| 没有增长限制条件的四阶非线性方程两点边值问题解的存在性 |
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| 引用本文： | 杨作东,王元,柴新宽.没有增长限制条件的四阶非线性方程两点边值问题解的存在性[J].河南师范大学学报(自然科学版),1991(3). |
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| 作者姓名： | 杨作东 王元 柴新宽 |
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| 作者单位： | 河南师范大学数学系，河南师范大学数学系，河南师范大学数学系 |
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| 摘 要： | 在没有增长限制条件下,本文证明了四阶非线性方程两点边值问题解的存在性,推广了文献1]2]中的结果。
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| 关 键 词： | 拓扑度 L-紧算子 增长限制条件 |
EXISTENCE OF SOLUTIONS OF TWO-POINT BOUNDARY VALUE PROBLEMS FOR FOURTH-ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITHOUT GROWTH RESTRICTIONS |
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| Yang Zoudong,Wang Yuan,Chai Xinkuan.EXISTENCE OF SOLUTIONS OF TWO-POINT BOUNDARY VALUE PROBLEMS FOR FOURTH-ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITHOUT GROWTH RESTRICTIONS[J].Journal of Henan Normal University(Natural Science),1991(3). |
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| Authors: | Yang Zoudong Wang Yuan Chai Xinkuan |
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| Institution: | Yang Zoudong;Wang Yuan;Chai Xinkuan Department of Mathematics |
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| Abstract: | In this paper,without growth restrictions condition,we have proved the existence of solutions forfourth-order nonlinear equation of two-point boundary value problem and extended the results ofliterture1],2]. |
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| Keywords: | fouth-order nonlinear equation two-point boundary value problem the existence of the solution |
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