| 一类四阶三点边值问题解的存在性的上下解方法 |
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| 引用本文： | 席进华. 一类四阶三点边值问题解的存在性的上下解方法[J]. 湖北师范学院学报(自然科学版), 2010, 30(2): 5-8 |
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| 作者姓名： | 席进华 |
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| 作者单位： | 甘肃民族师范学院,数学系,甘肃,合作,747000 |
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| 基金项目： | 甘肃民族师范学院校长基金 |
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| 摘 要： | 设 f:[0,1]×R2→R连续,λ＞0 为常数,讨论四阶三点常微分方程:x(4)(t)-λxm(t)=f(t,x(t),x″(t))x(0)=x(1)=0,x″(0)=0,x″(1)-ax″(η)=0 边值问题的解的存在性,利用上下解方法给出了解的存在性结果.
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| 关 键 词： | 边值问题 上下解 四阶 三点 |
Upper and lower solution method for fourth-order there-point boundary value problems |
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| XI Jin-hua. Upper and lower solution method for fourth-order there-point boundary value problems[J]. Journal of Hubei Normal University(Natural Science), 2010, 30(2): 5-8 |
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| Authors: | XI Jin-hua |
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| Affiliation: | XI Jin-hua (Department of Mathematics,Gansu Normal University for Nationalities,Hezuo 747000,China) |
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| Abstract: | This paper is concerned with the fourth-order ordinary differential equation where is continuous and is constant.Some new existence results are obtained by the upper and lower solution method and the monotone iterative technique. |
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| Keywords: | boundary value problem upper and lower solution fourth-order there-point |
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