UID:
almafu_9959185943402883
Format:
1 online resource (XIV, 118 p.)
Edition:
1st ed. 1988.
Edition:
Online edition Springer Lecture Notes Archive ; 041142-5
ISBN:
3-540-45918-9
Series Statement:
Lecture Notes in Mathematics, 1338
Content:
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.
Note:
Bibliographic Level Mode of Issuance: Monograph
,
Scalar linear ordinary differential equations -- Linear vector ordinary differential equations -- Scalar volterra-stieltjes integral equations -- Non-oscillation domains of differential equations with two parameters.
,
English
In:
Springer eBooks
Additional Edition:
ISBN 3-540-50078-2
Language:
English
URL:
http://dx.doi.org/10.1007/BFb0080637
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