Publication detail

Solvability conditions for a nonlocal boundary value problem for linear functional differential equations

OPLUŠTIL, Z. LOMTATIDZE, A. ŠREMR, J.

Original Title

Solvability conditions for a nonlocal boundary value problem for linear functional differential equations

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.

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

Functional differential equation, solvability, boundary value problem

RIV year

2009

Released

01.06.2009

Publisher

Poznan University of Technology

Location

Poland

Pages from

81

Pages to

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",
  annote="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.
",
  address="Poznan University of Technology",
  chapter="44000",
  institution="Poznan University of Technology",
  journal="Fasciculi Mathematici",
  number="41",
  volume="2009",
  year="2009",
  month="june",
  pages="81--96",
  publisher="Poznan University of Technology",
  type="journal article - other"
}