"[831585595872]" . . "On a discretization of some delay differential equations"@en . "Bratislava" . "O diskretizaci n\u011Bkter\u00FDch diferenci\u00E1ln\u00EDch rovnic se zpo\u017Ed\u011Bn\u00FDm argumentem" . "Bratislava" . "V \u010Dl\u00E1nku jsou prezentov\u00E1na n\u011Bkter\u00E1 \u00FAskal\u00ED p\u0159i numerick\u00E9m \u0159e\u0161en\u00ED dife\\-ren\\-ci\u00E1ln\u00ED rovnice y'(t)=ay(t)+by(tau(t)) s konstantn\u00EDmi koeficienty a zpo\u017Ed\u011Bn\u00FDm argumentem. Poslou\\-pnost p\u0159ibli\u017En\u00FDch hodnot \u0159e\u0161en\u00ED dan\u00E9 rovnice v uzlov\u00FDch bodech (ur\u010Den\u00E1 pomoc\u00ED jist\u00E9 konvergentn\u00ED numerick\u00E9 metody) toti\u017E vykazuje tendenci konvergovat k nule (\u010Di dokonce tendenci b\u00FDt nulovou posloupnost\u00ED od jist\u00E9ho indexu). To je v\u0161ak v rozporu s p\u0159\u00EDslu\u0161n\u00FDmi kvalitativn\u00EDmi v\u00FDsledky teorie diferenci\u00E1ln\u00EDch rovnic se zpo\u017Ed\u011Bn\u00EDm, podle kteer\u00FDch \u017E\u00E1dn\u00E9 netrivi\u00E1ln\u00ED \u0159e\u0161en\u00ED t\u00E9to rovnice nen\u00ED ohrani\u010Den\u00E9. Hlavn\u00EDm c\u00EDlem \u010Dl\u00E1nku je tyto rozpory vysv\u011Btlit, a to za p\u0159isp\u011Bn\u00ED kvalitativn\u00ED teorie diferen\u010Dn\u00EDch rovnic."@cs . . "Slovensk\u00E1 technick\u00E1 univerzita v Bratislave. Strojn\u00EDcka fakulta. Katedra matematiky" . "2004-02-04+01:00"^^ . "Kundr\u00E1t, Petr" . "On a discretization of some delay differential equations"@en . . "26210" . "O diskretizaci n\u011Bkter\u00FDch diferenci\u00E1ln\u00EDch rovnic se zpo\u017Ed\u011Bn\u00FDm argumentem"@cs . . "RIV/00216305:26210/04:PU47659" . "615-620" . "delay differential equation"@en . . . "O diskretizaci n\u011Bkter\u00FDch diferenci\u00E1ln\u00EDch rovnic se zpo\u017Ed\u011Bn\u00FDm argumentem" . . . . . "80-227-1995-1" . "In the paper we present some problems of the numerical solution of delay differential equation y'(t)=ay(t)+by(tau(t)) with constant coefficients. The sequence of approximate values of a solution of the given equation (determined by a convergent numerical method) seems to be tending to zero (furthermore, to be a zero sequence from some index). However, this contradicts the corresponding qualitative results of the theory of delay differential equations; by these results every nontrivial solution has to bbe unbounded. The main goal of the paper is to explain these contradictions using a qualitative theory of difference equations."@en . "P(IAA1019902)" . "1"^^ . "O diskretizaci n\u011Bkter\u00FDch diferenci\u00E1ln\u00EDch rovnic se zpo\u017Ed\u011Bn\u00FDm argumentem"@cs . "1"^^ . . "3rd International Conference Aplimat" . "577016" . "RIV/00216305:26210/04:PU47659!RIV/2005/AV0/262105/N" . . . "V \u010Dl\u00E1nku jsou prezentov\u00E1na n\u011Bkter\u00E1 \u00FAskal\u00ED p\u0159i numerick\u00E9m \u0159e\u0161en\u00ED dife\\-ren\\-ci\u00E1ln\u00ED rovnice y'(t)=ay(t)+by(tau(t)) s konstantn\u00EDmi koeficienty a zpo\u017Ed\u011Bn\u00FDm argumentem. Poslou\\-pnost p\u0159ibli\u017En\u00FDch hodnot \u0159e\u0161en\u00ED dan\u00E9 rovnice v uzlov\u00FDch bodech (ur\u010Den\u00E1 pomoc\u00ED jist\u00E9 konvergentn\u00ED numerick\u00E9 metody) toti\u017E vykazuje tendenci konvergovat k nule (\u010Di dokonce tendenci b\u00FDt nulovou posloupnost\u00ED od jist\u00E9ho indexu). To je v\u0161ak v rozporu s p\u0159\u00EDslu\u0161n\u00FDmi kvalitativn\u00EDmi v\u00FDsledky teorie diferenci\u00E1ln\u00EDch rovnic se zpo\u017Ed\u011Bn\u00EDm, podle kteer\u00FDch \u017E\u00E1dn\u00E9 netrivi\u00E1ln\u00ED \u0159e\u0161en\u00ED t\u00E9to rovnice nen\u00ED ohrani\u010Den\u00E9. Hlavn\u00EDm c\u00EDlem \u010Dl\u00E1nku je tyto rozpory vysv\u011Btlit, a to za p\u0159isp\u011Bn\u00ED kvalitativn\u00ED teorie diferen\u010Dn\u00EDch rovnic." . "6"^^ . .