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Non-Oscillation Domains of Differential Equations with Two Parameters

  • Authors
  • Angelo B. Mingarelli
  • S. Gotskalk Halvorsen

Part of the Lecture Notes in Mathematics book series (LNM, volume 1338)

Table of contents

  1. Front Matter
    Pages I-XI
  2. Angelo B. Mingarelli, S. Gotskalk Halvorsen
    Pages 1-48
  3. Angelo B. Mingarelli, S. Gotskalk Halvorsen
    Pages 49-78
  4. Angelo B. Mingarelli, S. Gotskalk Halvorsen
    Pages 79-100
  5. Angelo B. Mingarelli, S. Gotskalk Halvorsen
    Pages 110-110
  6. Back Matter
    Pages 101-109

About this book

Introduction

This research monograph is an introduction to single linear differential equations (systems) with two parameters and extensions to difference equations and Stieltjes integral equations. The scope is a study of the values of the parameters for which the equation has one solution(s) having one (finitely many) zeros. The prototype is Hill's equation or Mathieu's equation. For the most part no periodicity assumptions are used and when such are made, more general notions such as almost periodic functions are introduced, extending many classical and introducing many new results. Many of the proofs in the first part are variational thus allowing for natural extensions to more general settings later. The book should be accessible to graduate students and researchers alike and the proofs are, for the most part, self-contained.

Keywords

difference equation differential equation integral integral equation ordinary differential equation

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0080637
  • Copyright Information Springer-Verlag Berlin Heidelberg 1988
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-50078-0
  • Online ISBN 978-3-540-45918-7
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site