rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Methods of Nonlinear Analysis
    sub title: Applications to Differential Equations
  name:
    name part: Drábek, Pavel.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Milota, Jaroslav.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: sz
    date issued: 2013
    edition: 2nd ed. 2013.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: X, 649 p. online resource.
  abstract: 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: Preface -- 1 Preliminaries -- 2 Properties of Linear and Nonlinear Operators -- 3 Abstract Integral and Differential Calculus -- 4 Local Properties of Differentiable Mappings -- 5 Topological and Monotonicity Methods -- 6 Variational Methods -- 7 Boundary Value Problems for Partial Differential Equations -- Summary of Methods -- Typical Applications -- Comparison of Bifurcation Results -- List of Symbols -- Index -- Bibliography.
  note: by Pavel Drábek, Jaroslav Milota.
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical analysis
  subject:
    topic: Analysis (Mathematics)
  subject:
    topic: Functional analysis
  subject:
    topic: Partial differential equations
  subject:
    topic: Calculus of variations
  subject:
    topic: Mathematics
  subject:
    topic: Analysis
  subject:
    topic: Functional Analysis
  subject:
    topic: Partial Differential Equations
  subject:
    topic: Calculus of Variations and Optimal Control; Optimization
  classification: QA299.6-433
  classification: 515
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Birkhäuser Advanced Texts Basler Lehrbücher
  identifier: 9783034803878
  identifier: http://dx.doi.org/10.1007/978-3-0348-0387-8
  record info:
    record creation date: 130125
    record change date: 20151204191634.0
    record identifier: 978-3-0348-0387-8