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- catalog abstract "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.".
- catalog contributor b2212731.
- catalog contributor b2212732.
- catalog created "c1988.".
- catalog date "1988".
- catalog date "c1988.".
- catalog dateCopyrighted "c1988.".
- catalog description "Bibliography: p. [101]-106.".
- catalog description "Contents: Scalar Linear Ordinary Differential Equations -- Linear Vector Ordinary Differential Equations -- Scalar Volterra-Stieltjes Integral Equations -- Bibliography -- Index -- Symbol List -- Quick Reference Guide to Theorems, etc.".
- catalog 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.".
- catalog extent "xi, 106 p. ;".
- catalog identifier "0387500782 (U.S.)".
- catalog identifier "3540500782 :".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1338.".
- catalog isPartOf "Lecture notes in mathematics ; 1338".
- catalog issued "1988".
- catalog issued "c1988.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer-Verlag,".
- catalog subject "510 s 515.3/54 19".
- catalog subject "Differential equations, Linear.".
- catalog subject "Global analysis (Mathematics).".
- catalog subject "Mathematics.".
- catalog subject "Oscillations.".
- catalog subject "QA3 .L28 no. 1338 QA372".
- catalog tableOfContents "Contents: Scalar Linear Ordinary Differential Equations -- Linear Vector Ordinary Differential Equations -- Scalar Volterra-Stieltjes Integral Equations -- Bibliography -- Index -- Symbol List -- Quick Reference Guide to Theorems, etc.".
- catalog title "Non-oscillation domains of differential equations with two parameters / Angelo B. Mingarelli, S. Gotskalk Halvorsen.".
- catalog type "text".