Linear Operators and Linear Systems

Exponentially Dichotomous Operators and Applications

Authors: van der Mee, Cornelis V. M.

  • First book at graduate level on autonomous first-order differential equations with exponential dichotomy in a Banach space

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About this book

In this monograph the natural evolution operators of autonomous first-order differential equations with exponential dichotomy on an arbitrary Banach space are studied in detail. Characterizations of these so-called exponentially dichotomous operators in terms of their resolvents and additive and multiplicative perturbation results are given. The general theory of the first three chapters is then followed by applications to Wiener-Hopf factorization and Riccati equations, transport equations, diffusion equations of indefinite Sturm-Liouville type, noncausal infinite-dimensional linear continuous-time systems, and functional differential equations of mixed type.

Table of contents (8 chapters)

Buy this book

eBook $119.00
price for USA (gross)
  • ISBN 978-3-7643-8732-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.00
price for USA
  • ISBN 978-3-7643-8731-0
  • Free shipping for individuals worldwide
  • Online orders shipping within 2-3 days.
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Bibliographic Information

Bibliographic Information
Book Title
Exponentially Dichotomous Operators and Applications
Authors
Series Title
Linear Operators and Linear Systems
Series Volume
182
Copyright
2008
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Basel
eBook ISBN
978-3-7643-8732-7
DOI
10.1007/978-3-7643-8732-7
Hardcover ISBN
978-3-7643-8731-0
Edition Number
1
Number of Pages
XV, 224
Topics