n阶常系数线性时滞微分方程无条件稳定的代数判据 |
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引用本文: | 黃文璋. n阶常系数线性时滞微分方程无条件稳定的代数判据[J]. 安徽大学学报(自然科学版), 1983, 0(1) |
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作者姓名: | 黃文璋 |
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摘 要: | 本文给出了关于方程 (t)+sum from k-1 to n a_K (t)+sum from k-1 to n b_K X(t-τ)=0 对一切时滞τ≥0零解都是渐近稳定的一些等价的定理以及充分必要的代数判定准则。
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Algebraic Criteria of Stability for All Values of the Delays of N Qrder Delay Differential Equations with Constant Coefficients |
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Abstract: | In this paper, we gave some equivalent theorems and algebraic Criteria which will be necessary and sufficient to ensure that the zero sulitions of equations (t) + sum from to n a_k (t) +sum from k-1 to n b_K (t -τ) = 0 are sfable for any delay τ≥0. |
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