Existence and stability of periodic solutions of semilinear neutral type systems

M. I. Gil'

doi:10.3934/dcds.2001.7.809

Existence and stability of periodic solutions of semilinear neutral type systems

M. I. Gil'

Department of Mathematics

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

3 Scopus citations

Abstract

Forced periodic oscillations of coupled systems of semilinear neutral type functional differential equations are investigated. Explicit conditions for existence, uniqueness and stability of periodic solutions are derived. These conditions are formulated in terms of the roots of characteristic polynomials. In addition, estimates for periodic solutions and their derivatives are established.

Original language	English
Pages (from-to)	809-820
Number of pages	12
Journal	Discrete and Continuous Dynamical Systems
Volume	7
Issue number	4
DOIs	https://doi.org/10.3934/dcds.2001.7.809
State	Published - 1 Jan 2001

Keywords

Functional-differential equations
Nonlinear neutral systems
Orbital stability
Periodic solutions

ASJC Scopus subject areas

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.3934/dcds.2001.7.809

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title = "Existence and stability of periodic solutions of semilinear neutral type systems",

abstract = "Forced periodic oscillations of coupled systems of semilinear neutral type functional differential equations are investigated. Explicit conditions for existence, uniqueness and stability of periodic solutions are derived. These conditions are formulated in terms of the roots of characteristic polynomials. In addition, estimates for periodic solutions and their derivatives are established.",

keywords = "Functional-differential equations, Nonlinear neutral systems, Orbital stability, Periodic solutions",

author = "Gil', {M. I.}",

year = "2001",

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doi = "10.3934/dcds.2001.7.809",

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N2 - Forced periodic oscillations of coupled systems of semilinear neutral type functional differential equations are investigated. Explicit conditions for existence, uniqueness and stability of periodic solutions are derived. These conditions are formulated in terms of the roots of characteristic polynomials. In addition, estimates for periodic solutions and their derivatives are established.

AB - Forced periodic oscillations of coupled systems of semilinear neutral type functional differential equations are investigated. Explicit conditions for existence, uniqueness and stability of periodic solutions are derived. These conditions are formulated in terms of the roots of characteristic polynomials. In addition, estimates for periodic solutions and their derivatives are established.

KW - Functional-differential equations

KW - Nonlinear neutral systems

KW - Orbital stability

KW - Periodic solutions

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U2 - 10.3934/dcds.2001.7.809

DO - 10.3934/dcds.2001.7.809

M3 - Article

AN - SCOPUS:0035615875

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JO - Discrete and Continuous Dynamical Systems

JF - Discrete and Continuous Dynamical Systems

IS - 4

ER -

Existence and stability of periodic solutions of semilinear neutral type systems

Abstract

Keywords

ASJC Scopus subject areas

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