| 高阶中立型方程的振动性和非振动性 |
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| 引用本文： | 李光华. 高阶中立型方程的振动性和非振动性[J]. 怀化学院学报, 1992, 0(5) |
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| 作者姓名： | 李光华 |
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| 作者单位： | 怀化师专数学系 |
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| 摘 要： | 本文讨论n阶中立型微分方程:d~n/(dt)~n[LX(t)]=q(t)x[T(t)] t≥t_0 (1)其中n是偶数,Lx(t):=X(t)-CX(t-τ)。我们得到了方程(1)振动的充分条件和非振解的存在性判据。
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| 关 键 词： | 中立型方程 振动性 非振动性 |
Oscillatory and Nonoscillatory Behavior of Higher Order Neutral Equations |
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| Li Guang hua. Oscillatory and Nonoscillatory Behavior of Higher Order Neutral Equations[J]. Journal of Huaihua University, 1992, 0(5) |
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| Authors: | Li Guang hua |
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| Affiliation: | Department of Mathematics |
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| Abstract: | In this paper consider the norder n eutral differential equations:dn/dtn〔LX(t)〕=q(t)x(T(t)) t≥t0 (1)where n is even.Lx(t): = x(t)-cx(t-τ).We obtain sufficient conditions for all solutions of Equation(1) to oscillate and for Equation (1) to have a nonoscillatory solution. |
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| Keywords: | Neutral equation oscillation Nonoscillation |
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