Successive Approximation Techniques in Non-Linear Boundary Value Problems

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F09%3A00330848" target="_blank" >RIV/67985840:_____/09:00330848 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Successive Approximation Techniques in Non-Linear Boundary Value Problems

Popis výsledku v původním jazyce

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 exercisesare also given.

Název v anglickém jazyce

Successive Approximation Techniques in Non-Linear Boundary Value Problems

Popis výsledku anglicky

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 exercisesare also given.

Druh

C - Kapitola v odborné knize

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/GA201%2F06%2F0254" target="_blank" >GA201/06/0254: Funkcionální diferenciální rovnice v Banachových prostorech</a><br>

Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2009

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název knihy nebo sborníku

Handbook of Differential Equations: Ordinary Differential Equations, 4

ISBN

978-0-444-53031-8

Počet stran výsledku

152

Strana od-do

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Počet stran knihy

702

Název nakladatele

Elsevier

Místo vydání

New York

Kód UT WoS kapitoly

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