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一类非线性m点边值问题正解的存在性与多解性

Existence and Multiplicity of Positive Solutions for a Class of Nonlinear m-Point Boundary Value Problems
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摘要 考察了一类非线性常微分方程的m点边值问题,通过考察非线性项在有界集上的性质,运用Krasnosel'skii锥拉伸与锥压缩型不动点定理及格林函数的性质,获得了其正解的存在性与多解性,推广和改进了以前文献的相关结果. A class of nonlinear m-point boundary value problems was considered,and the existence and multiplicity of positive solutions was obtained by making use of the Krasnosel′ skii fixed point theorem of cone expansion-compressions type.
作者 韩伟 靳祯
机构地区 中北大学理学院
出处 《中北大学学报（自然科学版）》 CAS 北大核心 2012年第5期485-489,共5页 Journal of North University of China(Natural Science Edition)
基金 国家自然科学基金资助项目(10371066)
关键词 M点边值问题 正解 不动点定理 m-point boundary value problems positive solutions fixed point theorem
分类号 O175.8 [理学—基础数学]
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参考文献11

二级参考文献21

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  • 2Ma R. Y., Positive solutions for second-order three-point boundary-value problems, Applied Mathematics Letters, 2001, 14: 1-5.
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  • 10Zhang Yong，J Math Anal Appl，1994年，185卷，215页

共引文献153

中北大学学报（自然科学版）
2012年 第5期

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