| 一阶非线性泛函方程解的振动性(英文) |
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| 引用本文： | 孔庆凯.一阶非线性泛函方程解的振动性(英文)[J].中国海洋大学学报(自然科学版),1990(3). |
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| 作者姓名： | 孔庆凯 |
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| 作者单位： | 青岛海洋大学应用数学系 |
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| 基金项目： | Research supported by National Natural Scientific Fundation of China |
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| 摘 要： | 考虑两类带有分布型超前或滞后量的方程 (Ⅰ)x'(t)=a(t)x(t)+φ, (Ⅱ)x'(t)=a(t)x(t)-φ.其中β(t)>a(t),t+a(t)→∞(t→∞),f(x)和φ(u)是满足某些条件的非线性函数。 本文给出了方程(Ⅰ)和(Ⅱ)的所有解振动的若干充分性判定定理。作为应用,我们又讨论了如下方程的振动性,并给出了相应的判定准则。 (Ⅲ)x'(t)=a(t)x(t)+φsum from i=1 to n a_i(t)f(x(t+τ_i(t)))], (Ⅳ)x'(t)=a(t)x(t)-φsum from i=1 to n a_i(t)f(x(t+τ_i(t)))] 本文的结果是张炳根的若干结果的推广。
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| 关 键 词： | 泛函微分方程 分布型偏差变元 非线性 振动性 |
OSCILLATORY BEHAVIOR OF SOLUTIONS OF FIRST ORDER NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS |
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| Kong Qingkai.OSCILLATORY BEHAVIOR OF SOLUTIONS OF FIRST ORDER NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS[J].Periodical of Ocean University of China,1990(3). |
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| Authors: | Kong Qingkai |
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| Institution: | Department of Applied Mathematics |
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| Abstract: | This paper gives some oscillation results on two kinds of first-order nonlinear functional differential equations, which generalize the corresponding results by B.G.Zhang |
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| Keywords: | Oscillation functional differential equations distributive advanced or retarded argument |
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