| 二阶非齐泛函微分方程解的有界性 |
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| 引用本文： | 杨启贵.二阶非齐泛函微分方程解的有界性[J].数学的实践与认识,2000,30(2):226-231. |
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| 作者姓名： | 杨启贵 |
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| 作者单位： | 广西师大数学与计算机科学系,桂林,541004 |
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| 基金项目： | 广西自然科学基金项目!(桂科自 981 1 0 2 1 ) |
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| 摘 要： | 本文借助辅助函数和不等式得到了二阶非齐次泛函微分方程(r(t) x′(t) )′+p(t) x′(t) +q1(t) x(t) +q2 (t) x(t-τ) +g(t,x) =f (t)的一切解均有界的判定方法
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| 关 键 词： | 有界性 辅助函数 泛函微分方程 |
| 修稿时间： | 1997-11-21 |
Boundedness of Solutions of the Second Order Nonhomogeneous Functional Differential Equations |
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| YANG Qi-gui.Boundedness of Solutions of the Second Order Nonhomogeneous Functional Differential Equations[J].Mathematics in Practice and Theory,2000,30(2):226-231. |
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| Authors: | YANG Qi-gui |
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| Abstract: | This paper considers the following second order nonhomogeneous functional differential equation.(r(t)x′(t))′+p(t)x′(t)+q\-1(t)x(t)+q\-2(t)x(t-τ)+g(t,x)=f(t).With the aid of auxiliary functionals and inequalities, some sufficient conditions are obtained under which all solutions of above equation belong to L ∞\a,+∞).WTBZ] |
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| Keywords: | boundedness auxiliary function functional differential equation |
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