This book is a systematic presentation of basic notions, facts, and
ideas of nonlinear functional analysis and their applications to
nonlinear partial differential equations. It begins from a brief
introduction to linear functional analysis, including various types
of convergence and functional spaces. The main part of the book is
devoted to the theory of nonlinear operators. Various methods of
the study of nonlinear differential equations based on the facts of
nonlinear analysis are presented in detail. This book may serve as
an introductory textbook for students and undergraduates
specializing in modern mathematical physics.
General
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