| 一类中立型变系数方程振动的充分必要条件 |
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| 引用本文： | 张弘强 唐贤瑛. 一类中立型变系数方程振动的充分必要条件[J]. 湖南大学学报(自然科学版), 1995, 22(2): 11-16 |
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| 作者姓名： | 张弘强 唐贤瑛 |
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| 作者单位： | 长沙交通学院基础科学部 |
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| 摘 要： | 本文考虑一类一阶中立型变系数方程的振动性，得到了使得（１）振动的充分条件，以及使得（１）存在非振动解的充分条件，获得了保证（４）振动的充分必要条件，从而解决了文〔３〕中有关（７）之振动性的一个公开问题。
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| 关 键 词： | 中立型 振动性 渐近性 偏微分方程 |
Necessary and Sufficient Condition of the Oscillation for a Type of Neutral Equation with Variable Coefficients |
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| Zhang Hongqiang Tang Xianying. Necessary and Sufficient Condition of the Oscillation for a Type of Neutral Equation with Variable Coefficients[J]. Journal of Hunan University(Naturnal Science), 1995, 22(2): 11-16 |
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| Authors: | Zhang Hongqiang Tang Xianying |
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| Abstract: | In this paper we investigate the oscillation of a type of neutral equation with variable coefficients. Some sufficient condition of the oscillation and of the existence of non-oscillatory solutions for Eq.(1) are established. The necessary and sufficient condition of the oscillation for Eq.(4)is obtained. Therefore ,an open problem in[3]for the oscillation of Eq.(7)is solved completely. |
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| Keywords: | neutral type differential equations oscillation asymptotic behavior |
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