| 一类拟线性微分方程边值问题解的存在性 |
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| 引用本文： | 赵建清.一类拟线性微分方程边值问题解的存在性[J].咸阳师范专科学校学报,2013(6):18-20. |
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| 作者姓名： | 赵建清 |
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| 作者单位： | 连云港师范高等专科学校数学与信息工程学院,江苏连云港222000 |
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| 摘 要： | 研究了一类拟线性微分方程非线性边值问题的解的存在性,此类问题来自于研究p-拉普拉斯方程,一般化的反应扩散理论,非牛顿流体理论和多孔介质中的气体湍流等问题.利用上下解方法得到新结论,推广了已有结果.
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| 关 键 词： | 拟线性微分方程 非线性边值问题 上下解方法 |
Existence of Solutions for a Class Quasilinear Ordinary Differential Equations |
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| ZHAO Jian-qing.Existence of Solutions for a Class Quasilinear Ordinary Differential Equations[J].Journal of Xianyang Teachers College,2013(6):18-20. |
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| Authors: | ZHAO Jian-qing |
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| Institution: | ZHAO Jian-qing (School of Mathematics and Information Engineering, Lianyungang Teacher＇s College,Lianyungang 222000,Jiangsu,China) |
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| Abstract: | In this paper ,using the results of the existence of solutions for a class of the second or- der quasilinear integrodifferential equations with nonlinear boundary conditions, we are concerned with the fourth order quasilinear ordinary differential equations with the nonlinear boundary conditions, the corresponding results of the semilinear integrodifferential problems with nonlinear boundary conditions become general. |
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| Keywords: | quasilinear ordinary differentialequation nonlinear boundary conditions upper andlower solutions |
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