| 一类微分不等式与半线性微分方程 |
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| 引用本文： | 张丹青,李维国.一类微分不等式与半线性微分方程[J].中国石油大学学报(自然科学版),2000,24(6). |
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| 作者姓名： | 张丹青 李维国 |
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| 作者单位： | 石油大学应用数学系,山东东营,257061 |
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| 摘 要： | 给出了一类二阶线性Gronwall不等式的初等证明 ,并应用到非线性Newton运动方程的初值和边值问题中 ,通过具体的例子说明了它在误差估计方面的作用
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| 关 键 词： | Gronwall不等式 微分方程 初值问题 周期解 |
ONE CLASS OF DIFFERENTIAL INEQUALITIES AND SEMILINEAR DIFFERENTIAL EQUATIONS |
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| ZHANG Dan-qing,LI Wei-guo.ONE CLASS OF DIFFERENTIAL INEQUALITIES AND SEMILINEAR DIFFERENTIAL EQUATIONS[J].Journal of China University of Petroleum,2000,24(6). |
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| Authors: | ZHANG Dan-qing LI Wei-guo |
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| Abstract: | One class of second order linear Gronwall inequalities is proved by the elementary methods. The inequalities are applied to the initial value problems and boundary value problems of nonlinear differential equations.The errors among the solutions to differential equations are analyzed with practice examples. The curves of solutions of differential equations and their graphs are given. |
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| Keywords: | Gronwall inequality differential equation initial value problem periodic soluti\ |
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