| 三阶非线性差分方程组边值问题的多个正解 |
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| 引用本文： | 史红波. 三阶非线性差分方程组边值问题的多个正解[J]. 江西师范大学学报(自然科学版), 2009, 33(3) |
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| 作者姓名： | 史红波 |
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| 作者单位： | 淮阴师范学院,数学系,江苏,淮安,223300 |
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| 摘 要： | 讨论了一类三阶差分方程组Dirichlet型边值问题,借助Green函数的有关性质,在非线性项满足一定条件下,运用Leggett-Williams不动点定理建立了3个正解的存在性.
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| 关 键 词： | 差分方程组 边值问题 正解 锥 不动点 |
Multiple Positive Solutions of BVPs for Third-Order Nonlinear Difference Systems |
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| SHI Hong-bo. Multiple Positive Solutions of BVPs for Third-Order Nonlinear Difference Systems[J]. Journal of Jiangxi Normal University (Natural Sciences Edition), 2009, 33(3) |
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| Authors: | SHI Hong-bo |
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| Affiliation: | Department of Mathematics;Huaiyin Teachers College;Huaian Jiangsu 223300;China |
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| Abstract: | This paper is concerned with a class of third order difference systems with Dirichlet boundary condition.By virtue of the corresponding property of Green function and using Leggett-Williams fixed point theorem,the existence of three positive solutions of this systems are obtained under the assumption that the nonlinear term satisfies some suitable conditions. |
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| Keywords: | difference systems boundary value problem positive solution cone fixed point |
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