| 一类含一阶导数项两点边值问题单调正解的存在性 |
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| 引用本文： | 相秀芬,王丽艳.一类含一阶导数项两点边值问题单调正解的存在性[J].数学的实践与认识,2009,39(15). |
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| 作者姓名： | 相秀芬 王丽艳 |
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| 作者单位： | 1. 承德石油高等专科学校数理系,河北,承德,067000
2. 河北旅游职业学院成教处,河北,承德,067000 |
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| 摘 要： | 研究一类含有一阶导数项的二阶微分方程在非齐次边界条件下的两点边值问题单调解的存在性.利用锥拉伸与锥压缩不动点定理,给出了边值问题单调递增正解和单调递减负解存在的充分条件,并且对解的凸性进行了分析.
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| 关 键 词： | 锥拉伸与锥压缩不动点定理 单调解 两点边值问题 Green函数 |
The Existence of Monotone Solutions to a Type of Two-Point Boundary Value Problem with one-order Derivative Term |
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| XIANG Xiu-fen,WANG Li-yan.The Existence of Monotone Solutions to a Type of Two-Point Boundary Value Problem with one-order Derivative Term[J].Mathematics in Practice and Theory,2009,39(15). |
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| Authors: | XIANG Xiu-fen WANG Li-yan |
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| Abstract: | Using the stretch and compression fixed point theorem of normic form in cone,the existence of monotone solutions to a type of nonlinear second-order two-point boundary value problem with one-order derivative term on condition of non-homogenous boundary are studied;The sufficient conditions for the existence of monotone increasing positive solutions and monotone decreasing negative solutions are obtained to the boundary value problems.And we also make a analysis for the convex of the solution. |
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| Keywords: | the stretch and compression fixed point theorem of normic form in cone monotone solutions two point boundary value problem Green′s function |
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