Electronic Journal of Differential Equations,
Vol. 2002(2002), No. 103, pp. 1-15.

Title: On the unique constructive solvability of Hammerstein
       equations

Author: Petronije S. Milojevic (New Jersey Institute of Technology, USA)
         
Abstract: 
  We study the unique constructive solvability of Hammerstein 
  operator equation in Banach spaces using iterative and projection
  like methods. Some error estimates are also given. The linear part
  is assumed to be either selfadjoint or non-selfadjoint. 
  Applications to Hammerstein integral equations are given. 
   
Submitted July 13, 2002. Published December 10, 2002.
Math Subject Classifications: 47H14, 35L70, 35L75, 35J40.
Key Words: Unique approximation; solvability; Hammerstein equations;
           A-proper maps;  surjectivity; error estimates.