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一类时标上三阶微分方程的渐进性态
引用本文:魏会贤,董文雷,郭彦平. 一类时标上三阶微分方程的渐进性态[J]. 数学的实践与认识, 2017, 0(11): 307-312
作者姓名:魏会贤  董文雷  郭彦平
作者单位:1. 石家庄铁路职业技术学院基础部,河北石家庄,050041;2. 河北科技大学电气工程学院,河北石家庄,050000
摘    要:利用广义的Riccati变换,研究了某类非线性微分方程的渐进性态,得出了时标上方程振动或者趋于0的充分条件.

关 键 词:时标  三阶微分方程  Riccati变换  振动

Asymptotic Property of Solutions of a Third-order Nonlinear Differential Equation on Time Scales
WEI Hui-xian,DONG Wen-lei,GUO Yan-ping. Asymptotic Property of Solutions of a Third-order Nonlinear Differential Equation on Time Scales[J]. Mathematics in Practice and Theory, 2017, 0(11): 307-312
Authors:WEI Hui-xian  DONG Wen-lei  GUO Yan-ping
Abstract:In this paper,asymptotic property of a kind of nonlinear differential equation is studied by using the generalized Riccati transformation.The sufficient conditions for the oscillation or tends to zero of the equation are obtained.
Keywords:time scales  the third order differential equation  Riccati transformation  oscillation
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