| 非线性奇异微分方程无穷边值问题的正解 |
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| 引用本文： | 王颖. 非线性奇异微分方程无穷边值问题的正解[J]. 内江师范学院学报, 2009, 24(12): 16-19 |
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| 作者姓名： | 王颖 |
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| 作者单位： | 临沂师范学院理学院,山东,临沂,276005 |
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| 基金项目： | 国家自然科学基金，山东省自然科学基金 |
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| 摘 要： | 通过构造一个特殊的锥，利用范数型Krasnosel-skii不动点理论讨论了一类二阶非线性奇异微分方程无穷边值问题正解的存在性。
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| 关 键 词： | 无穷边值问题 不动点 正解 锥 |
Positive Solutions to Infinite Boundary Value Problems in Nonlinear Singular Differential Equation |
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| WANG Ying. Positive Solutions to Infinite Boundary Value Problems in Nonlinear Singular Differential Equation[J]. Journal of Neijiang Teachers College, 2009, 24(12): 16-19 |
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| Authors: | WANG Ying |
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| Affiliation: | WANG Ying (College of Science, Linyi Normal University, Linyi, Shandong 276005, China) |
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| Abstract: | By constructing a special cone, and the use of Krasnosel-skii fixpoint theory, the possibility of the existence of positive solutions to the infinite boundary value problems in second-order nonlinear singular differential equations is put under examination. The results significantly extend and improve many known results. |
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| Keywords: | infinite boundary value problem fixed point positive solutions cone |
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