一类二阶强迫非线性微分方程的振动性

Oscillation for Certain Forced Second Order Nonlinear Differential Equations

利用广义变分原理和Riccati变换建立了带有阻尼项的二阶强迫非线性微分方程(r(t)Ψ(y(t))︱y′(t)︱α-1 y′(t))′+p(t)Ψ(y(t))︱y′(t)︱α-1 y′(t)+q(t)f(y(t))=e(t)的振动准则,并改进和推广了已有的研究成果.

In this paper,by using the generalized variational principle and Riccati technique,new oscil-lation criteria for second order nonlinear damped perturbed differential equation （r（t）Ψ（y（t））y′（t）α-1y′（t））′＋p（t）Ψ（y（t））y′（t）α-1y′（t）＋q（t）f（y（t））=e（t）are established, which improve and generalize the existing results.