Asymptotic dichotomy in a class of higher order nonlinear delay differential equations
Asymptotic dichotomy in a class of higher order nonlinear delay differential equations
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一类高阶非线性时滞微分方程的渐近二分法
DOI：
10.1186/s13660-018-1949-7
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发表时间：
2019-01-07
影响因子：
1.6
通讯作者：
Liang, Haihua
中科院分区：
文献类型：
--
作者：
Ye, Yunhua;Liang, Haihua
利用推广的Riccati变换和积分平均技巧，证明了高阶非线性时滞微分方程y（（n+2））（t）+ p（t）y（（n））（t（+ q（t）f（y（g（t）= 0的所有解在本文定理所列条件下收敛于零或振动.最后给出了几个例子来说明这些结果的应用。
Employing a generalized Riccati transformation and integral averaging technique, we show that all solutions of the higher order nonlinear delay differential equationy((n+2))(t) + p(t)y((n))(t( + q(t)f(y(g(t))) = 0will converge to zero or oscillate, under some conditions listed in the theorems of the present paper. Several examples are also given to illustrate the applications of these results.