About: Difference equations and dynamic equations on time scales II

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Projekt, within Data Space : linked.opendata.cz associated with source document(s)

Attributes	Values
rdf:type	http://linked.opendata.cz/ontology/domain/vavai/Projekt
rdfs:seeAlso	http://www.isvav.cz/projectDetail.do?rowId=GA201/07/0145
Description	The project is a continuation of the project with the same title which started in 2004 and will be finished this year (project 201/04/0580 of GAČR). The research team is similar to the %22old'' project group and the main attention will be aimed to the directions where we achieved substantial results in the recent period. In particular, we will focus our attention to the following particular topics: - qualitative theory of second order linear, half-linear, and quasilinear difference equations; - symplectic difference systems and associated Riccati matrix equations with applications of obtained results in the theory of second order optimality conditions; - asymptotic properties of solutions of linear and nonlinear difference systems, including delayed systems; - symplectic dynamic systems on time scales, unifying theory of differential and diference systems; - qualitative theory of second order dynamic equations on time scales. (en) Projekt navazuje na stejnojmenný projekt 201/04/0580. Pozornost bude zaměřena na podobnou problematiku, budou akcentovány směry, kde bylo v předchozím období dosaženo významných výsledků. Zejména se budeme soustředit na následující speciální okruhy: - kvalitativní teorie lineárních, pololineárních a kvazilineárních diferenčních rovnic 2. řádu; - symplektické diferenční systémy a příslušející Riccatiho maticové rovnice s aplikacemi výsledků v teorii podmínek optimality 2. řádu; - asymptotické vlastnosti řešení lineárních a nelineárních diferenčních systémů, včetně systémů se zpožděním; - symplektické sytémy na time scales, budování sjednocující teorie diferenciálních a diferenčních systémů; - kvalitativní teorie dynamických rovnic 2. řádu na time scales.
Title	Difference equations and dynamic equations on time scales II (en) Diferenční rovnice a dynamické rovnice na ,,time scales'' II
skos:notation	GA201/07/0145
http://linked.open...avai/cep/aktivita	Standard projects
http://linked.open...kovaStatniPodpora	http://linked.opendata.cz/resource/domain/vavai/projekt/GA201%2F07%2F0145/celkovaStatniPodpora
http://linked.open...ep/celkoveNaklady	http://linked.opendata.cz/resource/domain/vavai/projekt/GA201%2F07%2F0145/celkoveNaklady
http://linked.open...datumDodatniDoRIV	2015-01-22 (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	65673906
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	symplectic system; quadratic functional; Riccati equation; half-linear equation; asymptotic theory (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	2 (xsd:int)
http://linked.open.../pocetVysledkuRIV	86 (xsd:int)
http://linked.open...enychVysledkuVRIV	86 (xsd:int)
http://linked.open...lneniVMinulemRoce	2009-04-22 (xsd:date)
http://linked.open.../prideleniPodpory	http://linked.opendata.cz/resource/domain/vavai/cep/prideleniPodpory/201%2F07%2F0145
http://linked.open...iciPoslednihoRoku	2009
http://linked.open...atUdajeProjZameru	2010
http://linked.open.../vavai/cep/soutez	SGA02007GA-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	2009-12-31 (xsd:date)
http://linked.open...ep/zahajeniReseni	2007-01-01 (xsd:date)
http://linked.open...jektu+dodavatelem	. (en) Řešení probíhalo v souladu s původním plánem a byla získána celá řada kvalitních výsledků s výstupy do publikací ve významných mezinárodních časopisech. (cs)
http://linked.open...tniCyklusProjektu	ZBKU
http://linked.open.../cep/klicoveSlovo	symplectic system Riccati equation half-linear equation quadratic functional
is http://linked.open...vavai/riv/projekt of	On the differential and difference equation with a power delayed argument Bounded solutions of systems of dynamic equations on time scales. Controllability of linear discrete systems with constant coefficients and pure delay, IF=1,288. Oscillation of Solutions of a Linear Second Order Discrete Delayed Equation On oscillation of solutions of linear second order discrete delayed equations Representation of solutions of linear discrete systems with constant coefficients, a single delay and with impulses Construction of the general solution of planar linear discrete systems with constant coefficients and weak delay Oscilation of solutions of a linear second order discrete delayed equation Asymptotic properties of solutions of the discrete analogue of the Emden-Fowler equation Combination of Liapunov and retract methods in the investigation of the asymptotic behavior of solutions of systems of discrete equations Wazewskis method for systems of dynamic equations on time scales On connection between second-order delay differential equations and integro-differential equations with delay Oscillation of solutions of a linear second-order discrete delayed equation. Existence of positive solutions of discrete linear equations with a single delay Positive Solutions of a Second-Order Delay Differential Equations with a Damping Term Regularly varying sequences and second order difference equations A Riccati technique for proving oscillation of a half-linear equation Regular variation on time scales and dynamic equations Comparison of nonlinearities in oscillation theory of half-linear differential equations Second Order Linear Difference Equations and Karamata Sequences Rapidly varying decreasing solutions of half-linear difference equations Extension of discrete LQR-problem to symplectic systems On the (im)possibility of a predator-prey model identification Estimation of Parameters for a Predator-Prey Community On Orthogonal and Unitary Almost Periodic Homogeneous Linear Difference Systems A note on the time scale calculus of variations problems A telescoping principle for oscillation of the second order half-linear dynamic equations on time scales Perturbation of time scale quadratic functionals with variable endpoints Critical higher order Sturm-Liouville difference operators Deterministic models and identification of their parameters. Biological protection of plants - a model and its parameters Ordinary differential equations in the oscillation theory of partial half-linear differential equation Oscillation theory of partial differential equations with p-Laplacian Summation Characterization of the Recessive Solution for Half-Linear Difference Equations On positivity of the three term 2n-order difference operators Conjugacy criteria for half-linear ODE in theory of PDE with generalized p-Laplacian and mixed powers Riccati equations for abnormal time scale quadratic functionals Terminal value problems for first and second order nonlinear equations on time scales An identification of a predator-prey model. A simulation study. Linearized Riccati technique and (non)oscillation criteria for half-linear difference equations Principal solution of half-linear differential equation: Limit and integral characterization Oscillatory properties for three-dimensional dynamic systems Conditionally oscillatory half-linear differential equations Conditional oscillation of half-linear differential equations with periodic coefficients Intermediate solutions of Emden-Fowler type equations: continuous versus discrete On the growth of nonoscillatory solutions for difference equations with deviating argument Construction of almost periodic sequences with given properties Weak maximum principle and accessory problem for control problems on time scales Oscillation results for time scale symplectic systems Differentiation of solutions of dynamic equations on time scales with respect to parameters Multiplicities of focal points for discrete symplectic systems: revisited Definiteness of quadratic functionals for Hamiltonian and symplectic systems: A survey Trigonometric and hyperbolic systems on time scales Picone type identities and definiteness of quadratic functionals on time scales Sturmian and spectral theory for discrete symplectic systems Friedrichs extension of operators defined by symmetric banded matrices Nonprincipal solutions of half-linear second order differential equations Dynamic replicator equation and its transformation Summation characterization of the recessive solution of half-linear difference equations Perturbation principle in discrete half-linear oscillation theory

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