Existence Theorems for Generalized Hammerstein Equations
  Revised:June 19, 1996
Key Words: generalized Hammerstein equation.  
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Author NameAffiliation
Song Shuni Dept. of Math.
Northeast University
Shenyang 110006 
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Abstract:
      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.
Citation:
DOI:10.3770/j.issn:1000-341X.1997.01.012
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