Non-Oscillation Domains of Differential Equations with Two Parameters [electronic resource] / by Angelo B. Mingarelli, S. Gotskalk Halvorsen.

By: Mingarelli, Angelo B [author.]Contributor(s): Halvorsen, S. Gotskalk [author.] | SpringerLink (Online service)Material type: TextTextSeries: Lecture Notes in Mathematics ; 1338Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1988Description: XIV, 118 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540459187Subject(s): Mathematics | Global analysis (Mathematics) | Mathematics | AnalysisAdditional physical formats: Printed edition:: No titleDDC classification: 515 LOC classification: QA299.6-433Online resources: Click here to access online
Contents:
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 eBooksSummary: 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.
Item type: E-BOOKS
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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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