| 一类奇异二阶边值问题正解存在的充分必要条件 |
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| 引用本文： | 郝兆才,毛安民. 一类奇异二阶边值问题正解存在的充分必要条件[J]. 系统科学与数学, 2001, 21(1): 093-100 |
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| 作者姓名： | 郝兆才 毛安民 |
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| 作者单位： | 曲阜师范大学数学与计算机科学系, |
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| 基金项目： | 国家自然科学基金及山东省自然科学基金资助课题 |
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| 摘 要： | 本文研究了一类奇异二阶边值问题u′′+a(t)f(u)+b(t)g(u)=0,u(0)-u′(0)=0,u(1)+u′(1)=0的C
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| 关 键 词： | 奇异边值问题 锥 正解 充分必要条件. |
| 修稿时间： | 1999-04-19 |
A NECESSARV AND SUFFICIENT CONDITION FOR THE EXISTENCE OF POSITIVE SOLUTIONS TO A CLASS OF SINGULAR SECOND-ORDER BOUNDARV VALUE PROBLEMS |
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| Hao Zhaocai,MAO Anmin. A NECESSARV AND SUFFICIENT CONDITION FOR THE EXISTENCE OF POSITIVE SOLUTIONS TO A CLASS OF SINGULAR SECOND-ORDER BOUNDARV VALUE PROBLEMS[J]. Journal of Systems Science and Mathematical Sciences, 2001, 21(1): 093-100 |
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| Authors: | Hao Zhaocai MAO Anmin |
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| Affiliation: | Department of Mathematics, Qufu Normal University, Qufu 273165,P.R.China |
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| Abstract: | This paper studies the C1[0, 1] positive solutions of a class of second-order boundary value problems u" a(t)f(u) b(t)g(u) = 0, u(0) - A necessary and sufficient condition for the existence of C1 [0, 1] positive solutions is obtained under the condition that f and g are all superlinear (sublinear), or one is superlinear, the other is sublinear, which generalizes and includes some known results. |
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| Keywords: | Singular BVP cone positive solution necessary and sufficient condition. |
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