Stability of a Functional Differential System with a Finite Number of Delays
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-19
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The paper is devoted to the study of asymptotic properties of a real two-dimensional differential system with unbounded nonconstant delays.
The sufficient conditions for the stability and asymptotic stability of solutions are given.
Used methods are based on the transformation of the considered real system to one equation with complex-valued coefficients.
Asymptotic properties are studied by means of Lyapunov-Krasovskii functional.
The results generalize some previous ones, where the asymptotic properties for two-dimensional systems with one or more constant delays or one nonconstant delay were studied.
American Psychological Association (APA)
Rebenda, Josef& Šmarda, Zdenĕk. 2013. Stability of a Functional Differential System with a Finite Number of Delays. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-503482
Modern Language Association (MLA)
Rebenda, Josef& Šmarda, Zdenĕk. Stability of a Functional Differential System with a Finite Number of Delays. Abstract and Applied Analysis No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-503482
American Medical Association (AMA)
Rebenda, Josef& Šmarda, Zdenĕk. Stability of a Functional Differential System with a Finite Number of Delays. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-503482
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-503482