J 2002

Stability and asymptotic behaviour of a two-dimensional differential system with delay

KALAS, Josef and Lenka BARÁKOVÁ

Basic information

Original name

Stability and asymptotic behaviour of a two-dimensional differential system with delay

Authors

KALAS, Josef (203 Czech Republic, guarantor) and Lenka BARÁKOVÁ (203 Czech Republic)

Edition

Journal of Mathematical Analysis and Applications, USA, Acad.Press, 2002, 0022-247X

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

United States of America

Confidentiality degree

není předmětem státního či obchodního tajemství

Impact factor

Impact factor: 0.458

RIV identification code

RIV/00216224:14310/02:00006023

Organization unit

Faculty of Science

UT WoS

000176163100016

Keywords in English

Asymptotic behaviour; stability; boundedness of solutions; two-dimensional system; method of complexification; Lyapunov-Krasovskii functional.

Tags

Změněno: 29/3/2010 14:09, doc. RNDr. Josef Kalas, CSc.

Abstract

V originále

Stability and asymptotic behaviour of a real two-dimensional system with delay are studied. The method of investigation is based on the transformation of the considered real system to one equation with complex-valued coefficients. Stability and asymptotic propertis of this equation are studied by means of a suitable Lyapunov-Krasovskii functional.

Links

GA201/99/0295, research and development project
Name: Kvalitativní teorie diferenciálních rovnic
Investor: Czech Science Foundation, Qualitative theory of differential equations
MSM 143100001, plan (intention)
Name: Funkcionální diferenciální rovnice a matematicko-statistické modely
Investor: Ministry of Education, Youth and Sports of the CR, Functional-differential equations and mathematical-statistical models