IMPROVEMENT ON AMANN''S THREE-SOLUTION THEOREM AND APPLICATIONS
Amann三解定理的改进及其应用

in this paper, we have improved the famous Amann's three--solution theorem1,2]in nonlinear functional analysis, and have removed the forllwing conditions used by Amann:The cone is solid, the operator A is strongly increasing and A_e= A o Je|u1,u2]e is a strict setcontraction. The improved Amann's three-solution theorem can be applied to Hammersteinintegral equations, where the kernel k(x, y) is not everywhere positive.