| 带积分边界条件的共振边值问题正解的存在性 |
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| 引用本文： | 江卫华,杨彩霞.带积分边界条件的共振边值问题正解的存在性[J].河北科技大学学报,2015,36(4):376-381. |
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| 作者姓名： | 江卫华 杨彩霞 |
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| 作者单位： | ;1.河北科技大学理学院 |
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| 基金项目： | 国家自然科学基金(11171088)；河北省自然科学基金 (A2013208108) |
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| 摘 要： | 基于O’Regan和Zima所研究的范数形式的Leggett-Williams定理,利用Banach空间中锥和Leray-Schauder度的性质,研究了带有积分边界条件的二阶共振边值问题正解的存在性。最后给出了例子验证所得结论。
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| 关 键 词： | 常微分方程数值解 边值问题 共振 正解 锥 Fredholm算子 |
| 收稿时间： | 2014/12/3 0:00:00 |
| 修稿时间： | 2015/5/5 0:00:00 |
Existence of positive solutions of boundary value problemwith integral boundary condition at resonance |
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| JIANG Weihua and YANG Caixia.Existence of positive solutions of boundary value problemwith integral boundary condition at resonance[J].Journal of Hebei University of Science and Technology,2015,36(4):376-381. |
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| Authors: | JIANG Weihua and YANG Caixia |
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| Abstract: | In view of the Leggett-Williams norm-type theorem due to O''Regan and Zima, by using the properties of the cone and Leray-Schauder degree in Banach space, the existence of positive solutions of the second order boundary value problem with integral boundary condition at resonance is studied. An example is given to illustrate the main results. |
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| Keywords: | numerical solution of ordinary differential equations boundary value problem resonance positive solution cone Fredholm operator |
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