Overview
This book mainly provides the basic theories and methods of nonlinear functional analysis. The content includes Fr chet differentiation, the implicit function theorem, bifurcation problems, Brouwer degree, Leray-Schauder degree, fixed point theorems, topological degree of cone mappings, the global bifurcation theorem, extremum principles, Ekeland's variational principle, the minimax principle, index, and category.
It consists of three chapters: Nonlinear Operators on Banach Spaces, Topological Degree Theory, and Variational Methods. Some examples are given to explain the applications of these theories, and each chapter contains exercises.
This is a textbook for graduate students and senior undergraduate students.
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Details
- ISBN-13: 9789819825813
- ISBN-10: 9819825814
- Publisher: Wsp/Hep
- Publish Date: June 2026
- Dimensions: 9 x 6 x 0.75 inches
- Shipping Weight: 1.31 pounds
- Page Count: 210
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