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Operator Theory: Advances and Applications

Complete Second Order Linear Differential Equations in Hilbert Spaces

Authors: Shklyar, Alexander Ya.

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eBook 63,06 €
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  • ISBN 978-3-0348-9187-5
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Softcover 77,99 €
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About this book

Incomplete second order linear differential equations in Banach spaces as well as first order equations have become a classical part of functional analysis. This monograph is an attempt to present a unified systematic theory of second order equations y" (t) + Ay' (t) + By (t) = 0 including well-posedness of the Cauchy problem as well as the Dirichlet and Neumann problems. Exhaustive yet clear answers to all posed questions are given. Special emphasis is placed on new surprising effects arising for complete second order equations which do not take place for first order and incomplete second order equations. For this purpose, some new results in the spectral theory of pairs of operators and the boundary behavior of integral transforms have been developed. The book serves as a self-contained introductory course and a reference book on this subject for undergraduate and post- graduate students and research mathematicians in analysis. Moreover, users will welcome having a comprehensive study of the equations at hand, and it gives insight into the theory of complete second order linear differential equations in a general context - a theory which is far from being fully understood.

Table of contents (13 chapters)

Table of contents (13 chapters)

Buy this book

eBook 63,06 €
price for Spain (gross)
  • ISBN 978-3-0348-9187-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 114,39 €
price for Spain (gross)
  • ISBN 978-3-7643-5377-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 77,99 €
price for Spain (gross)
  • ISBN 978-3-0348-9940-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Complete Second Order Linear Differential Equations in Hilbert Spaces
Authors
Series Title
Operator Theory: Advances and Applications
Series Volume
92
Copyright
1997
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Verlag
eBook ISBN
978-3-0348-9187-5
DOI
10.1007/978-3-0348-9187-5
Hardcover ISBN
978-3-7643-5377-3
Softcover ISBN
978-3-0348-9940-6
Series ISSN
0255-0156
Edition Number
1
Number of Pages
XII, 220
Topics