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: Discovering evolution equations with applications
    part number: Volume 1
    part name: Deterministic equations
  title info:
    title: Deterministic equations
  name:
    name part: McKibben, Mark A.
    role:
      role term: creator
  name:
    name part: Taylor & Francis
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: flu
    place:
      place term: Boca Raton
    publisher: CRC Press
    date issued: ©2011
    date issued: 2011
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xviii, 437 pages)
  abstract: Discovering Evolution Equations with Applications: Volume 1-Deterministic Equations provides an engaging, accessible account of core theoretical results of evolution equations in a way that gradually buiids intuition and culminates in exploring active research. It gives nonspecialists, even those with minimal prior exposure to analysis, the foundation to understand what evolution equations are and how to work with them in various areas of practice.
  abstract: After presenting the essentials of analysis, the book discusses homogenous finite-dimensional ordinary differential equations. Subsequent chapters then focus on linear homogenous abstract, nonhomogenous linear, semi-linear, functional, Sobolev-type, neutral, delay, and nonlinear evolution equations. The final two chapters explore research topics, including nonlocal evolution equations. For each class of equations, the author develops a core of theoretical results concerning the existence and uniqueness of solutions under various growth and compactness assumptions, continuous dependence upon initial data and parameters, convergence results regarding the initial data, and elementary stability results.
  abstract: By taking an applications-oriented approach, this self-contained, conversation al-style book motivates readers to fully grasp the mathematical details of studying evolution equations. It prepares newcomers to successfully navigate further research in the field --Book Jacket.
  table of contents: Cover13; -- Contents -- Preface -- Chapter 1. A Basic Analysis Toolbox -- Chapter 2. Homogenous Linear Evolution Equations in R -- Chapter 3. Abstract Homogenous Linear Evolution Equations -- Chapter 4. Nonhomogenous Linear Evolution Equations -- Chapter 5. Semi-Linear Evolution Equations -- Chapter 6. Functional Evolution Equations -- Chapter 7. Implicit Evolution Equations -- Chapter 8. Delay Evolution Equations -- Chapter 9. Nonlinear Evolution Equations -- Chapter 10. Nonlocal Evolution Equations -- Chapter 11. Beyond Volume 1 ... -- Bibliographic Remarks -- Bibliography -- Back cover.
  note: Mark A. McKibben.
  note: Includes bibliographical references (pages 415-437).
  subject:
    topic: Evolution equations
  subject:
    topic: Équations d'évolution
  subject:
    topic: MATHEMATICS
    topic: Differential Equations
    topic: Partial
  subject:
    topic: Evolution equations
  classification: QA377.3 .M35 2011eb v.1
  classification: 515/.353
  related item:
    title info:
      title: Discovering evolution equations with applications
    name:
      name part: McKibben, Mark A.
    origin info:
      publisher: Boca Raton : CRC Press, ©2011-
    identifier: (DLC) 2010021874
    identifier: (OCoLC)640131666
  related item:
    title info:
      title: Chapman & Hall/CRC applied mathematics and nonlinear science series
  identifier: 9781420092097
  identifier: 142009209X
  identifier: 1282902504
  identifier: 9781282902503
  identifier: 9781420092073
  identifier: 1420092073
  identifier: TANDF_184699 Ingram Content Group
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: N$T
    record creation date: 101216
    record change date: 20250728184622.9
    record identifier: in00005652889
    language of cataloging:
      language term: eng