On finfing solutions of two-point boundary value problems for a class of non-linear functional differential systems

Kód výsledku v IS VaVaI

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Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

On finfing solutions of two-point boundary value problems for a class of non-linear functional differential systems

Popis výsledku v původním jazyce

We consider the two-point boundary value problems for a certain class of non-linear functional differential equations. To study the problem, we use a method based upon a special type of successive approximations that are constructed analytically and, under suitable conditions, converge uniformly on the given interval. Our techniques lead one to a certain finite-dimensional system of numerical determining equations that "detect" all the solutions of the problem. Based on properties of these equations, wegive efficient conditions ensuring the solvability of the original problem. The conditions are formulated in terms of functions that are potential candidates for approximate solutions and, being such, are constructed explicitly.

Název v anglickém jazyce

On finfing solutions of two-point boundary value problems for a class of non-linear functional differential systems

Popis výsledku anglicky

We consider the two-point boundary value problems for a certain class of non-linear functional differential equations. To study the problem, we use a method based upon a special type of successive approximations that are constructed analytically and, under suitable conditions, converge uniformly on the given interval. Our techniques lead one to a certain finite-dimensional system of numerical determining equations that "detect" all the solutions of the problem. Based on properties of these equations, wegive efficient conditions ensuring the solvability of the original problem. The conditions are formulated in terms of functions that are potential candidates for approximate solutions and, being such, are constructed explicitly.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

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Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2012

Kód důvěrnosti údajů

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

Název periodika

Electronic Journal of Qualitative Theory of Differential Equations.

ISSN

1417-3875

e-ISSN

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Svazek periodika

13

Číslo periodika v rámci svazku

May 04

Stát vydavatele periodika

HU - Maďarsko

Počet stran výsledku

17

Strana od-do

1-17

Kód UT WoS článku

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EID výsledku v databázi Scopus

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