一类二阶非线性中立型时滞微分方程的区间振动性判据

Interval Oscillation Criteria for Second-order Quasi-linear Neutral Delay Differential Equations

通过运用不等式和积分平均技巧,给出了一类形如[r(t)|(x(t)+p(t)x(t-τ))′|α-1(x(t)+p(t)x(t-τ))′]′+q(t)f(x[(σt)])=0的二阶半线性中立型时滞微分方程的区间振动性判据,改进推广了一些已知的判据.

By using an inequality and averaging technique, some new oscillation criteria are established for second-order quasi-linear neutral delay differential equation of the form [r（t）｜（x（t）＋p（t）x（t-τ））′｜^α-1（x（t）＋p（t）x（t-τ））′]′＋q（t）f（x[σ（t）]）=0 which improve and extend some recent results.