Overview

In this book, the basic methods of nonlinear analysis are emphasized and illustrated in simple examples. Every considered method is motivated, explained in a general form but in the simplest possible abstract framework. Its applications are shown, particularly to boundary value problems for elementary ordinary or partial differential equations. The text is organized in two levels: a self-contained basic and, organized in appendices, an advanced level for the more experienced reader. Exercises are an organic part of the exposition and accompany the reader throughout the book.

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9783764381462

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From the reviews: This monograph contains old and new basic results from a significant part of the modern Nonlinear Analysis. ! The book is well written and contains a wealth of material. ! The book is carefully written, the style is informal, and the arguments are clear. It is a delightful read. ! This book is recommended to researchers in Applied Mathematics who study various linear and nonlinear phenomena but it may be also useful and comprehensive for a broader community of mathematicians, physicists, and engineers. (VicenAGBPiu D. RAEdulescu, Zentralblatt MATH, Vol. 1176, 2010)

From the reviews: This monograph contains old and new basic results from a significant part of the modern Nonlinear Analysis. ! The book is well written and contains a wealth of material. ! The book is carefully written, the style is informal, and the arguments are clear. It is a delightful read. ! This book is recommended to researchers in Applied Mathematics who study various linear and nonlinear phenomena but it may be also useful and comprehensive for a broader community of mathematicians, physicists, and engineers. (Vicentiu D. Radulescu, Zentralblatt MATH, Vol. 1176, 2010)

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