三阶微分方程边值问题的非平凡解
The Existence of Nontrivial Solutions for Boundary Value Problem of Third-order Differential Equations
摘要
利用Leray-Schauder连续定理研究了一类三阶方程边值问题非平凡解的存在性.
In this paper, by using the Leray-Schauder continuation principle, the existence of nontrivial solutions for a class boundary value problem of third-order differential equation is studied.
出处
《曲阜师范大学学报（自然科学版）》
CAS
2008年第4期6-10,共5页
Journal of Qufu Normal University(Natural Science)
基金
国家自然科学基金资助项目(10771117)
高等学校博士点专项基金(20060446001)
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共引文献9
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1孔德斌,丁明霞,刘立山.四阶奇异微分方程边值问题三个正解的存在性[J].曲阜师范大学学报（自然科学版）,2008,34(2):1-5.
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2徐云滨,董媛媛.一类三阶半正边值问题正解的存在性[J].内江师范学院学报,2009,24(4):22-24.
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4王颖,孙钦福,李翠兰.四阶奇异微分方程边值问题的多重正解[J].吉首大学学报（自然科学版）,2009,30(3):11-16.
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6张立新.三阶边值问题的3个正解的存在性[J].四川师范大学学报（自然科学版）,2011,34(4):466-470. 被引量：13
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7赵微.奇异三阶微分方程m点边值问题的正解[J].四川师范大学学报（自然科学版）,2013,36(2):252-257. 被引量：5
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8张晓萍,孙永平.三阶三点边值问题正解的存在性[J].数学的实践与认识,2014,44(2):181-185. 被引量：2
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9李可,冯美强.一类四阶奇异非局部问题的三个正解[J].北京信息科技大学学报（自然科学版）,2015,30(1):66-69.
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