| 一类含非线性边界条件的高阶微分方程解的存在性(英文) |
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| 引用本文： | 赵本生,林晓洁.一类含非线性边界条件的高阶微分方程解的存在性(英文)[J].应用数学与计算数学学报,2012,26(1):17-27. |
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| 作者姓名： | 赵本生 林晓洁 |
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| 作者单位： | 徐州师范大学数学科学学院,江苏徐州,221116 |
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| 基金项目： | Project supported by the National Natural Science Foundation of China(11101349,11071205);the Natural Science Foundation of Jiangsu Province(BK2011042);the Natural Science Foundation of Education Department of Jiangsu Province(11KJB110013);Jiangsu Province Postgraduate Training Project (CX10S-038Z) |
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| 摘 要： | 将上下解方法和Leray-Shauder度应用到一类含有非线性边界条件的n阶微分方程,得到了至少存在一个解的结果,并且改进和推广了文献中的某些结果.
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| 关 键 词： | 高阶边值问题 单边Nagumo型增长条件 上下解 Leray-Shauder度 |
Existence of solutions for higher-order differential equations with nonlinear boundary conditions |
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| ZHAO Ben-sheng,LIN Xiao-jie.Existence of solutions for higher-order differential equations with nonlinear boundary conditions[J].Communication on Applied Mathematics and Computation,2012,26(1):17-27. |
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| Authors: | ZHAO Ben-sheng LIN Xiao-jie |
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| Institution: | (School of Mathematical Sciences,Xuzhou Normal University,Xuzhou 221116, Jiangsu Province,China) |
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| Abstract: | By applying the method of the upper and lower solutions and the LerayShauder degree to the nth-order differential equations with nonlinear boundary conditions,a result that it has at least one solution is obtained;therefore,some previous results in the reference papers are improved and generalized. |
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| Keywords: | higher-order boundary value problem one-sided Nagumo-type growth condition upper and lower solutions Leray-Shauder degree |
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