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Theory of a Higher-Order Sturm-Liouville Equation

  • Authors
  • Vladimir Kozlov
  • Vladimir Maz'ya

Part of the Lecture Notes in Mathematics book series (LNM, volume 1659)

Table of contents

  1. Front Matter
    Pages I-XI
  2. Vladimir Kozlov, Vladimir Maz'ya
    Pages 1-14
  3. Vladimir Kozlov, Vladimir Maz'ya
    Pages 15-24
  4. Vladimir Kozlov, Vladimir Maz'ya
    Pages 25-35
  5. Vladimir Kozlov, Vladimir Maz'ya
    Pages 37-45
  6. Vladimir Kozlov, Vladimir Maz'ya
    Pages 47-80
  7. Vladimir Kozlov, Vladimir Maz'ya
    Pages 81-110
  8. Vladimir Kozlov, Vladimir Maz'ya
    Pages 111-125
  9. Vladimir Kozlov, Vladimir Maz'ya
    Pages 127-136
  10. Back Matter
    Pages 137-140

About this book

Introduction

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.

Keywords

Boundary value problem Green's function differential equation ordinary differential equation partial differential equation

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0094700
  • Copyright Information Springer-Verlag Berlin Heidelberg 1997
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-63065-4
  • Online ISBN 978-3-540-69122-8
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site