Publication detail

Well-posedness of the second-order linear singular Dirichlet problem

LOMTATIDZE, A. OPLUŠTIL, Z.

Czech title

Korektnost Dirichletovy úlohy pro singulární lineární diferenciálkní rovnice druhého řádu

English title

Well-posedness of the second-order linear singular Dirichlet problem

Type

journal article in Web of Science

Language

en

Original abstract

Conditions guaranteeing well-posedness of the problem u '' =p 0 (t)u+q 0 (t) , u(a)=0 , u(b)=0 , are established. Here p 0 ,q 0 :]a,b[→R are locally Lebesgue integrable functions and may have singularities at t=a and t=b .

Czech abstract

V článku jsou nalezeny postačující podmínky zaručující korektnost okrajové úlohy u '' =p(t)u+q(t) , u(a)=0 , u(b)=0, kde p,q:]a,b[→R jsou lokálně integrovatelné funkce, které můžou mít singularity v krajních bodech intervalu.

English abstract

Conditions guaranteeing well-posedness of the problem u '' =p 0 (t)u+q 0 (t) , u(a)=0 , u(b)=0 , are established. Here p 0 ,q 0 :]a,b[→R are locally Lebesgue integrable functions and may have singularities at t=a and t=b .

Keywords in Czech

Singulární Dirichletova úloha; korektnost

Keywords in English

Singular Dirichlet problem; well-posedness

RIV year

2015

Released

11.05.2015

Publisher

WALTER DE GRUYTER GMBH

Location

GERMANY

ISSN

1072-947X

Volume

2015 (22)

Number

3

Pages from–to

409–419

Pages count

11

BIBTEX


@article{BUT115809,
  author="Aleksandre {Lomtatidze} and Zdeněk {Opluštil},
  title="Well-posedness of the second-order linear singular Dirichlet problem",
  year="2015",
  volume="2015 (22)",
  number="3",
  month="May",
  pages="409--419",
  publisher="WALTER DE GRUYTER GMBH  ",
  address="GERMANY  ",
  issn="1072-947X"
}