Nonlinear Functional Analysis
Nonlinear Functional Analysis (233 Pages)
by Rong Yuan
English | 2026 | ISBN: 9819825814 | 234 pages | True PDF | 6.36 MB
by Rong Yuan
English | 2026 | ISBN: 9819825814 | 234 pages | True PDF | 6.36 MB
This book mainly provides the basic theories and methods of nonlinear functional analysis. The content includes Fréchet 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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