Publication detail

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

OPLUŠTIL, Z.

Czech title

Řešitelnost nelokální okrajové úlohy pro lineární funkcionální diferenciální rovnice

English title

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

Type

journal article - other

Language

en

Original abstract

In the paper, the problem on the existence and uniqueness of a solution to the nonlocal problem u'(t)=l(u)(t)+q(t), u(a)=h(u)+c is studied. They are found conditions guaranteeing the unique solvability of considered problem.

Czech abstract

Je studována problematika existence a jednoznačnosti nelokální okrajové úlohy u'(t)=l(u)(t)+q(t), u(a)=h(u)+c. Jsou nalezeny podmínky zaručující jednoznačnou řešitelnost zvažované úlohy.

English abstract

In the paper, the problem on the existence and uniqueness of a solution to the nonlocal problem u'(t)=l(u)(t)+q(t), u(a)=h(u)+c is studied. They are found conditions guaranteeing the unique solvability of considered problem.

Keywords in Czech

Funkcionální diferenciální rovnice, nelokální okrajová úloha, jednoznačná řešitelnost, diferenciální nerovnost.

Keywords in English

Functional differential equation, nonlocal boundary value problem, unique solvability, differential inequality

RIV year

2013

Released

14.08.2013

Publisher

Springer

ISSN

1687-1847

Volume

2013

Number

1

Pages from–to

1–19

Pages count

19

BIBTEX


@article{BUT101368,
  author="Zdeněk {Opluštil},
  title="Solvability of a nonlocal boundary value problem for linear functional differential equations",
  year="2013",
  volume="2013",
  number="1",
  month="August",
  pages="1--19",
  publisher="Springer",
  issn="1687-1847"
}