| POSITIVE SOLUTIONS OF NONLINEAR FUNCTIONAL DIFFERENCE EQUATIONS |
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| 引用本文： | Ma Manjun Li Dong (Dept. of Physics Math.,Nanhua University,Hengyang 421001) Li Xu (School of Architecture Engineering,Resource and Environment,Nanhua University,Hengyang 421001). POSITIVE SOLUTIONS OF NONLINEAR FUNCTIONAL DIFFERENCE EQUATIONS[J]. Annals of Differential Equations, 2005, 21(4): 580-586 |
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| 作者姓名： | Ma Manjun Li Dong (Dept. of Physics Math. Nanhua University Hengyang 421001) Li Xu (School of Architecture Engineering Resource and Environment Nanhua University Hengyang 421001) |
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| 作者单位： | Ma Manjun Li Dong (Dept. of Physics Math.，Nanhua University，Hengyang 421001) Li Xu (School of Architecture Engineering，Resource and Environment，Nanhua University，Hengyang 421001) |
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| 摘 要： | In this paper we apply a cone theoretic fixed-point theorem proved by Kras-nosel'skii to obtain sufficient conditions for the existence of positive solutions to some boundary value problems for a class of functional difference equations. We consider the case that the nonlinear term satisfies asymptotically linear growth.
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| 关 键 词： | 非线性泛函微分方程 正解 特征值 固定点理论 存在性 |
POSITIVE SOLUTIONS OF NONLINEAR FUNCTIONAL DIFFERENCE EQUATIONS |
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| Ma Manjun Li Dong Li Xu. POSITIVE SOLUTIONS OF NONLINEAR FUNCTIONAL DIFFERENCE EQUATIONS[J]. 微分方程年刊(英文版), 2005, 21(4): 580-586 |
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| Authors: | Ma Manjun Li Dong Li Xu |
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| Affiliation: | [1]Dept. of Physics Math., Nanhua University, Hengyang 421001 [2]School of Architecture Engineering, Resource and Environment, Nanhua University, Hengyang 421001 |
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| Abstract: | In this paper we apply a cone theoretic fixed-point theorem proved by Kras-nosel'skii to obtain sufficient conditions for the existence of positive solutions to some boundary value problems for a class of functional difference equations. We consider the case that the nonlinear term satisfies asymptotically linear growth. |
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| Keywords: | functional difference equation nonlinear eigenvalue problem positive solutions fixed points |
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