二阶非线性中立型微分方程的振动准则

Oscillation Criteria of Second-Order Nonlinear Neutral Differential Equations

文章主要研究了如下方程的振动性(r(t)|(x(t)+p(t)x(τ(t)))′|α-1(x(t)+p(t)x(τ(t)))′)′+q0(t)|x(τ0(t))|α-1x(τ0(t))+∑ni=1qi(t)|x(τi(t))|βi-1x(τi(t))=e(t),t≥T.其结果推广和改进了已有结论.

The objective of this work is to study oscillatory of the second-order nonlinear forced delay differential equations with mixed nonlinearities as follows （r（t）｜（x（t）＋p（t）x（τ（t）））′｜α-1（x（t）＋p（t）x（τ（t）））′）′＋ q0（t）｜x（τ0（t））｜α-1x（τ0（t））＋∑ni=1qi（t）｜x（τi（t））｜βi-1x（τi（t））=e（t）,t≥T. The results obtained generally improve and complement earlier ones.