KALAS, Josef and Lenka BARÁKOVÁ. Stability and asymptotic behaviour of a two-dimensional differential system with delay. Journal of Mathematical Analysis and Applications. USA: Acad.Press, 2002, vol. 269, No 1, p. 278-300. ISSN 0022-247X.
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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
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher United States of America
Confidentiality degree is not subject to a state or trade secret
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 Asymptotic behaviour, boundedness of solutions, Lyapunov-Krasovskii functional., method of complexification, stability, two-dimensional system
Changed by Changed by: doc. RNDr. Josef Kalas, CSc., učo 910. Changed: 29/3/2010 14:09.
Abstract
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 projectName: 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
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