非线性具阻尼项微分方程振动的一些准则,[α(t)|x(′t)|α-1x(′t)]′+p(t)k(t,x(t),x(′t))x(′t)+q(t)|x(t)|α-1x(t)=0,这些结果改进和推广了一些已知结果.

By using averaging integral techniques, we obtain some criterias for the oscillation of second-order nonlinear differential equations with damping,[α（t）｜x＇（t）｜^α-1x＇（t）]＇＋p（t）k（t,x（t）,x＇（t））x＇（t）＋q（t）｜x（t）｜^α-1x（t）=0. This results improve and extends some known results.