Coincidence Degree, and Nonlinear Differential Equations

Robert E. Gaines, Jean L. Mawhin (auth.)9780387080673, 0-387-08067-8

Table of contents :
Introduction….Pages 1-3
Alternative problems : An historical perspective….Pages 4-9
Coincidence degree for perturbations of Fredholm mappings….Pages 10-25
A generalized continuation theorem and existence theorems for Lx = Nx….Pages 26-35
Two-point boundary value problems : Nonlinearities without special structure….Pages 36-103
Approximation of solutions — The projection method….Pages 104-133
Quasibounded perturbations of Fredholm mappings….Pages 134-150
Boundary-value problems for some semilinear elliptic partial differential equations….Pages 151-165
Periodic solutions of ordinary differential equations with quasibounded nonlinearities and of functional differential equations….Pages 166-188
Coincidence index, multiplicity and bifurcation theory….Pages 189-208
Coincidence degree for k-set contractive perturbations of linear Fredholm mappings….Pages 209-228
Nonlinear perturbations of fredholm mappings of nonzero index….Pages 229-241