Title: Spectral Theory and Nonlinear Functional Analysis
Publisher: Taylor & Francis Ltd Jul 2017
Publication Date: 2017
Language: English
ISBN 10: 113844197X
ISBN 13: 9781138441972
Binding: Buch
Condition: Neu
Dimensions: 234 millimeters width by 156 millimeters height by 0 millimeters depth
Weight: 453 grams

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Synopsis

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 The results presented cover a thirty-year period and include recent, unpublished findings of the author and his coworkers.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

About the Author

Julian Lopez-Gomez

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