| 二阶超线性Sturm-Liouville积分边值问题的非平凡解 |
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| 引用本文： | 赵永贞.二阶超线性Sturm-Liouville积分边值问题的非平凡解[J].江南大学学报(自然科学版),2012,11(1):99-103. |
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| 作者姓名： | 赵永贞 |
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| 作者单位： | 山东理工职业学院基础部,山东济宁,272100 |
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| 摘 要： | 文中研究了一类二阶Sturm-Liouville边值问题.利用全连续域上的拓扑度理论及对应线性问题的第一特征值,得到了非平凡解的存在性结果.
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| 关 键 词： | 非平凡解 积分边值问题 拓扑度 不动点 特征值 |
Nontrivial Solutions of Superlinear Second-Order Sturm-Liouville Problem with Integral Boundary Conditions |
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| ZHAO Yong-zhen.Nontrivial Solutions of Superlinear Second-Order Sturm-Liouville Problem with Integral Boundary Conditions[J].Journal of Southern Yangtze University:Natural Science Edition,2012,11(1):99-103. |
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| Authors: | ZHAO Yong-zhen |
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| Institution: | ZHAO Yong-zhen(Department of Fundamental Courses,Shandong Career Development College,Jining 272100,China) |
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| Abstract: | This paper studies a class of second order Sturm-Liouville boundary value problem.The existence results of nontrivial solutions are established under some conditions concerning the first eigenvalue corresponding to the relevant linear problem by means of the topological degree a completely continuous field. |
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| Keywords: | nontrivial solutions integral boundary problem topological degree fixed field eigenvalue |
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