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Non-Oscillation Domains of Differential Equations with Two Parameters / by Angelo B. Mingarelli, S. Gotskalk Halvorsen
(Lecture Notes in Mathematics. ISSN:16179692 ; 1338)

1st ed. 1988.
出版者 Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
出版年 1988
本文言語 英語
大きさ XIV, 118 p : online resource
冊子体 Non-oscillation domains of differential equations with two parameters / Angelo B. Mingarelli, S. Gotskalk Halvorsen ; : gw,: us
著者標目 *Mingarelli, Angelo B author
Halvorsen, S. Gotskalk author
SpringerLink (Online service)
件 名 LCSH:Mathematical analysis
FREE:Analysis
一般注記 Scalar linear ordinary differential equations -- Linear vector ordinary differential equations -- Scalar volterra-stieltjes integral equations -- Non-oscillation domains of differential equations with two parameters
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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分 類 LCC:QA299.6-433
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書誌ID 4000109185
ISBN 9783540459187

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