| 一类四阶两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.一类四阶两点边值问题解的存在性的上下解方法[J].茂名学院学报,2010,20(1):52-54,57. |
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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： | 讨论了四阶两点常微分方程边值问题{x^（4）（t）-λx^m（t）=f（t,x（t）,x″（t）） x（0）=x（1）=x″（0）=x″（1）=0’的解的存在性，其中f：0，1]×R→R连续，λ〉0为常数。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 两点 |
Upper and Lower Solution Method for Fourth-order Two-point Boundary Value Problems |
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| XI Jin-hua.Upper and Lower Solution Method for Fourth-order Two-point Boundary Value Problems[J].Journal of Maoming College,2010,20(1):52-54,57. |
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| Authors: | XI Jin-hua |
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| Institution: | 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 {x^（4）（t）-λx^m（t）=f（t,x（t）,x″（t）） x（0）=x（1）=x″（0）=x″（1）=0＇ where f：0,1]×R→Ris continuous and,λ〉0is comtant. 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 two-point |
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