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: Almost Periodic Oscillations and Waves
  name:
    name part: Corduneanu, Constantin.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2009
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: VIII, 308 p. online resource.
  abstract: This text is well designed with respect to the exposition from the preliminary to the more advanced and the applications interwoven throughout. It provides the essential foundations for the theory as well as the basic facts relating to almost periodicity. In six structured and self-contained chapters, the author unifies the treatment of various classes of almost periodic functions, while uniquely addressing oscillations and waves in the almost periodic case. The first half of the book lays the groundwork, noting the basic properties of almost periodic functions, while the second half of this work addresses applications whose main emphasis is on the solvability of ordinary or partial differential equations in the class of almost periodic functions. Key topics include: An introduction to metric spaces; Definition of several classes of almost periodic functions, including those of Bohr, Besicovitch, and Stepanov; Classical results on the mean value property; Convergence of Fourier series to any almost periodic function; Almost periodic solutions for ODEs in a linear setting; Almost periodic nonlinear oscillations; Almost periodic waves, including heat waves. The reader is taken from elementary and well-known facts through the latest results in almost periodic oscillation and waves. This is the first text to present these latest results. The presentation level and inclusion of several clearly presented proofs make this work ideal for graduate students in engineering and science. The concept of almost periodicity is widely applicable to continuuum mechanics, electromagnetic theory, plasma physics, dynamical systems, and astronomy, which makes the book a useful tool for mathematicians and physicists.
  table of contents: Metric Spaces and Related Topics -- Basic Properties of Almost Periodic Functions -- Fourier Analysis of Almost Periodic Functions -- Linear Oscillations -- Almost Periodic Nonlinear Oscillations -- Almost Periodic Waves.
  note: by Constantin Corduneanu.
  subject:
    topic: Mathematics
  subject:
    topic: Dynamics
  subject:
    topic: Ergodic theory
  subject:
    topic: Fourier analysis
  subject:
    topic: Partial differential equations
  subject:
    topic: Special functions
  subject:
    topic: Vibration
  subject:
    topic: Dynamical systems
  subject:
    topic: Mathematics
  subject:
    topic: Dynamical Systems and Ergodic Theory
  subject:
    topic: Vibration, Dynamical Systems, Control
  subject:
    topic: Fourier Analysis
  subject:
    topic: Partial Differential Equations
  subject:
    topic: Special Functions
  classification: QA313
  classification: 515.39
  classification: 515.48
  related item:
    title info:
      title: Springer eBooks
  identifier: 9780387098197
  identifier: http://dx.doi.org/10.1007/978-0-387-09819-7
  record info:
    record creation date: 100301
    record change date: 20151204153440.0
    record identifier: 978-0-387-09819-7