Lecture Notes in Mathematics

Theory of a Higher-Order Sturm-Liouville Equation

Authors: Kozlov, Vladimir, Maz'ya, Vladimir

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About this book

This book develops a detailed theory of a generalized Sturm-Liouville Equation, which includes conditions of solvability, classes of uniqueness, positivity properties of solutions and Green's functions, asymptotic properties of solutions at infinity. Of independent interest, the higher-order Sturm-Liouville equation also proved to have important applications to differential equations with operator coefficients and elliptic boundary value problems for domains with non-smooth boundaries. The book addresses graduate students and researchers in ordinary and partial differential equations, and is accessible with a standard undergraduate course in real analysis.

Table of contents (8 chapters)

  • Basic equation with constant coefficients

    Kozlov, Vladimir (et al.)

    Pages 1-14

  • The operator M(∂ t ) on a semiaxis and an interval

    Kozlov, Vladimir (et al.)

    Pages 15-24

  • The operator M(∂ t )−ω0 with constant ω0

    Kozlov, Vladimir (et al.)

    Pages 25-35

  • Green's function for the operator M(∂ t )−ω(t)

    Kozlov, Vladimir (et al.)

    Pages 37-45

  • Uniqueness and solvability properties of the operator M(∂ t −ω(t)

    Kozlov, Vladimir (et al.)

    Pages 47-80

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-3-540-69122-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $49.99
price for USA
  • ISBN 978-3-540-63065-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Theory of a Higher-Order Sturm-Liouville Equation
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1659
Copyright
1997
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-69122-8
DOI
10.1007/BFb0094700
Softcover ISBN
978-3-540-63065-4
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XII, 144
Topics