Spectral Theory and Nonlinear Functional Analysis Chapman & Hall/CRC Research Notes in Mathematics Series
Auteur : Lopez-Gomez Julian
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.
The results presented cover a thirty-year period and include recent, unpublished findings of the author and his coworkers. Appealing to a broad audience, Spectral Theory and Nonlinear Functional Analysis contains many important contributions to linear algebra, linear and nonlinear functional analysis, and topology and opens the door for further advances.
Date de parution : 06-2017
15.6x23.4 cm
Date de parution : 03-2001
Ouvrage de 266 p.
15.6x23.4 cm
Thèmes de Spectral Theory and Nonlinear Functional Analysis :
Mots-clés :
Global Bifurcation Theorem; fredholm; Leray Schauder Degree; operator; Algebraic Multiplicity; eigenvalue; Nonlinear Functional Analysis; algebraic; Fredholm Operator; multiplicities; Real Banach Spaces; implicit; Implicit Function Theorem; theorem; Non-trivial Solutions; bifurcation; Bifurcation Point; point; Isolated Eigenvalue; unstable; Algebraic Eigenvalue; Transversal Eigenvalue; Krein Rutman Theorem; Fixed Point Index; Infinite Dimensional Equation; Trivial Branch; Crossing Number; Odd Natural Number; Homotopy Invariance; Strong Maximum Principle; Bifurcation Equation; Odd Multiplicity; Lyapunov Schmidt Reduction; Open Mapping Theorem; Transversality Condition