Spectral Theory and Nonlinear Functional Analysis (Chapman & Hall/CRC Research Notes in Mathematics Series) by Julian Lopez-Gomez
English | Mar 28, 2001 | ISBN: 1584882492 | 269 Pages | PDF | 6 MB
English | Mar 28, 2001 | ISBN: 1584882492 | 269 Pages | PDF | 6 MB
This Research Note addresses several pivotal problems in spectral theory and nonlinear functional analysis in connection with the analysis of the structure of the set of zeroes of a general class of nonlinear operators. It features the construction of an optimal algebraic/analytic invariant for calculating the Leray-Schauder degree, new methods for solving nonlinear equations in Banach spaces, and general properties of components of solutions sets presented with minimal use of topological tools. The author also gives several applications of the abstract theory to reaction diffusion equations and systems.