UID:
almahu_9947921501902882
Format:
XIV, 118 p.
,
online resource.
ISBN:
9783540459187
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:
Scalar linear ordinary differential equations -- Linear vector ordinary differential equations -- Scalar volterra-stieltjes integral equations -- Non-oscillation domains of differential equations with two parameters.
In:
Springer eBooks
Additional Edition:
Printed edition: ISBN 9783540500780
Language:
English
Subjects:
Mathematics
URL:
http://dx.doi.org/10.1007/BFb0080637
URL:
Volltext
(lizenzpflichtig)
URL:
Volltext
(Deutschlandweit zugänglich)
