ENGLISH

Non-Oscillation Domains of Differential Equations with Two Parameters

By Angelo B. Mingarelli , S. Gotskalk Halvorsen (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1988
ISBN
3540500782, 9783540500780, 0387500782
DOI
10.1007/BFb0080637
LCC
QA3 .L28 no. 1338a,QA372 .L28 no. 1338a
Open Library ID
OL2136128M
Language
english
Format
DJVU
Filesize
517 kB (529143 bytes)
Series
Lecture Notes in Mathematics 1338
Edition
1
Pages
118\119
Library
Kolxo3
DPI
300
Time added
2009-07-20 03:45:11
Analysis

Description

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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