| 半无穷区间二阶半正积分边值问题的多解性 |
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| 引用本文： | 孙艳梅.半无穷区间二阶半正积分边值问题的多解性[J].数学的实践与认识,2011,41(13). |
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| 作者姓名： | 孙艳梅 |
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| 作者单位： | 潍坊学院数学与信息科学学院,山东潍坊,261061 |
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| 基金项目： | 国家自然科学基金(10871116); 山东自然科学基金(ZR2010AM005) |
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| 摘 要： | 通过构造一个特殊锥,结合平移变换的方法得到了一类半无穷区间半正积分边值问题至少存在三个正解的充分条件,并举例阐述了主要结果.
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| 关 键 词： | 积分边值问题 半无穷区间 半正 凹泛函 |
The Multiple Positive Solutions for Second-Order Semi-Positone Boundary Value Problems Involving Integral Boundary Conditions on the Half-Line |
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| SUN Yan-mei.The Multiple Positive Solutions for Second-Order Semi-Positone Boundary Value Problems Involving Integral Boundary Conditions on the Half-Line[J].Mathematics in Practice and Theory,2011,41(13). |
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| Authors: | SUN Yan-mei |
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| Institution: | SUN Yan-mei (Deparment of Mathematics and Information Sciences,Weifang University,Weifang 261061,China) |
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| Abstract: | By means of constructing a special cone and varying in translation,we obtain a sufficient condition for at least three positive solutions to semi-positone boundary value problems involving integral boundary conditions on the half-line.Meanwhile,an example is worked out to demonstrate the main results. |
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| Keywords: | Integral boundary value problem half-line semi-positone concave functional |
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