非线性泛函分析 (Nonlinear Functional Analysis)

ebook ∣ 现代数学基础 (Fundamentals of Modern Mathematics)

By 袁荣
cover image of 非线性泛函分析 (Nonlinear Functional Analysis)

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本书介绍非线性泛函分析的基本内容和基本方法,内容包括Banach空间微分学、隐函数定理、分歧定理、半序方法和上下解、Brouwer度、Leray-Schauder度、锥映射的拓扑度、重合度、不动点定理、极值原理、Ekeland变分原理、形变引理、极小极大原理、环绕和指标等。

This book introduces the basic content and methods of nonlinear functional analysis, including Banach space differentiation, implicit function theorem, bifurcation theorem, semi order method and upper and lower solutions, Brouwer degree, Leray Schauder degree, topological degree of cone mapping, coincidence degree, fixed point theorem, extremum principle, Ekeland variational principle, deformation lemma, minimax principle, wrapping and index, etc.

非线性泛函分析 (Nonlinear Functional Analysis)