带阻尼项的二阶拟线性非齐次微分方程的振动性判据

Oscillation Criteria for Second-order Quasi-linear Nonhomogeneous Differential Equation with Damping

主要研究了带强迫项的二阶拟线性微分方程(r(t)|y(′t)|α-1y(′t))′+p(t)|y(′t)|α-1y(′t)+q(t)|y(t)|β-1y(t)=e(t),t≥t0,的振动性问题,给出新的判据,推广和改进了已有的结果.

In this paper, some new oscillation criteria are established for second-order quasi-linear nonhomoge- neous differential equation with damping of the form （r（t）｜y（′t）｜α-1y（′t））′＋p（t）｜y（′t）｜α-1y（′t）＋q（t）｜y（t）｜β-1y（t）=e（t）,t≥t0 which improve and extend some rencent results.