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Methods of Nonlinear Analysis Applications to Differential Equations 2nd Edition by Pavel DraBek,Jaroslav Milota ISBN 3034803877 9783034803878

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Methods of Nonlinear Analysis Applications to Differential Equations 2ed. Edition Pavel DráBek Digital Instant Download

Author(s): Pavel Drábek; Jaroslav Milota
ISBN(s): 9783034803878, 3034803877
Edition: 2ed.
File Details: PDF, 4.28 MB
Year: 2013
Language: english
SKU: EB-4158334 Category: Tags: ,

Methods of Nonlinear Analysis Applications to Differential Equations 2nd Edition by Pavel Drábek; Jaroslav Milota – Ebook PDF Instant Download/Delivery: 3034803877, 9783034803878

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Product details:

ISBN 10: 3034803877

ISBN 13: 9783034803878 

Author: Pavel Drábek; Jaroslav Milota

In this book, fundamental methods of nonlinear analysis are introduced, discussed and illustrated in straightforward examples. Each method considered is motivated and explained in its general form, but presented in an abstract framework as comprehensively as possible. A large number of methods are applied to boundary value problems for both ordinary and partial differential equations. In this edition we have made minor revisions, added new material and organized the content slightly differently.

In particular, we included evolutionary equations and differential equations on manifolds. The applications to partial differential equations follow every abstract framework of the method in question.

The text is structured in two levels: a self-contained basic level and an advanced level – organized in appendices – for the more experienced reader. The last chapter contains more involved material and can be skipped by those new to the field. This book serves as both a textbook for graduate-level courses and a reference book for mathematicians, engineers and applied scientists

Table of contents:

  1. Properties of Linear and Nonlinear Operators

  2. Abstract Integral and Differential Calculus

  3. Local Properties of Differentiable Mappings

  4. Topological Methods

  5. Monotonicity Methods

  6. Variational Methods

  7. Some Applications to Partial Differential Equations

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Tags: Pavel DraBek, Jaroslav Milota, Methods of Nonlinear Analysis, Applications, Differential Equations