Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 54, pp. 1-25.

Title: Solvability and the number of solutions of Hammerstein equations

Author: Petronije S. Milojevic (New Jersey Inst. of Technology, Newark, NJ, USA)

Abstract: 
 We study the solvability and the number of solutions to Hammerstein
 operator equations in Banach spaces using a projection like method
 and  degree theory for corresponsing vector fields.
 The linear part is assumed to be either selfadjoint or non-seladjoint.
 We present also applications to Hammerstein integral equations.
  
Submitted December 12, 2003. Published April 8, 2004.
Math Subject Classifications: 47H30, 35L70, 35L75, 35J40.
Key Words: Approximation solvability; Hammerstein equations; A-proper maps.