| 一类非线性(n，p)边值问题解的存在性(英文) |
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| 引用本文： | 姚庆六.一类非线性(n，p)边值问题解的存在性(英文)[J].南京大学学报(自然科学版),2008,25(2):197-202. |
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| 作者姓名： | 姚庆六 |
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| 作者单位： | 南京财经大学应用数学系; |
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| 摘 要： | 通过使用Green函数和Leray—Schauder不动点定理对一类含有各阶导数的非线性(n,p)边值问题建立了一个解的局部存在定理.定理表明这类问题可以一个解,只要非线性项在某个有界集合上的"高度"是适当的.
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| 关 键 词： | 非线性常微分方程 边值问题 存在性 Green函数 |
EXISTENCE OF SOLUTIONS FOR A CLASS OF NONLINEAR (n,p) BOUNDARY VALUE PROBLEMS |
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| Yao Qingliu.EXISTENCE OF SOLUTIONS FOR A CLASS OF NONLINEAR (n,p) BOUNDARY VALUE PROBLEMS[J].Journal of Nanjing University: Nat Sci Ed,2008,25(2):197-202. |
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| Authors: | Yao Qingliu |
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| Institution: | Dept.of Applied Mathematics;Nanjing University of Finance and Economics;210003;Nanjing PRC |
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| Abstract: | A local existence theorem of solutions is established for a class of nonlinear (n,p) boundary value problems with all-order derivatives by using the Green function and the Leray-Schauder fixed point theorem.The theorem shows that the class of problems can have a solution provided the"height"of nonlinear term is appropriate on certain bounded set. |
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| Keywords: | nonlinear ordinary differential equation boundary value problem exis-tence Green function |
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