About: Asymptotic behaviour of solutions of real two-dimensional differential system with nonconstant delay in an unstable case

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	The asymptotic behaviour for the solutions of a real two-dimensional system with a bounded nonconstant delay is studied under the assumption of instability. Our results improve and complement previous results by J. Kalas, where the sufficient conditions assuring the existence of bounded solutions or solutions tending to origin for t approaching infinity are given. The method of investigation is based on the transformation of the considered real system to one equation with complex-valued coefficients. Asymptotic properties of this equation are studied by means of a suitable Lyapunov-Krasovskii functional and by virtue of the Wazewski topological principle. The asymptotic behaviour for the solutions of a real two-dimensional system with a bounded nonconstant delay is studied under the assumption of instability. Our results improve and complement previous results by J. Kalas, where the sufficient conditions assuring the existence of bounded solutions or solutions tending to origin for t approaching infinity are given. The method of investigation is based on the transformation of the considered real system to one equation with complex-valued coefficients. Asymptotic properties of this equation are studied by means of a suitable Lyapunov-Krasovskii functional and by virtue of the Wazewski topological principle. (en)
Title	Asymptotic behaviour of solutions of real two-dimensional differential system with nonconstant delay in an unstable case Asymptotic behaviour of solutions of real two-dimensional differential system with nonconstant delay in an unstable case (en)
skos:prefLabel	Asymptotic behaviour of solutions of real two-dimensional differential system with nonconstant delay in an unstable case Asymptotic behaviour of solutions of real two-dimensional differential system with nonconstant delay in an unstable case (en)
skos:notation	RIV/00216224:14310/12:00057247!RIV13-GA0-14310___
http://linked.open...avai/predkladatel	Přírodovědecká fakulta
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(GA201/08/0469)
http://linked.open...iv/cisloPeriodika	8
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Rebenda, Josef Kalas, Josef
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Masarykova univerzita / Přírodovědecká fakulta
http://linked.open...dnocenehoVysledku	123966
http://linked.open...ai/riv/idVysledku	RIV/00216224:14310/12:00057247
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Delayed differential equations; asymptotic behaviour; boundedness of solutions; Lyapunov method; Wazewski topological principle (en)
http://linked.open.../riv/klicoveSlovo	Lyapunov method Wazewski topological principle asymptotic behaviour boundedness of solutions Delayed differential equations
http://linked.open...odStatuVydavatele	HU - Maďarsko
http://linked.open...ontrolniKodProRIV	[B70E58626F24]
http://linked.open...i/riv/nazevZdroje	Electronic Journal of Qualitative Theory of Differential Equations
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Oscillatory and asymptotic properties of solutions of differential equations
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	Neuveden
http://linked.open...iv/tvurceVysledku	Kalas, Josef Rebenda, Josef
http://linked.open...ain/vavai/riv/wos	000299620000001
issn	1417-3875
number of pages	19 (xsd:int)
http://localhost/t...ganizacniJednotka	14310
is http://linked.open...avai/riv/vysledek of	Asymptotic behaviour of solutions of real two-dimensional differential system with nonconstant delay in an unstable case

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