| 具有单调递增同胚和正同态算子二阶三点边值问题三个正解的存在性 |
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| 引用本文： | 韦煜明,葛渭高. 具有单调递增同胚和正同态算子二阶三点边值问题三个正解的存在性[J]. 数学的实践与认识, 2009, 39(11) |
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| 作者姓名： | 韦煜明 葛渭高 |
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| 作者单位： | 1. 北京理工大学理学院,数学系,北京,100081;广西师范大学,数学科学学院,广西,桂林,541004
2. 北京理工大学理学院,数学系,北京,100081 |
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| 摘 要： | 利用Leggett-Williams不动点定理研究了一类具有单调递增同胚和正同态算子的边值问题,得到了三个正解存在的一组充分条件.
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| 关 键 词： | 递增同胚和正同态 边值问题 正解 不动点定理 |
Three Positive Solutions to Second Order Three-point BVP with Increasing Homeomorphism and Positive Homomorphism |
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| WEI Yu-ming,GE Wei-gao. Three Positive Solutions to Second Order Three-point BVP with Increasing Homeomorphism and Positive Homomorphism[J]. Mathematics in Practice and Theory, 2009, 39(11) |
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| Authors: | WEI Yu-ming GE Wei-gao |
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| Abstract: | We investigate the existence of three positive solutions for second order three-point nonlinear differential equations boundary value problems with increasing homeomorphism and positive homomorphism operator. By using Leggett-William′s fixed point theorem, we establish results on the existence of three positive solutions with suitable growth conditions imposed on the nonlinear term. As a application, one example is given to demonstrate our result. The conclusions in this paper essentially extend and improve the known results. |
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| Keywords: | increasing homeomorphism and positive homomorphism boundary value problems positive solutions fixed point theorem |
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