| 二阶拟线性中立型时滞微分方程的振动性 |
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| 引用本文： | 蒋建初. 二阶拟线性中立型时滞微分方程的振动性[J]. 数学杂志, 2002, 22(3): 277-280 |
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| 作者姓名： | 蒋建初 |
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| 作者单位： | 湖南娄底师范专科学校数学系,娄底,417000 |
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| 基金项目： | Supported by teh Science Foundation of Hunan Educational Committee. |
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| 摘 要： | 考虑二阶中立型时滞微分方程[a(t)|(x(t) p(t)x(t-τ)）′|^α-1(x(t) p(t)x(t-τ））′]′ f(t,x(t-σ））=0(E)其中α，τ，σ是非负常数，a(t),p(t)∈C([t0,∞），R），f(t,x)∈C(R,R)。建立了方程（E）的一些新的振动条件。
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| 关 键 词： | 拟线性 中立型时滞微分方程 广义黎卡提变换 振动 |
OSCILLATIONS OF SECOND ORDER QUASILINEAR NEUTRAL DELAY DIFFERENTIAL EQUATIONS |
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| JIANG Jian-chu. OSCILLATIONS OF SECOND ORDER QUASILINEAR NEUTRAL DELAY DIFFERENTIAL EQUATIONS[J]. Journal of Mathematics, 2002, 22(3): 277-280 |
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| Authors: | JIANG Jian-chu |
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| Abstract: | Consider the second order quasilinear neutral differential equation [a(t)|(x(t)+p(t)x(t-τ))＇|α-1(x(t)+p(t)x(t-τ))＇]＇+f(t,x(t-σ))=0 (E) Where α,τand σ are nonnegative constants, a(t), p(t)∈C([t0,∞),R) and f(t,x)∈C(R,R). Some new oscillation conditions for Eq. (E) are established. |
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| Keywords: | quasilinear neutral delay differential equation generalized Riccati transformation oscillation. |
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