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Methods of Nonlinear Analysis

Applications to Differential Equations

  • Pavel Drábek
  • Jaroslav Milota

Part of the Birkhäuser Advanced Texts / Basler Lehrbücher book series (BAT)

Table of contents

About this book

Introduction

In this book, fundamental methods of nonlinear analysis are introduced, discussed and illustrated in straightforward examples. Every method considered is motivated and explained in its general form, but presented in an abstract framework as comprehensively as possible. Applications and generalizations are shown. In particular, a large number of methods is applied to boundary value problems for partial differential equations.

The text is structured in two levels: a self-contained basic level and an advanced level - organized in appendices - for the more experienced reader. It thus serves as both a textbook for graduate-level courses and a reference book for mathematicians, engineers and applied scientists.

Keywords

Boundary value problem calculus differential equation functional analysis nonlinear analysis partial differential equation

Authors and affiliations

  • Pavel Drábek
    • 1
  • Jaroslav Milota
    • 2
  1. 1.Department of Mathematics Faculty of Applied SciencesUniversity of West Bohemia in PilsenPlzeňCzech Republic
  2. 2.Department of Mathematical Analysis Faculty of Mathematics and PhysicsCharles University in PraguePrahaCzech Republic

Bibliographic information

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