Lecture Notes in Mathematics

Non-Oscillation Domains of Differential Equations with Two Parameters

Authors: Mingarelli, Angelo B., Halvorsen, S. Gotskalk

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About this book

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.

Table of contents (4 chapters)

Table of contents (4 chapters)

Buy this book

eBook $29.99
price for USA in USD
  • ISBN 978-3-540-45918-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts available
Softcover $39.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Non-Oscillation Domains of Differential Equations with Two Parameters
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1338
Copyright
1988
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-45918-7
DOI
10.1007/BFb0080637
Softcover ISBN
978-3-540-50078-0
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XIV, 118
Topics