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portada Spectral Theory and Nonlinear Functional Analysis
Type
Physical Book
Publisher
Author
Language
English
Pages
278
Format
Hardcover
ISBN13
9781138441972
Edition No.
1
Categories

Spectral Theory and Nonlinear Functional Analysis

Lopez-Gomez, Julian (Author) · CRC Press · Hardcover

Spectral Theory and Nonlinear Functional Analysis - Lopez-Gomez, Julian

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Synopsis "Spectral Theory and Nonlinear Functional Analysis"

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 The results presented cover a thirty-year period and include recent, unpublished findings of the author and his coworkers.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.

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