| 带滞量微分方程解的表达式的一个推广 |
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| 引用本文： | 陈新一.带滞量微分方程解的表达式的一个推广[J].西北民族学院学报,2008,29(2). |
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| 作者姓名： | 陈新一 |
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| 作者单位： | 西北民族大学计算机科学与信息工程学院,甘肃兰州730030 |
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| 摘 要： | 利用复函数方法讨论了方程a_nx~(n)(t)+a_(n-1)x~(n-1)(t)+…+a_0x(t)+bx(t-τ)=(t~k+c_(k-1)t~(k-1)+…+c_1t+c_0)e~(αt)cosβt a_nx~(n)(t)+a_(n-1)x~(n-1)(t)+…+a_0x(t)+bx(t-τ)=(t~k+c_(k-1)t~(k-1)+…+c_1t+c_0)e~(αt)sinβt解的一些表达式,获得了更一般的结果,推广了最近文献中的有关结果
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| 关 键 词： | 解 表达式 滞量 微分方程 |
Generalizations of the Expressions of Solution of Some Differential Equations with Delay |
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| CHEN Xin-yi.Generalizations of the Expressions of Solution of Some Differential Equations with Delay[J].Journal of Northwest Minorities University(Natural Science ),2008,29(2). |
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| Authors: | CHEN Xin-yi |
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| Abstract: | By using the method of complex function, the expression of solution of some differential equations isdiscussed. a_nx~(n)(t)+a_(n-1)x~(n-1)(t)+…+a_0x(t)+bx(t-τ)=(t~k+c_(k-1)t~(k-1)+…+c_1t+C_0)e~(αt)cosβt a_nx~(n)(t)+a_(n-1)x~(n-1)(t)+…+a_0x(t)+bx(t-τ)=(t~k+c_(k-1)t~(k-1)+…+c_1t+C_0)e~(αt)sinβtAnd some general results are abstained, which are generalized previously known results in the literature. |
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| Keywords: | solution expression delay differential equation |
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