| 带导数项的半正Right Focal边值问题单调正解的存在性 |
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| 引用本文： | 郝新安,刘立山,吴永洪.带导数项的半正Right Focal边值问题单调正解的存在性[J].数学学报,2012(1):149-160. |
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| 作者姓名： | 郝新安 刘立山 吴永洪 |
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| 作者单位： | 曲阜师范大学数学科学学院;澳大利亚Curtin科技大学数学和统计系 |
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| 基金项目： | 国家自然科学基金资助项目(11071141);山东省自然科学基金资助项目(Y2008A24,ZR2011AQ008);山东省高等学校科技计划项目(J11LA06);曲阜师范大学校青年基金资助项目(XJ201017) |
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| 摘 要： | 研究下列半正Right F0cal边值问题单调正解的存在性其中λ>0是一个参数,n≥3,1
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| 关 键 词： | 单调正解 半正 Right Focal边值问题 |
Existence of Monotone Positive Solutions for Semipositone Right Focal Boundary Value Problems with Dependence on the Derivatives |
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| Xin An HAO Li Shan LIU School of Mathematical Sciences,Qufu Normal University,Qufu,P.R.China Yong Hong WU.Existence of Monotone Positive Solutions for Semipositone Right Focal Boundary Value Problems with Dependence on the Derivatives[J].Acta Mathematica Sinica,2012(1):149-160. |
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| Authors: | Xin An HAO Li Shan LIU School of Mathematical Sciences Qufu Normal University Qufu PRChina Yong Hong WU |
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| Institution: | Department of Mathematics and Statistics,Curtin University of Technology, Perth WA 6845,Australia |
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| Abstract: | We study the existence of monotone positive solutions for the semipositone right focal boundary value problems whereλ> 0 is a parameter,n≥3,1 < k≤n-1 is fixed,f may change sign for 0 < t < 1 and we allow f is both semipositone and lower unbounded.Without making any monotone type assumption,the existence results of at least one and two monotone positive solutions are obtained by means of the fixed point theorems in cones. |
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| Keywords: | monotone positive solution semipositone right focal boundary value problem |
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