Publication detail
Solvability conditions for a nonlocal boundary value problem for linear functional differential equations
OPLUŠTIL, Z. LOMTATIDZE, A. ŠREMR, J.
Czech title
Podmímky řešitelnosti nelokální okrajové úlohy pro lineární funkcionální diferenciální rovnice
English title
Solvability conditions for a nonlocal boundary value problem for linear functional differential equations
Type
journal article - other
Language
en
Original abstract
The aim of the paper is to find efficient conditions for the unique solvability of the problem u'(t)=l(u)(t)+q(t) u(a)=h(u)+c, where l is a linear bounded operator, h is a linear bounded functionals, q is a Lebesgue integrable function and c is a real number.
Czech abstract
Nalezení efektivních podmínek pro jednoznačnou řešitelnost problému u'(t)=l(u)(t)+q(t) u(a)=h(u)+c, kde l je lineární ohraničený operátor, h je lineární ohraničený funkcionál, q je Lebesguevsky integrovatelná funkce a c je reálné číslo.
English abstract
The aim of the paper is to find efficient conditions for the unique solvability of the problem u'(t)=l(u)(t)+q(t) u(a)=h(u)+c, where l is a linear bounded operator, h is a linear bounded functionals, q is a Lebesgue integrable function and c is a real number.
Keywords in Czech
Funkcionální diferenciální rovnice, řešitelnost, okrajový problém
Keywords in English
Functional differential equation, solvability, boundary value problem
RIV year
2009
Released
01.06.2009
Publisher
Poznan University of Technology
Location
Poland
ISSN
0044-4413
Journal
Fasciculi Mathematici
Volume
2009
Number
41
Pages from–to
81–96
Pages count
15
BIBTEX
@article{BUT44000,
author="Zdeněk {Opluštil} and Aleksandre {Lomtatidze} and Jiří {Šremr},
title="Solvability conditions for a nonlocal boundary value problem for linear functional differential equations",
journal="Fasciculi Mathematici",
year="2009",
volume="2009",
number="41",
month="June",
pages="81--96",
publisher="Poznan University of Technology",
address="Poland",
issn="0044-4413"
}