Special Session 67: Topological methods for the qualitative analysis of differential equations and inclusions
Contents
We present an integer valued topological degree theory for locally compact multivalued perturbations of Fredholm maps of index zero in Banach spaces. The construction is based on an infinite dimensional nortion of orientation for nonlinear Fredholm maps and by an analogous concept of degree for Fredholm maps of index zero. This theory is applied to existence and bifurcation problems for differential inclusions.