| 一类三阶微分方程解的一致有界性 |
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| 引用本文： | 郭怡萍.一类三阶微分方程解的一致有界性[J].泰山学院学报,2014(6):27-30. |
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| 作者姓名： | 郭怡萍 |
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| 作者单位： | 山东科技大学数学与系统科学学院,山东青岛266590 |
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| 摘 要： | 本文研究了一类三阶微分方程解的一致有界性,运用构造非线性系统的李雅普诺夫函数的方法,得到了解的一致有界性的充分条件.
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| 关 键 词： | 非线性 微分方程 一致有界性 李雅普诺夫函数 |
Uniform Boundness of Solutions of One Class of Third-Order Differential Equations |
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| Institution: | GUO Yi - ping ( School of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, 266590, China) |
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| Abstract: | In this paper, we discuss the uniform boundness of solutions of one class of third - order differ- ential equations and obtain sufficient conditions of the uniform boundness of solutions by means of the method of constructing Liapunov functions of nonlinear systems. |
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| Keywords: | nonlinear differential equation uniform boundness Liapunov function |
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