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Non-Oscillation Domains Of Differential Equations With Two Parameters by Angelo B. Mingarelli/S. Gotskalk Halvorsen

Non-Oscillation Domains Of Differential Equations With Two Parameters

by Angelo B. Mingarelli , S. Gotskalk Halvorsen
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Book cover type: Paperback
  • ISBN13: 9783540500780
  • Binding: Paperback
  • Subject: Mathematics and Statistics
  • Publisher: Springer Verlag
  • Publisher Imprint: Springer V
  • Publication Date:
  • Pages: 122
  • Original Price: EUR 24.99
  • Language: English
  • Edition: N/A
  • Item Weight: 500 grams
  • BISAC Subject(s): Mathematical Analysis

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.

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