| 三阶非线性中立时滞微分方程的可解性 |
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| 引用本文： | 王丽丽.三阶非线性中立时滞微分方程的可解性[J].通化师范学院学报,2013(12):10-12. |
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| 作者姓名： | 王丽丽 |
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| 作者单位： | 通化师范学院数学学院,吉林通化134002 |
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| 摘 要： | 文中讨论了一类三阶非线性中立时滞微分方程非振动解存在的若干充分条件,并应用Banach不动点定理证明了这类微分方程解的有界性及不可数性,包含并改进了相关文献所得到的结果.
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| 关 键 词： | 非线性微分方程 非振动解 有界性 不可数性 |
Solvability for a Third-order Nonlinear Neutral Delay Differential Equation |
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| Institution: | WANG Li - li (College of Mathematics, Tonghua Normal University, Tonghua, Jilin 134002, China) |
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| Abstract: | This paper deals with some sufficient conditions of the existence of the non - oscillatory solutions for a class of third - order nonlinear neutral delay differential equations. The uncountability and boundedness for the solutions of the differential equations is proved by using the Banach fixed points theorem, which includes and improves the results obtained from relevant literature. |
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| Keywords: | Nonlinear differential equations non - oscillatory solution boundedness uncountability |
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