中立型微分方程组的振动比较 |
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引用本文: | 谢湘生.中立型微分方程组的振动比较[J].怀化学院学报,1991(2). |
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作者姓名: | 谢湘生 |
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作者单位: | 怀化师专数学系 |
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摘 要: | 在本文中,我们比较了中立型分方程组与非中立型微分方程组或中立型数量方程解的振动性,得到了中立型方程组振动的比较定理,并据这些结果,给出了中立型方程组振动的充分条件。
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关 键 词: | 中立型方程组 振动性 比较定理 |
Comparison Theorems for System of First Order Linear Neutral Differential Equations |
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Abstract: | Consider the system of first order linear neutral differential equations
and associated system of first order delay ddifferential equations
or scalor neutral differential equation
we prove that, under appropriate conditions, If the system (2) (or Eq (3)) has no positive bounded so-
lutions, then the system (1) cannot have a positive slution. |
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Keywords: | |
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