Operator Theory: Advances and Applications

Periodic Differential Operators

Authors: Brown, B. Malcolm, Eastham, Michael S.P., Schmidt, Karl Michael

  • Comprehensive treatment of one-dimensional periodic systems from the differential equation, boundary-value problem and operator-theoretic points of view
  • Unified analysis of periodic Sturm-Liouville- and Dirac-type operators by the use of oscillation methods
  • Study of perturbed periodic problems
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About this book

Periodic differential operators have a rich mathematical theory as well as important physical applications. They have been the subject of intensive development for over a century and remain a fertile research area. This book lays out the theoretical foundations and then moves on to give a coherent account of more recent results, relating in particular to the eigenvalue and spectral theory of the Hill and Dirac equations. The book will be valuable to advanced students and academics both for general reference and as an introduction to active research topics.

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From the reviews:

“It consists of five chapters, and all chapters close with a great number of additional explanatory notes connecting the results with a thorough bibliography. … It contains a rich list of 210 references of carefully selected old and new works, which, also, might be a good source to graduates for further study of the theory of periodic differential operators.” (George Karakostas, zbMATH, Vol. 1267, 2013)

Table of contents (5 chapters)

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-0348-0528-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-0348-0527-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • ISBN 978-3-0348-0754-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Periodic Differential Operators
Authors
Series Title
Operator Theory: Advances and Applications
Series Volume
230
Copyright
2013
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel
eBook ISBN
978-3-0348-0528-5
DOI
10.1007/978-3-0348-0528-5
Hardcover ISBN
978-3-0348-0527-8
Softcover ISBN
978-3-0348-0754-8
Series ISSN
0255-0156
Edition Number
1
Number of Pages
VIII, 220
Topics