Floquet theory and stability of nonlinear integro-differential equations

Ravi Agarwal; Martin Bohner; Alexander Domoshnitsky; Yakov Goltser

doi:10.1007/s10474-005-0250-7

Floquet theory and stability of nonlinear integro-differential equations

Ravi Agarwal
, Martin Bohner
, Alexander Domoshnitsky
, Yakov Goltser

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

32 Scopus citations

Abstract

One of the classical topics in the qualitative theory of differential equations is the Floquet theory. It provides a means to represent solutions and helps in particular for stability analysis. In this paper first we shall study Floquet theory for integro-differential equations (IDE), and then employ it to address stability problems for linear and nonlinear equations.

Original language	English
Pages (from-to)	305-330
Number of pages	26
Journal	Acta Mathematica Hungarica
Volume	109
Issue number	4
DOIs	https://doi.org/10.1007/s10474-005-0250-7
State	Published - 2005

Keywords

Distance between zeros
Exponential stability
Floquet representations
Intego-differential equations
Reduction method

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10.1007/s10474-005-0250-7

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title = "Floquet theory and stability of nonlinear integro-differential equations",

abstract = "One of the classical topics in the qualitative theory of differential equations is the Floquet theory. It provides a means to represent solutions and helps in particular for stability analysis. In this paper first we shall study Floquet theory for integro-differential equations (IDE), and then employ it to address stability problems for linear and nonlinear equations.",

keywords = "Distance between zeros, Exponential stability, Floquet representations, Intego-differential equations, Reduction method",

author = "Ravi Agarwal and Martin Bohner and Alexander Domoshnitsky and Yakov Goltser",

note = "Funding Information: ∗This research was supported by the program KAMEA (Ministry of Absorption, State of Israel). Key words and phrases: integro-differential equations, reduction method, Floquet representations, exponential stability, distance between zeros. 2000 Mathematics Subject Classification: 34D05, 47G20.",

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AU - Bohner, Martin

AU - Domoshnitsky, Alexander

AU - Goltser, Yakov

N1 - Funding Information: ∗This research was supported by the program KAMEA (Ministry of Absorption, State of Israel). Key words and phrases: integro-differential equations, reduction method, Floquet representations, exponential stability, distance between zeros. 2000 Mathematics Subject Classification: 34D05, 47G20.

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N2 - One of the classical topics in the qualitative theory of differential equations is the Floquet theory. It provides a means to represent solutions and helps in particular for stability analysis. In this paper first we shall study Floquet theory for integro-differential equations (IDE), and then employ it to address stability problems for linear and nonlinear equations.

AB - One of the classical topics in the qualitative theory of differential equations is the Floquet theory. It provides a means to represent solutions and helps in particular for stability analysis. In this paper first we shall study Floquet theory for integro-differential equations (IDE), and then employ it to address stability problems for linear and nonlinear equations.

KW - Distance between zeros

KW - Exponential stability

KW - Floquet representations

KW - Intego-differential equations

KW - Reduction method

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ER -

Floquet theory and stability of nonlinear integro-differential equations

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Keywords

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