Publication detail

On nonnegative solutions of a certain boundary value problem for first order linear functional differential equations.

OPLUŠTIL, Z. LOMTATIDZE, A.

Czech title

O nezáporných řešeních okrajové úlohy pro lineární funkcionální diferenciální rovnice prvního řádu

English title

On nonnegative solutions of a certain boundary value problem for first order linear functional differential equations.

Type

journal article - other

Language

en

Original abstract

In certain sense unimprovable efficient conditions are established for the existence and uniqueness of a nonnegative solution 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 functional, q is a Lebesgue integrable function and c>0.

Czech abstract

Nalezení ,v jistém smyslu, nezlepšitelnývh podmínek pro existenci a jednoznačnost nezáporného řešení okrajové úlohy 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>0.

English abstract

In certain sense unimprovable efficient conditions are established for the existence and uniqueness of a nonnegative solution 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 functional, q is a Lebesgue integrable function and c>0.

Keywords in English

Functional differential equation, existnce, uniqueness, boundary value problem

Released

31.08.2004

Publisher

Univ. Szeged

Location

Szeged, Hungary

ISSN

1417-3875

Journal

Electronic Journal of Qualitative Theory of Differential Equations

Volume

2003

Number

16

Pages from–to

1–21

Pages count

21

BIBTEX


@article{BUT18129,
  author="Zdeněk {Opluštil} and Aleksandre {Lomtatidze},
  title="On nonnegative solutions of a certain boundary value problem for first order linear functional differential equations.",
  journal="Electronic Journal of Qualitative Theory of Differential Equations",
  year="2004",
  volume="2003",
  number="16",
  month="August",
  pages="1--21",
  publisher="Univ. Szeged",
  address="Szeged, Hungary",
  issn="1417-3875"
}