| 二阶非线性常微分方程组正解及多个正解的存在性 |
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| 引用本文： | 白定勇. 二阶非线性常微分方程组正解及多个正解的存在性[J]. 韶关学院学报, 2004, 25(3): 9-15 |
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| 作者姓名： | 白定勇 |
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| 作者单位： | 韶关学院,数学系,韶关,512005 |
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| 摘 要： | 讨论二阶非线性常微分方程组边值问题的正解及多个正解的存在性．利用锥上算子不动点指数的同伦不变性，建立了问题正解的存在性，突破了以往文献要求非线性项在零点或无穷远点超线性或次线性增长的限制．
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| 关 键 词： | 边值问题 正解 锥 不动点指数 |
| 文章编号： | 1007-5348(2004)03-0009-07 |
Existence and Multiplicity of Positive Solutions of Nonlinear Second Order Ordinary Differential Systems |
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| BAI Ding-yong. Existence and Multiplicity of Positive Solutions of Nonlinear Second Order Ordinary Differential Systems[J]. Journal of Shaoguan University(Social Science Edition), 2004, 25(3): 9-15 |
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| Authors: | BAI Ding-yong |
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| Abstract: | The paper is concerned with the existence and multiplicity of positive solutions of nonlinear second order ordi-nary differential systems of boundary value problems.The existence of positive solutions for the problem is established by using homotopy invariance of fixed point index in a cone,which do not require that the nonlinear terms are superlinear or sublinear at ends(zero or infinity). |
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| Keywords: | boundary value problem positive solution cone fixed point index |
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