About: Numerical-analytic technique for investigation of solutions of some nonlinear equations with Dirichlet conditions

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	The paper deals with approximate solutions of a nonlinear ordinary differential equation with homogeneous Dirichlet boundary conditions. We provide a scheme of numerical-analytic method based upon successive approximations constructed in analytic form. We give sufficient conditions for the solvability of the problem and prove the uniform convergence of the approximations to the parametrized limit function. We provide a justification of the polynomial version of the method with several illustrating examples. The paper deals with approximate solutions of a nonlinear ordinary differential equation with homogeneous Dirichlet boundary conditions. We provide a scheme of numerical-analytic method based upon successive approximations constructed in analytic form. We give sufficient conditions for the solvability of the problem and prove the uniform convergence of the approximations to the parametrized limit function. We provide a justification of the polynomial version of the method with several illustrating examples. (en)
Title	Numerical-analytic technique for investigation of solutions of some nonlinear equations with Dirichlet conditions Numerical-analytic technique for investigation of solutions of some nonlinear equations with Dirichlet conditions (en)
skos:prefLabel	Numerical-analytic technique for investigation of solutions of some nonlinear equations with Dirichlet conditions Numerical-analytic technique for investigation of solutions of some nonlinear equations with Dirichlet conditions (en)
skos:notation	RIV/49777513:23520/11:43895697!RIV13-MSM-23520___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(ME09109), Z(AV0Z10190503), Z(MSM4977751301)
http://linked.open...iv/cisloPeriodika	58
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Holubová, Gabriela Nečesal, Petr
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	Západočeská univerzita v Plzni / Fakulta aplikovaných věd
http://linked.open...dnocenehoVysledku	216855
http://linked.open...ai/riv/idVysledku	RIV/49777513:23520/11:43895697
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Chebyshev interpolation polynomials.; numerical-analytic method; nonlinear boundary value problem (en)
http://linked.open.../riv/klicoveSlovo	Chebyshev interpolation polynomials. nonlinear boundary value problem numerical-analytic method
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[0BCFEF2814E5]
http://linked.open...i/riv/nazevZdroje	Boundary Value Problems
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	4 (xsd:int)
http://linked.open...vavai/riv/projekt	Boundary value problems with jumping nonlinearities: Fučík spectrum of continuous and discrete operators
http://linked.open...UplatneniVysledku	2011
http://linked.open...v/svazekPeriodika	2011
http://linked.open...iv/tvurceVysledku	Nečesal, Petr Holubová, Gabriela Rontó, Andrei Rontó, Miklos
http://linked.open...ain/vavai/riv/wos	000300906600001
http://linked.open...n/vavai/riv/zamer	Rozvoj a prohloubení obecných matematických poznatků a jejich užití v dalších vědních oborech a v praxi Spojité a diskrétní matematické struktury a vývoj odpovídajících metod jejich zkoumání
issn	1687-2770
number of pages	20 (xsd:int)
http://bibframe.org/vocab/doi	10.1186/1687-2770-2011-58
http://localhost/t...ganizacniJednotka	23520

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