| 一阶非线性中立型微分方程振动的充分必要条件 |
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| 引用本文： | 高英,张广.一阶非线性中立型微分方程振动的充分必要条件[J].山西师范大学学报,1996,10(2):16-19. |
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| 作者姓名： | 高英 张广 |
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| 作者单位： | 雁北师院数学系
(高英)，大同高等专科学校(张广) |
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| 摘 要： | 本文考虑非线性中立型微分方程d/dtx(t)-P(t)x(ι-τ)] Q(t),multiply from i=1 to (?)x(t-σ_1)]~αsignx(t-σ_1)=0当P(t)=1时,我们获得了如上方程一切有界解振动的充分必要条件,而不要求公设integral from n=(?) to ∞(Q(s)ds=∞)
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| 关 键 词： | 中立型微分方程 振动 “积分小”系数 |
Necessary and Sufficient Conditions for Oscillations of First-Order Nonlinear Neutral Differential Equations |
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| Gao Yin Zhang Guang.Necessary and Sufficient Conditions for Oscillations of First-Order Nonlinear Neutral Differential Equations[J].Journal of Shanxi Teachers University,1996,10(2):16-19. |
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| Authors: | Gao Yin Zhang Guang |
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| Institution: | Gao Yin Zhang Guang |
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| Abstract: | The purpose of this paper is to study the oscillation of all bounded solutions of the first order equations of form
We obtain an necessary and sufficient condition for oscillations of all bounded solutions of the above equations with P(l) l. |
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| Keywords: | Neutral differential equation Oscillation "Integrally small" coeffi-cient |
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