About: Qualitative theory of differential equations

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rdfs:seeAlso	http://www.isvav.cz/projectDetail.do?rowId=GA201/99/0295
Description	Qualitative properties of linear and nonlinear differential equations and theirs systems and some classes of functional-differential equations will be investigated. The attention will be paid to problems of the existence of solutions for boundary-value problems and to applications of the theory of boundary-value problems for studying of asymptotic properties of solutions. (en) Budou vyšetřovány kvalitativní vlastnosti lineárních a nelineárních diferenciálních rovnic a jejich systémů a některých typů funkcionálně-diferenciálních rovnic. Pozornost bude věnována existenci řešení okrajových úloh a využití teorie okrajových úloh pro studium asymptotických vlastností řešení počáteční úlohy.
Title	Qualitative theory of differential equations (en) Kvalitativní teorie diferenciálních rovnic
skos:notation	GA201/99/0295
http://linked.open...avai/cep/aktivita	Standard projects
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http://linked.open...datumDodatniDoRIV	2003-04-01 (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	743403
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.../cep/klicovaSlova	Neuvedeno. (en)
http://linked.open...ep/partnetrHlavni	Přírodovědecká fakulta
http://linked.open...inujicichPrijemcu	0 (xsd:int)
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http://linked.open...iciPoslednihoRoku	2002
http://linked.open...atUdajeProjZameru	2002
http://linked.open...usZobrazovaneFaze	DUU
http://linked.open...ai/cep/typPojektu	P - Projekt výzkumu a vývoje financovaný ze státního rozpočtu
http://linked.open...jektu+dodavatelem	Všechny vytyčené cíle projektu byly beze zbytku splněny. Vynikající publikační činnost (seznam obsahuje celkem 119 položek). Všechny řešitelské kolektivy byly zapojeny aktivně do plnění úkolu. Významná mezinárodní spolupráce a zapojení 10 studentů doktor (cs)
http://linked.open...tniCyklusProjektu	ZBKU
is http://linked.open...vavai/riv/projekt of	A note on a generalization of Diliberto's theorem for certain differential equations of higher dimension Equivalency for disconjugate operators Generalized discrete Riccati equation and oscillation of half-linear difference equations Generalized discrete Riccati equation and oscillation of half-linear difference equations Functional and differential equations. Functional and differential equations. Linear Hamiltonian dynamic systems on time scales: Sturmian property of principal solution Comparison theorems and strong oscillation in the half-linear discrete oscillation theory A class of Sturm-Liouville difference equations: (non)oscillation constants and property BD On a boundary value problem for first-order scalar functional differential equations On a two-point boundary value problem for second order ordinary differential equations with singularities On a two-point boundary value problem for second order singular equations On an antiperiodic type boundary value problem for first order nonlinear functional differential equations of non-Volterraď s type A General Construction of Linear Differential Equations with Solutions of Prescribed Properties On nonnegative solutions of a periodic type boundary value problem for first order scalar functional differential equations Disconjugacy and disfocality criteria for second order singular half-linear differential equations Criteria for asymptotics constanccccy of solutions of delayed differential equations Positive and oscilating solutions of linear differential equations in the critical case Positive solutions of the equations x'(t)=-c(t)x(t-T) in the critical case Three-point singular boundary-value problem Hartman-Wintner type lemma, oscillation and conjugacy criteria for half-linear difference equations Half-linear discrete oscillation theory Qualitative Properties of Equivalent Differential Equations. Nonoscillation criteria for half-linear second order difference equations On nonnegative solutions of first order scalar functional differential equations On existence of singular solutions of n-th order differential equations On decaying solutions for functional differential equations with p-Laplacian On the definitions of the nonlinear limit-point/limit-circle properties On the definitions of the nonlinear limit-point/limit-circle propertiesdiferential On nonoscillatory solutions of fourth-order differential equations On nonoscillatory solutions of differential equations with p-Laplacian Oscillation and nonoscillation criteria for second order linear difference equations Oscillation criteria for second order half-linear difference equations On periodic solutions of first order nonlinear functional differential equations of non-Volterra.and.s type. Nonexistence of positive solutions of PDE.and.s with p-Laplacian. Reid roundabout theorem for symplectic dynamic systems on time scales A note on the Cauchy problem for first order linear functional differential equations with a deviating argument. Logistic equation on measure chain On existence of singular solutions On periodic solutions of first order linear functional differential equations On a periodic-type boundary value problem for first order nonlinear functional differential equations Oscillation and nonoscillation of higher order self-adjoint differential equations Oscillatory properties of higher order Sturm-Liouville differential equation On a periodic type boundary value problem for first order linear functional differential equations On an antiperiodic type boundary value problem for first order linear functional differential equations. On constant sign solutions of a periodic type boundary value problem for firstorder functional differential equations. On Cauchy problem for first order nonlinear functional differential equations of non-Volterra.and.s type. Optimal conditions on unique solvability of the Cauchy problem for the first order linear functional differential equations. New optimal conditions for unique solvability of the Cauchy problem for first order linear functional differential equations. Asymptotic representation of solutions of equation y'(t)=b(t)(y(t)-y(t-T)) Upper and lower solutions of boundary value problems for functional differential equations and theorems on functional differential inequalities. A criterion of asymptotic convergence for a class of nonlinear diffferential equations with delay An Existence Criterion of Positive Solutions of p-type Retarded Functional Differential Equations Positive solutions of delayed linear differential equations Positive solutions of retarded functional differential equations Positive and oscillating solutions of equation x'(t)= -c(t)x(t-T) Positive solutions of a singular Cauchy problem for a nonlinear system of differential equations The stability of the trivial solution of the differential equation system with quadratic right-hand sides Asymptotic behaviour of oscillatory solutions of a fourth-order nonlinear differential equation Asymptotic behaviour of solutions of a third order nonlinear differential equations Asymptotic methods of a solution for systems of nonlinear integro-differential equations with a small parameter Asymptotic expansions of a solution of a nonlinear integro-differential equations with a small parameter A criterion for convergence of solutions of homogeneous delay linear differential equations A criterion for existence of positive solutions of systems of retarded functional differential equations A remark on the half-linear extension of the Hartman-Winter theorem. Existence of positive solutions for a system of linear differential equations with delay On the permanence of non-autonomous competitive system On existence of oscillatory solutions of n-th order differential equations with quasiderivatives The nonlinear limit-point/limit-circle problem for higher order equations Multipoints singular boundary-value problem for system of differential equations Multipoint singular boundary value-problem

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