| 二阶非线性微分方程组三点边值问题的多个正解 |
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| 引用本文： | 李海燕,曹怀火. 二阶非线性微分方程组三点边值问题的多个正解[J]. 大学数学, 2011, 27(6): 28-34 |
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| 作者姓名： | 李海燕 曹怀火 |
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| 作者单位： | 池州学院数学计算机科学系,安徽池州,247000 |
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| 摘 要： | 研究的是二阶非线性微分方程组的边值问题，在适合的条件下，应用抽象不动点理论以及线性算子的第一特征值的条件，得出了方程组的多个正解的存在性．
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| 关 键 词： | 三点边值问题 正解 多解 锥 不动点指数 |
Multiple Positive Solutions of Three-Point Boundary Value Problems for Systems of Nonlinear Second Order Differential Equations |
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| Abstract: | This paper is concerned with boundary value problems for systems of nonlinear second order differential equations. Under the suitable conditions, the existence and multiplicity of positive solutions are established by using abstract fixed-point theorems, and some conditions concerning the first eigenvalue with respect to relevant linear operator. |
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| Keywords: | three-point boundary value problems positive solutions multiplicity cone fixed point index |
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