About: Asymptotic behaviour of a two-dimensional differential system with a nonconstant delay uder the conditions of instability

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Several results dealing with the asymptotic behaviour of a real nonlinear two-dimensional system with a finite number of bounded nonconstant delays under the assumption of instability are presented. Conditions for the instable properties of solutions together with the conditions for the existence of bounded solutions are given. The methods are based on the transformation of the real system considered to one equation with complex-valued coefficients. Asymptotic properties are studied by means of a suitable Lyapunov-Krasovskii functional and the Wazewski topological principle. The results generalize some previous ones, where the asymptotic properties for two-dimensional systems with one constant or nonconstant delay were studied. Several results dealing with the asymptotic behaviour of a real nonlinear two-dimensional system with a finite number of bounded nonconstant delays under the assumption of instability are presented. Conditions for the instable properties of solutions together with the conditions for the existence of bounded solutions are given. The methods are based on the transformation of the real system considered to one equation with complex-valued coefficients. Asymptotic properties are studied by means of a suitable Lyapunov-Krasovskii functional and the Wazewski topological principle. The results generalize some previous ones, where the asymptotic properties for two-dimensional systems with one constant or nonconstant delay were studied. (en)
Title	Asymptotic behaviour of a two-dimensional differential system with a nonconstant delay uder the conditions of instability Asymptotic behaviour of a two-dimensional differential system with a nonconstant delay uder the conditions of instability (en)
skos:prefLabel	Asymptotic behaviour of a two-dimensional differential system with a nonconstant delay uder the conditions of instability Asymptotic behaviour of a two-dimensional differential system with a nonconstant delay uder the conditions of instability (en)
skos:notation	RIV/00216224:14310/11:00049799!RIV12-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	2
http://linked.open...vai/riv/dodaniDat	2012
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	187374
http://linked.open...ai/riv/idVysledku	RIV/00216224:14310/11:00049799
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	CZ - Česká republika
http://linked.open...ontrolniKodProRIV	[BA64252A0CDA]
http://linked.open...i/riv/nazevZdroje	Mathematica Bohemica
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	2011
http://linked.open...v/svazekPeriodika	136
http://linked.open...iv/tvurceVysledku	Kalas, Josef Rebenda, Josef
issn	0862-7959
number of pages	10 (xsd:int)
http://localhost/t...ganizacniJednotka	14310
is http://linked.open...avai/riv/vysledek of	Asymptotic behaviour of a two-dimensional differential system with a nonconstant delay uder the conditions of instability Asymptotic behaviour of a two-dimensional differential system with a nonconstant delay uder the conditions of instability

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