| 一类二阶常微分方程组边值问题三个正解的存在性 |
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| 引用本文： | 李高尚,刘锡平,贾梅,李春岭,李芳菲. 一类二阶常微分方程组边值问题三个正解的存在性[J]. 上海理工大学学报(社会科学版), 2007, 29(1): 6-10 |
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| 作者姓名： | 李高尚 刘锡平 贾梅 李春岭 李芳菲 |
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| 作者单位： | 上海理工大学理学院 上海200093 |
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| 摘 要： | 利用Leggett-Williams不动点定理,研究了在Sturm-Liouville边界条件下的一类二阶常微分方程组多个正解的存在性,得到了至少三个正解存在的充分条件.
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| 关 键 词： | 边值问题 正解 不动点 锥 |
Existence of three positive solutions in boundary value problems of a class of second order ordinary differential systems |
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| LI Gao-shang,LIU Xi-ping,JIA Mei,LI Chun-ling,LI Fang-fei. Existence of three positive solutions in boundary value problems of a class of second order ordinary differential systems[J]. Journal of University of Shanghai For Science and Technilogy(Social Science), 2007, 29(1): 6-10 |
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| Authors: | LI Gao-shang LIU Xi-ping JIA Mei LI Chun-ling LI Fang-fei |
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| Affiliation: | College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China |
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| Abstract: | Boundary value problems of a class of second order ordinary differential systems are considered.Under Sturm-Liouville conditions,the existence of at least three positive solutions is proved by using Leggett-Williams fixed point theorem. |
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| Keywords: | boundary value problem positive solutions fixed point cone |
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