Detail publikačního výsledku

Necessary and sufficient conditions of disconjugacy for the fourth order linear ordinary differential equations

MUKHIGULASHVILI, S.; MANJIKASHVILI, M.

Originální název

Necessary and sufficient conditions of disconjugacy for the fourth order linear ordinary differential equations

Anglický název

Necessary and sufficient conditions of disconjugacy for the fourth order linear ordinary differential equations

Druh

Článek WoS

Originální abstrakt

We study the disconjugacy of the fourth order linear ordinary differential equation u(4)(t) = p(t)u(t); on the interval [a; b]: We find necessary and sufficient conditions for the disconjugacy on [a; b], which have the comparison theorems character. Our results complete Kondrat'ev's second comparison theorem for the case of the fourth order ODE. The above mentioned conditions significantly improve Coppel's well-known condition which guarantees the disconjugacy of our equation for not necessarily constant sign coefficient p; and generalise some optimal disconjugacy results proved for constant-coefficient equations.

Anglický abstrakt

We study the disconjugacy of the fourth order linear ordinary differential equation u(4)(t) = p(t)u(t); on the interval [a; b]: We find necessary and sufficient conditions for the disconjugacy on [a; b], which have the comparison theorems character. Our results complete Kondrat'ev's second comparison theorem for the case of the fourth order ODE. The above mentioned conditions significantly improve Coppel's well-known condition which guarantees the disconjugacy of our equation for not necessarily constant sign coefficient p; and generalise some optimal disconjugacy results proved for constant-coefficient equations.

Klíčová slova

Disconjugacy, necessary and sufficient conditions, comparison theorem, 4th order ordinary differential equations.

Klíčová slova v angličtině

Disconjugacy, necessary and sufficient conditions, comparison theorem, 4th order ordinary differential equations.

Autoři

MUKHIGULASHVILI, S.; MANJIKASHVILI, M.

Rok RIV

2022

Vydáno

20.09.2021

ISSN

1220-3874

Periodikum

Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie

Svazek

2021

Číslo

4

Stát

Rumunsko

Strany od

341

Strany do

353

Strany počet

13

URL

http://www.rmi.ge/eng/QUALITDE-2021/Mukhigulashvili_workshop_2021.pdf

BibTex

@article{BUT172903,
  author="Sulkhan {Mukhigulashvili} and Mariam {Manjikashvili}",
  title="Necessary and sufficient conditions of disconjugacy for the fourth order linear ordinary differential equations",
  journal="Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie",
  year="2021",
  volume="2021",
  number="4",
  pages="341--353",
  issn="1220-3874",
  url="http://www.rmi.ge/eng/QUALITDE-2021/Mukhigulashvili_workshop_2021.pdf"
}