About: Successive Approximation Techniques in Non-Linear Boundary Value Problems

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	In this work we investigate the solvability and the approximate construction of solutions of certain types of regular non-linear boundary value problems for systems of ordinary differential equations on a compact interval. According to the scheme suggested, the solution is sought for as the limit of a uniformly convergent parametrised sequence of functions constructed in an analytical form and depending on the properties of concrete boundary conditions and non-linearities. The values of the numerical parameters introduced artificially into the scheme should then be determined by solving a certain system of algebraic or transcendental equations. The work consists of 10 sections, the theoretical results are illustrated by examples. A number of exercises are also given. In this work we investigate the solvability and the approximate construction of solutions of certain types of regular non-linear boundary value problems for systems of ordinary differential equations on a compact interval. According to the scheme suggested, the solution is sought for as the limit of a uniformly convergent parametrised sequence of functions constructed in an analytical form and depending on the properties of concrete boundary conditions and non-linearities. The values of the numerical parameters introduced artificially into the scheme should then be determined by solving a certain system of algebraic or transcendental equations. The work consists of 10 sections, the theoretical results are illustrated by examples. A number of exercises are also given. (en)
Title	Successive Approximation Techniques in Non-Linear Boundary Value Problems Successive Approximation Techniques in Non-Linear Boundary Value Problems (en)
skos:prefLabel	Successive Approximation Techniques in Non-Linear Boundary Value Problems Successive Approximation Techniques in Non-Linear Boundary Value Problems (en)
skos:notation	RIV/67985840:_____/09:00330848!RIV10-AV0-67985840
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA201/06/0254), Z(AV0Z10190503)
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Rontó, András
http://linked.open.../riv/druhVysledku	C - Kapitola v knize
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Matematický ústav AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	344665
http://linked.open...ai/riv/idVysledku	RIV/67985840:_____/09:00330848
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	functional-differential equation; special deviations of argument; linear boundary value problem (en)
http://linked.open.../riv/klicoveSlovo	functional-differential equation linear boundary value problem special deviations of argument
http://linked.open...ontrolniKodProRIV	[DD84150EF84F]
http://linked.open...i/riv/mistoVydani	New York
http://linked.open...i/riv/nazevZdroje	Handbook of Differential Equations: Ordinary Differential Equations, 4
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...v/pocetStranKnihy	702 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Functional differential equations in Banach spaces
http://linked.open...UplatneniVysledku	2009
http://linked.open...iv/tvurceVysledku	Rontó, András Ronto, M.
http://linked.open...n/vavai/riv/zamer	Rozvoj a prohloubení obecných matematických poznatků a jejich užití v dalších vědních oborech a v praxi
number of pages	152 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Elsevier
https://schema.org/isbn	978-0-444-53031-8
is http://linked.open...avai/riv/vysledek of	Successive Approximation Techniques in Non-Linear Boundary Value Problems Successive Approximation Techniques in Non-Linear Boundary Value Problems Successive Approximation Techniques in Non-Linear Boundary Value Problems Successive Approximation Techniques in Non-Linear Boundary Value Problems

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