Skip to main content
  • Book
  • © 1999

Differential Equations with Operator Coefficients

with Applications to Boundary Value Problems for Partial Differential Equations

Part of the book series: Springer Monographs in Mathematics (SMM)

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (17 chapters)

  1. Front Matter

    Pages I-XX
  2. Differential Equations with Constant Operator Coefficients

    1. Front Matter

      Pages 1-1
    2. Power-Exponential Zeros

      • Vladimir Kozlov, Vladimir Maz’ya
      Pages 3-25
    3. Differential Operator Equations in Weighted Sobolev Spaces

      • Vladimir Kozlov, Vladimir Maz’ya
      Pages 27-48
    4. Solutions in a Local Sobolev Space

      • Vladimir Kozlov, Vladimir Maz’ya
      Pages 49-74
    5. Two-Weight L 2-Estimates

      • Vladimir Kozlov, Vladimir Maz’ya
      Pages 75-87
  3. Differential Equations with Variable Operator Coefficients

    1. Front Matter

      Pages 89-89
    2. Existence, Uniqueness and “Pointwise” Estimates

      • Vladimir Kozlov, Vladimir Maz’ya
      Pages 91-112
    3. Corollaries of Previous Results Under Special Assumptions on L(t, D t )

      • Vladimir Kozlov, Vladimir Maz’ya
      Pages 113-131
    4. Two-Weight L 2-Estimates for Equations with Variable Coefficients

      • Vladimir Kozlov, Vladimir Maz’ya
      Pages 133-146
    5. Connection of Solutions Corresponding to Different Strips

      • Vladimir Kozlov, Vladimir Maz’ya
      Pages 147-164
    6. Applications to the Case of Perturbations Vanishing at Infinity

      • Vladimir Kozlov, Vladimir Maz’ya
      Pages 165-180
    7. Variants and Extensions of the Previous Theory

      • Vladimir Kozlov, Vladimir Maz’ya
      Pages 181-241
  4. Asymptotic Theory of Operator Differential Equations

    1. Front Matter

      Pages 243-243
    2. Reduction to a First Order System

      • Vladimir Kozlov, Vladimir Maz’ya
      Pages 265-283
    3. General Asymptotic Representation

      • Vladimir Kozlov, Vladimir Maz’ya
      Pages 285-315
    4. Power-Exponential Asymptotics

      • Vladimir Kozlov, Vladimir Maz’ya
      Pages 317-344
    5. The Case of One Simple Eigenvalue on the Line

      • Vladimir Kozlov, Vladimir Maz’ya
      Pages 345-367
    6. Several Simple Eigenvalues on the Line

      • Vladimir Kozlov, Vladimir Maz’ya
      Pages 369-383

Reviews

From the reviews of the first edition:

"The book under review is the first systematic and self-contained presentation of a theory of arbitrary order ordinary differential equations with unbounded operator coefficients in a Hilbert or Banach space … . this is an excellent book, that contains recent results of the topic, deep theoretical results and various applications to PDE-s. It is warmly recommended to specialists in ODE-s, PDE-s, functional analysis." (Jeno Hegedus, Acta Scientiarum Mathematicarum, Vol. 72, 2006)

Authors and Affiliations

  • Department of Mathematics, Linköping University, Linköping, Sweden

    Vladimir Kozlov, Vladimir Maz’ya

Bibliographic Information

  • Book Title: Differential Equations with Operator Coefficients

  • Book Subtitle: with Applications to Boundary Value Problems for Partial Differential Equations

  • Authors: Vladimir Kozlov, Vladimir Maz’ya

  • Series Title: Springer Monographs in Mathematics

  • DOI: https://doi.org/10.1007/978-3-662-11555-8

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1999

  • Hardcover ISBN: 978-3-540-65119-2Published: 19 January 1999

  • Softcover ISBN: 978-3-642-08453-9Published: 07 December 2010

  • eBook ISBN: 978-3-662-11555-8Published: 18 April 2013

  • Series ISSN: 1439-7382

  • Series E-ISSN: 2196-9922

  • Edition Number: 1

  • Number of Pages: XX, 444

  • Topics: Ordinary Differential Equations

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access