Publication detail

Remark on zeros of solutions of second-order linear ordinary differential equations

LOMTATIDZE, A. DOSOUDILOVÁ, M.

Original Title

Remark on zeros of solutions of second-order linear ordinary differential equations

Type

journal article in Web of Science

Language

English

Original Abstract

An efficient condition is established ensuring that on any interval of length !, any nontrivial solution of the equation u'' = p(t)u has at most one zero. Based on this result, the unique solvability of a periodic boundary value problem is studied.

Keywords

Second-order linear equation, zeros of solutions, periodic boundary value problem

Authors

LOMTATIDZE, A.; DOSOUDILOVÁ, M.

Released

1. 11. 2016

Publisher

DE GRUYTER

Location

Germani

ISBN

1572-9176

Periodical

Georgian Mathematical Journal (on-line)

Year of study

23

Number

4

State

Federal Republic of Germany

Pages from

1

Pages to

7

Pages count

7

URL

https://www.degruyter.com/document/doi/10.1515/gmj-2016-0052/html

BibTex

@article{BUT128851,
  author="Aleksandre {Lomtatidze} and Monika {Dosoudilová}",
  title="Remark on zeros of solutions of second-order linear ordinary differential equations",
  journal="Georgian Mathematical Journal (on-line)",
  year="2016",
  volume="23",
  number="4",
  pages="1--7",
  doi="10.1515/gmj-2016-0052",
  issn="1572-9176",
  url="https://www.degruyter.com/document/doi/10.1515/gmj-2016-0052/html"
}