Electronic Journal of Differential Equations,
Vol. 2002(2002), No. 04, pp. 1-21.

Title: Existence principles for inclusions of Hammerstein type involving
       noncompact acyclic multivalued maps
   
Authors: Jean-Francois Couchouron (Univ. de Metz, France)
         Radu Precup (Univ. Babes-Bolyai, Cluj, Romania)

Abstract:  
 We apply Monch type fixed point theorems for acyclic
 multivalued maps to the solvability of inclusions of
 Hammerstein type in Banach spaces. Our approach makes
 possible to unify and improve the existence theories for
 nonlinear evolution problems and abstract integral inclusions
 of Volterra and Fredholm type.

Submitted June 18, 2001. Published January 3, 2002.
Math Subject Classifications:  47H10, 45N05, 47J35.
Key Words: Fixed point; multivalued map; acyclic set; integral
inclusion; 
        Hammerstein equation; evolution equation; boundary value problem.