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:
作者单位
宋叔尼 东北大学数学系 
摘要点击次数: 1989
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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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