| 一类泛函微分方程解的振荡性状 |
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| 引用本文： | 胡适耕. 一类泛函微分方程解的振荡性状[J]. 华中科技大学学报(自然科学版), 1990, 0(5) |
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| 作者姓名： | 胡适耕 |
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| 作者单位： | 华中理工大学数学系 |
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| 摘 要： | 本文考察形如x（t）=L（x_t）的线性泛函微分方程解的振荡性状,文中给出了使这类方程的所有解振荡的某些颇为一般的充分条件,这些条件基于矩阵的对数范数与稳定模数概念。
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| 关 键 词： | 泛函微分方程 振荡解 对数范数 |
The Oscillatory Behavior of Solutions of a Class of Functional Differential Equations |
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| Hu Shigeng. The Oscillatory Behavior of Solutions of a Class of Functional Differential Equations[J]. JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE, 1990, 0(5) |
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| Authors: | Hu Shigeng |
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| Abstract: | The oscillatory behavior of Solutions of linear functional differential equations of the form x(t) = L(xt) is studied. Some rather general sufficient conditions under which all solutions of these equations are oscillatory are given. These conditions are based on the conceptions about logarithmic norms and stability moduli of square matrices. |
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| Keywords: | Functional differential equations Oscillatory solution Logarithmic norm |
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