| 具有时滞的非线性强迫微分方程振动的充分必要条件 |
| |
| 引用本文： | 孙元功.具有时滞的非线性强迫微分方程振动的充分必要条件[J].纯粹数学与应用数学,2002,18(2):170-173. |
| |
| 作者姓名： | 孙元功 |
| |
| 作者单位： | 曲阜师范大学数学系,山东,曲阜,273165 |
| |
| 摘 要： | 对于一类特殊的具有时滞的二阶次线性强迫微分方程x"(t) +a (t)|x(τ(t))|γsgnx(τ(t)) =g(t)(0＜τ＜1),给出了它的所有解振动的一个充要条件.
|
| 关 键 词： | 非线性强迫微分方程 振动 时滞项 充要条件 |
Necessary and sufficient condition for the oscillation of forced nonlinear differential equation with delayed |
| |
| Abstract.Necessary and sufficient condition for the oscillation of forced nonlinear differential equation with delayed[J].Pure and Applied Mathematics,2002,18(2):170-173. |
| |
| Authors: | Abstract |
| |
| Abstract: | For a special class of nonlinear second order forced differential equation with delayed argument x"(t) +a (t)|x(τ(t))|γsgnx(τ(t)) =g(t) in the sublinear ease (0＜τ＜1), a necessary and sufficient condition for the oscillation of all its solutions is given. |
| |
| Keywords: | forced nonlinear differential equation oscillation delayed argument |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
