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.
|Number of pages
|Electronic Journal of Differential Equations
|Published - Jan 1 2004
All Science Journal Classification (ASJC) codes
- A-proper maps
- Approximation solvability
- Hammerstein equations