About: Oscillatory and asymptotic properties of solutions of differential equations

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rdf:type	http://linked.opendata.cz/ontology/domain/vavai/Projekt
rdfs:seeAlso	http://www.isvav.cz/projectDetail.do?rowId=GA201/08/0469
Description	The principal concern of the project are asymptotic and oscillatory properties of solutions of ordinary and functional differential equations. A particular attention will be devoted to the problem of asymptotic and oscillatory properties of second order half-linear and quasilinear differential equations, the existence of bounded, positive and globally continuable solutions for delay differential systems and the stability theory for two-dimensional delay systems. The attention will be also paid to the asymptotic theory of first order dynamic equations as a natural unification of the theory for differential and difference equations. (en) Hlavním cílem projektu je vyšetřování asymptotických a oscilačních vlastností obyčejných a funkcionálních diferenciálních rovnic. Hlavní pozornost bude zaměřena na asymptotické a oscilační vlastnosti řešení pololineárních a kvazilineárních diferenciálních rovnic 2. řádu, problém existence kladných, ohraničených a globálně prodlužitelných řešení diferenciálních systémů se zpožděním a problém stability řešení dvoudimenzionálních systémů se zpožděním. Pozornost bude rovněž soustředěna na asymptotickou teorii dynamických rovnic 1. řádu, která přirozeným způsobem sjednocuje teorii pro diferenciální a diferenční rovnice.
Title	Oscillatory and asymptotic properties of solutions of differential equations (en) Oscilační a asymptotické vlastnosti řešení diferenciálních rovnic
skos:notation	GA201/08/0469
http://linked.open...avai/cep/aktivita	Standard projects
http://linked.open...kovaStatniPodpora	http://linked.opendata.cz/resource/domain/vavai/projekt/GA201%2F08%2F0469/celkovaStatniPodpora
http://linked.open...ep/celkoveNaklady	http://linked.opendata.cz/resource/domain/vavai/projekt/GA201%2F08%2F0469/celkoveNaklady
http://linked.open...datumDodatniDoRIV	2015-02-09 (xsd:date)
http://linked.open...i/cep/druhSouteze	VS - Veřejná soutěž ve výzkumu a vývoji
http://linked.open...ep/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open.../cep/fazeProjektu	82299312
http://linked.open...ai/cep/hlavniObor	BA - Obecná matematika
http://linked.open...hodnoceniProjektu	V - Vynikající výsledky (s mezinárodním významem apod.). Zároveň byly splněny cíle a předpokládané výsledky uvedené ve smlouvě / rozhodnutí o poskytnutí podpory.
http://linked.open...vai/cep/kategorie	ZV - Základní výzkum
http://linked.open.../cep/klicovaSlova	asymptotic properties; oscillatory properties (en)
http://linked.open...ep/partnetrHlavni	Přírodovědecká fakulta
http://linked.open...inujicichPrijemcu	0 (xsd:int)
http://linked.open...cep/pocetPrijemcu	1 (xsd:int)
http://linked.open...ocetSpoluPrijemcu	1 (xsd:int)
http://linked.open.../pocetVysledkuRIV	82 (xsd:int)
http://linked.open...enychVysledkuVRIV	82 (xsd:int)
http://linked.open...lneniVMinulemRoce	2010-04-16 (xsd:date)
http://linked.open.../prideleniPodpory	http://linked.opendata.cz/resource/domain/vavai/cep/prideleniPodpory/201%2F08%2F0469
http://linked.open...iciPoslednihoRoku	2010
http://linked.open...atUdajeProjZameru	2011
http://linked.open.../vavai/cep/soutez	SGA02008GA-ST
http://linked.open...usZobrazovaneFaze	DUU
http://linked.open...ai/cep/typPojektu	P - Projekt výzkumu a vývoje financovaný ze státního rozpočtu
http://linked.open...ep/ukonceniReseni	2010-12-31 (xsd:date)
http://linked.open...ep/zahajeniReseni	2008-01-01 (xsd:date)
http://linked.open...jektu+dodavatelem	Qualitative and oscillatory theory of second order half-linear and quasi-linear differential equations had been substantially developed. The so called perturbation principle in the half-linear oscillation theory had been applied. The key role is played there by the modified Riccati technique which allows also perturbations of the coefficient in the derivative term. In the field of quasi-linear eq (en) Podstaným způsobem se pokočilo v budování oscilační a asymptotické teorie pololineárních a kvazilineárních diferenciálních rovnic 2. řádu. Byl rozpracován tzv. perturbační princip v pololineární oscilační teorii, kdy studovaná rovnice je uvažovaná jako porucha rovnice stejného typu. Klíčovou roli zde hraje modifikovaná Riccatiho metoda, která mj. umožňuje studovat i poruchy v koeficientu členu ob (cs)
http://linked.open...tniCyklusProjektu	ZBKU
http://linked.open.../cep/klicoveSlovo	asymptotic properties
is http://linked.open...vavai/riv/projekt of	Asymptotic properties of one differential equation with unbounded delay On the asymptotics of the trapezoidal rule for the pantograph equation A note on asymptotic estimate for difference equation with several proportional delays The differential equation with a power delay and its numerical discretizations The \theta-methods for the delay differential equations On (q,h) - analogue of fractional calculus Note on a discretization of a linear fractional differential equation Asymptotic bounds for linear difference systems On a linear difference equation with several infinite lags Controllability of oscillating systems of second order Oscillation of solutions of a linear second order discrete delayed equation. Oscillation of solutions of a linear second order discrete delayed equation. Oscillation of Solutions of a Linear Second Order Discrete Delayed Equation On oscillation of solutions of linear second order discrete delayed equations Oscilation of solutions of a linear second order discrete delayed equation Exponential stability and estimation of solutions of linear differential systems with constant delay of neutral type Multipoint singular boundary-value problem for systems of nonlinear differential equations A criterion for existence of positive solutions of the equation y'(t)=-p(t)y^{alpha}(t-r) Retract principle for neutral functional differential equations Asymptotic behavior of one auxiliary system Application of the First Lyapunov Method for Delayed Differential Equation Asymptotic integration of delayed differential equation Ocenki vazmuščenij rešenij uravnenij nejtralnovo tipa Stability and estimation of solutions of linear differential systems with constant coefficients of neutral type Stability and estimation of solutions of linear differential systems with constant coefficients of neutral type II. On connection between second-order delay differential equations and integro-differential equations with delay Control of oscillating systems with a single delay. Estimates of perturbed solutions of neutral type equations Existence of positive solutions of discrete linear equations with a single delay Optimization Methods of Investigation of Stability of Systems of Neutral Type Positive Solutions of a Second-Order Delay Differential Equations with a Damping Term Boundary Value Problems for Delay Differential Systems On the Critical Case in Oscillation for Differential Equations with a Single Delay and with Several Delays Estimates of perturbed nonlinear systems of indirect control of neutral type The system of linnear differential equations with constsnt coefficients and constant delay Asymptotic properties of delayed exponential of matrix Asymptotic properties of delayed exponential of matrix Remark on retract primciple for netral functional differential equations System of linear differential equations of second order with constant coefficients and constant delay Asymptotic behaviour of a two-dimensional differential system with a nonconstant delay uder the conditions of instability Asymptotic estimate for differential equation with power coefficients and power delays The stability and asymptotic properties of the Theta-methods for the pantograph equation The stability analysis of a discretized pantograph equation Unbounded solutions of third order delayed differential equations with damping term.Central A route to Routh—the parametric problem. Critical oscillation constant for half-linear differential equations with periodic coefficients Half-linear oscillation criteria: Perturbation in term involving derivative Existence of global solutions for systems of second-order functional-differential equations with p-Laplacian Asymptotic properties of a two-dimensional differential system with a bounded nonconstant delay under the conditions of instability The strong nonlinear limit-point/limit-circle properties for a class of even order equations Large time behavior of solutions to second-order differential equations with p-Laplacian. Minimal solution of a Riccati type differential equation Principal and nonprincipal solutions in the oscillation theory of half-linear differential equations On noncontinuable solutions of differential equations with delay Bargmann-type inequality for half-linear differential operators On oscillation and nonoscillation properties of Emden-Fowler difference equations Asymptotic behaviour of solutions of real two-dimensional differential system with nonconstant delay. Oscillatory properties of second order nonlinear differential equations Asymptotic problems for differential equations with bounded Phi-Laplacian Oscillation for third-order nonlinear differential equations with deviating argument. On second-order differential equations with nonhomogeneous Phi-Laplacian, A remark on an oscillation constant in the half-linear oscillation theory Oscillatory properties of second order nonlinear differential equations.

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