| 具变号非线性项二阶Neumann边值问题的正解 |
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| 引用本文： | 张鲁潮,刘锡平,贾梅,朱卫明,孙凤文.具变号非线性项二阶Neumann边值问题的正解[J].上海理工大学学报,2009,31(4). |
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| 作者姓名： | 张鲁潮 刘锡平 贾梅 朱卫明 孙凤文 |
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| 作者单位： | 上海理工大学,理学院,上海,200093 |
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| 基金项目： | 上海市教委科研基金资助项目 |
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| 摘 要： | 利用锥上不动点定理,研究了一类具有变号非线性项的二阶微分方程Neumann边值问题正解的存在性,证明了边值问题解的范数受控于一个线性函数,推广和改进了相关文献的结论.
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| 关 键 词： | 非线性项变号 Neumann边值问题 正解 |
Positive solutions of second order neumann boundary value problems with sign changing nonlinearities |
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| ZHANG Lu-chao,LIU Xi-ping,JIA Mei,ZHU Wei-ming,SUN Feng-wen.Positive solutions of second order neumann boundary value problems with sign changing nonlinearities[J].Journal of University of Shanghai For Science and Technology,2009,31(4). |
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| Authors: | ZHANG Lu-chao LIU Xi-ping JIA Mei ZHU Wei-ming SUN Feng-wen |
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| Institution: | College of Science;University of Shanghai for Science and Technology;Shanghai;200093;China |
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| Abstract: | The existence of positive solutions for a class of second order Neumann boundary value problems with sign changing nonlinearities was dealt with,by using the fixed point theorem on cones.It is proved that the solution'norm of the boundary value problems is dominated by a linear function.The results of the literature are developed and extended. |
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| Keywords: | sign changing nonlinearities Neumann boundary value problems positive solution |
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