摘要
讨论了二阶非线性中立型微分方程{r(t)[x(t)]z'(t)}'+q(t)g[x(t),x'(t)]+k(t)f[x(σ(t))]=0t≥t0{r(t)[x(t)]z'(t)}'+q(t)f{x[δ(t)]}g[t,x(t),x'(t)]=0t≥t0的振动性,其中:z(t)=x(t)+p(t)x(τ(t)),得到了方程振动的充分条件,并举例说明了定理的应用,推广了文献[2]和[3]的相应结果。
The paper Discuses the second-order nonlinear neutral differential equation vibratility {r(t) [x(t) ]z'(t) }' + q(t) g[x(t),x'(t) ]+ k(t) f[x(σ(t)) ]= 0 t≥t0 {r(t),x'[x(t) ]z'(t) }' + q(t) f{x[σ(t) ]}g[t,x(t),x'(t) ]= 0 ≥t0 and z(t) = x(t) + p(t) x(τ(t)),Obtained the equation vibration sufficient condition.It illustrates the application of theorem and promots literature [2]and [3]corresponding result.
出处
《榆林学院学报》
2010年第6期11-14,共4页
Journal of Yulin University