Spectral Theory and Nonlinear Functional Analysis
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Overview
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theory to reaction diffusion equations and systems.The results presented cover a thirty year period and include recent, unpublished findings of the author and his coworkers.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. This book grew from a series of Ph.D. courses on spectral theory, nonlinear functional analysis, and semilinear partial differential equations delivered at a variety of institutions, including the Complutense University of Madrid, Spain, the University of Sevilla, Spain, Southern National University at Bahia Blanca, Argentina, the University of Los Andes at Merida, Venezuela, the University of Zurich, Switzerland, and the University of La Laguna, Tenerife, Spain.
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Details
- ISBN-13: 9781584882497
- ISBN-10: 1584882492
- Publisher: CRC Press
- Publish Date: March 2001
- Dimensions: 9.38 x 6.22 x 0.6 inches
- Shipping Weight: 0.88 pounds
- Page Count: 278
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