一类带有阻尼项的二阶半线性中立型微分方程解的振动准则

Oscillation Criteria for a Class of Second-order Quasilinear Neutral Differential Equations with Damped

本文研究了一类带有阻尼项的二阶半线性中立型微分方程(r(t)φ(x(t))|(x(t)+p(t)x(σ(t)))'|^(α-1)(x(t)+p(t)x(σ((t)))')'+φ(x(t),x′(t))+q_0(t)|x(T_0(t))|^(α-1)x(T_0(t))+sum from i=1 to n(q_i(t)|x(T_i(t))|^(β_i-1)x(T_i(t))=0)的解的性质,其中n是一个偶数,利用一些新的技巧,我们获得了方程解的振动的一些充分条件,并且给出例子阐述我们所得的结论.

A class of second-order quasilinear neutral differential equation with damped （r（t）Ф（x（t））｜（x（t）＋p（t）x（σ（t）））′｜^α-1（x（t）＋p（t）x（σ（t）））′）′＋φ（x（t）,x′（t））＋q0（t）x（τ0（t））｜^α-1x（τ0（t））＋∑i=1^n（t）x（τi（t））｜^βi-1x（τi（t））=0 be investigated in this paper, where n is an even number. Using a new method, we obtain some sufficient conditions for the oscillation of the above equation. Example be inserted to illustrate this results.