Publication detail

On a nonlocal boundary value problem for first order linear functional differential equations

OPLUŠTIL, Z. LOMTATIDZE, A. ŠREMR, J.

Czech title

O nelokální okrajové úloze pro lineární funkcionální diferenciální rovnici prvního řádu

English title

On a nonlocal boundary value problem for first order linear functional differential equations

Type

journal article - other

Language

en

Original abstract

Efficient sufficient conditions are established for the solvability and unique solvability of the boundary value problem for first order linear functional differential equations. 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

Budou nalezeny efektivní podmínky pro řešitelnost a jednoznačnou řešitelnost okrajové úlohy pro lineární funkcionální diferenciální rovnici 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

Efficient sufficient conditions are established for the solvability and unique solvability of the boundary value problem for first order linear functional differential equations. 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 English

Boundary value problem, functional differential equations

Released

20.09.2007

Publisher

Publishing House GCI

ISSN

1512-0015

Journal

Memoirs Diff. Equat. Math. Phys

Volume

2007

Number

41

Pages from–to

69–85

Pages count

16

BIBTEX


@article{BUT43999,
  author="Zdeněk {Opluštil} and Aleksandre {Lomtatidze} and Jiří {Šremr},
  title="On a nonlocal boundary value problem for first order linear functional differential equations",
  journal="Memoirs Diff. Equat.  Math. Phys",
  year="2007",
  volume="2007",
  number="41",
  month="September",
  pages="69--85",
  publisher="Publishing House GCI",
  issn="1512-0015"
}