On the "freezing" method for nonlinear nonautonomous systems with delay

Michael I. Gil'

doi:10.1155/S1048953301000247

On the "freezing" method for nonlinear nonautonomous systems with delay

Michael I. Gil'

Department of Mathematics

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

2 Scopus citations

Abstract

Nonlinear nonautonomous differential systems with delaying argument are considered. Explicit conditions for absolute stability are derived. The proposed approach is based on the generalization of the "freezing" method for ordinary differential equations.

Original language	English
Pages (from-to)	283-292
Number of pages	10
Journal	Journal of Applied Mathematics and Stochastic Analysis
Volume	14
Issue number	3
DOIs	https://doi.org/10.1155/S1048953301000247
State	Published - 1 Jan 2001

Keywords

Absolute Stability
Nonlinear
Retarded Systems
Time-Variant

ASJC Scopus subject areas

Statistics and Probability
Modeling and Simulation
Applied Mathematics

Access to Document

10.1155/S1048953301000247

Cite this

@article{f672277ca8ee4258b288dedabb71fc0f,

title = "On the {"}freezing{"} method for nonlinear nonautonomous systems with delay",

abstract = "Nonlinear nonautonomous differential systems with delaying argument are considered. Explicit conditions for absolute stability are derived. The proposed approach is based on the generalization of the {"}freezing{"} method for ordinary differential equations.",

keywords = "Absolute Stability, Nonlinear, Retarded Systems, Time-Variant",

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

year = "2001",

month = jan,

day = "1",

doi = "10.1155/S1048953301000247",

language = "English",

volume = "14",

pages = "283--292",

journal = "Journal of Applied Mathematics and Stochastic Analysis",

issn = "1048-9533",

publisher = "Hindawi Limited",

number = "3",

}

TY - JOUR

T1 - On the "freezing" method for nonlinear nonautonomous systems with delay

AU - Gil', Michael I.

PY - 2001/1/1

Y1 - 2001/1/1

N2 - Nonlinear nonautonomous differential systems with delaying argument are considered. Explicit conditions for absolute stability are derived. The proposed approach is based on the generalization of the "freezing" method for ordinary differential equations.

AB - Nonlinear nonautonomous differential systems with delaying argument are considered. Explicit conditions for absolute stability are derived. The proposed approach is based on the generalization of the "freezing" method for ordinary differential equations.

KW - Absolute Stability

KW - Nonlinear

KW - Retarded Systems

KW - Time-Variant

UR - http://www.scopus.com/inward/record.url?scp=52549084599&partnerID=8YFLogxK

U2 - 10.1155/S1048953301000247

DO - 10.1155/S1048953301000247

M3 - Article

AN - SCOPUS:52549084599

SN - 1048-9533

VL - 14

SP - 283

EP - 292

JO - Journal of Applied Mathematics and Stochastic Analysis

JF - Journal of Applied Mathematics and Stochastic Analysis

IS - 3

ER -

On the "freezing" method for nonlinear nonautonomous systems with delay

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this