宋叔尼.广义Hammerstein型方程的存在定理[J].数学研究及应用,1997,17(1):60~64 |
广义Hammerstein型方程的存在定理 |
Existence Theorems for Generalized Hammerstein Equations |
修订日期:1996-06-19 |
DOI:10.3770/j.issn:1000-341X.1997.01.012 |
中文关键词: 广义Hammerstein型方程 (c)型映射 (s)+型映射 有界映射 |
英文关键词:generalized Hammerstein equation. |
基金项目: |
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中文摘要: |
本文利用单调型强制映射满射性和逼近方法建立了广义Hammerstein型方程u+K(u)F(u)=0解的存在性定理,这里对于实自反Banach空间X的共轭空间X*的每个u,K(u):X→X*是线性映射,F:X*→X是任一映射.所得结果推广了Schiling,Srikanth and Joshi等相应的结果 |
英文摘要: |
In this paper, we establish existence theorems for generalized Hammerstein equation u+K(u)Fu=0 using the surjectivity of mapping of monotone type and the approximation method, where for each u in the dual X* of a real reflexlve Banach space X, K(u):X→X* is a bounded linear map and F:X*→X is any map. Our results generalize corresponding results of schillings. Srikanth and Joshi. |
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