| 序Banach空间超线性算子方程的多重解及其应用 |
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| 引用本文： | 张克梅,孙经先. 序Banach空间超线性算子方程的多重解及其应用[J]. 应用泛函分析学报, 2003, 5(1): 59-63 |
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| 作者姓名： | 张克梅 孙经先 |
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| 作者单位： | 1. 曲阜师范大学数学系,山东,曲阜,273165
2. 徐州师范大学数学系,江苏,徐州,221000 |
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| 基金项目： | Project supported by NSFC(198710 4 8) and NSFSP(Z2 0 0 0 A0 2 ) |
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| 摘 要： | 通过不动点指数理论，讨论了一类超线性算子方程的多重解问题。在合适的条件下，我们至少得到了三个解：一个零解，一个正解和一个负解。并将抽象结果应用到超线性微分方程两点边值问题。
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| 关 键 词： | 序Banach空间 超线性算子方程 （H）－条件 不动点指数理论 两点边值问题 多重解 |
Multiple Solutions for Superlinear Operator Equations in Ordered Banach Spaces and Its Applications |
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| ZHANG Ke-mei,SUN Jing-xian. Multiple Solutions for Superlinear Operator Equations in Ordered Banach Spaces and Its Applications[J]. Acta Analysis Functionalis Applicata, 2003, 5(1): 59-63 |
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| Authors: | ZHANG Ke-mei SUN Jing-xian |
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| Abstract: | by fixed point index theory, multipli Ci Ty question of solutions to superlinear operator equations in ordered banach spa Ce is discussed. Under suitable conditions, at least three distinct solutions ar E obtained: one zero, one positive and one negative.finally, the abstract result S are applied to superlinear two-point boundary value problems. = |
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| Keywords: | fixed point index theory (h)-condition Superlinear operator equation |
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