| 一阶非线性变时滞微分方程的振动性 |
| |
| 引用本文： | 张慧芬,李妍.一阶非线性变时滞微分方程的振动性[J].数学的实践与认识,2009,39(17). |
| |
| 作者姓名： | 张慧芬 李妍 |
| |
| 作者单位： | 1. 山西大学,数学科学学院,山西,太原,030006;大同大学,数学与计算机科学学院,山西,大同,037009
2. 山西大学,数学科学学院,山西,太原,030006 |
| |
| 基金项目： | 山西省自然科学基金，大同大学基金 |
| |
| 摘 要： | 考虑一阶非线性变时滞微分方程x(′t)=f(t,x(τ(t))),利用其线性近似方程x(′t)=D2f(t,0)x(τ(t))的振动性,给出了方程解振动的一个充分条件,所得结果推广了相关文献的结果.
|
| 关 键 词： | 时滞微分方程 弱递推函数 振动性 |
Linearized Oscillation of First Order Nonlinearity Variable Delay Differential Equation |
| |
| ZHANG Hui-fen,LI Yan.Linearized Oscillation of First Order Nonlinearity Variable Delay Differential Equation[J].Mathematics in Practice and Theory,2009,39(17). |
| |
| Authors: | ZHANG Hui-fen LI Yan |
| |
| Abstract: | Consider the nonlinear differential equation with variable delay x'(t) = f(t, x(τ(t))). By using the oscillation of its linearized equationx(t) = D_2f(t,0)x(τ(t)), a sufficient condition for oscillation of the equation is obtained, which generalized the corresponding result of Applied Mathematics Letters,2006,19,320-325]. |
| |
| Keywords: | delay differential equation weakly recurrent function oscillation |
| 本文献已被 万方数据 等数据库收录！ |
|
