二阶非线性带阻尼项中立型微分方程的振动准则

The Oscillation Criteria for Second-order Nonlinear Neutral Differential Equations with Damping

通过利用平均积分法和黎卡提变换,对一类二阶非线性带阻尼项中立型微分方程[r(t)(x(t)+a(t)x(t-τ))′]′+p(t)x′(t)+q(t)f(x(t-δ))=0,其中τ,δ是正常数,r,p,q,a∈C([t0,∞),R),f∈C(R,R)作进一步的讨论,所得的结果推广了已知的结论,应用更加广泛.

By using averaging integral techniques and generalized Riccati transformation, we obtain new oscillation criterions for every solution of the second-order nonlinear neutral differential equations with damping to be oscillatory. These results extend the known conclusion, which provides wider application.