Detail publikace
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
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
angličtina
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.
Klíčová slova
Disconjugacy, necessary and sufficient conditions, comparison theorem, 4th order ordinary differential equations.
Autoři
MUKHIGULASHVILI, S.; MANJIKASHVILI, M.
Vydáno
20. 9. 2021
ISSN
1220-3874
Periodikum
B MATH SOC SCI MATH
Ročník
2021
Číslo
4
Stát
Rumunsko
Strany od
341
Strany do
353
Strany počet
13
URL
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="B MATH SOC SCI MATH",
year="2021",
volume="2021",
number="4",
pages="341--353",
issn="1220-3874",
url="http://www.rmi.ge/eng/QUALITDE-2021/Mukhigulashvili_workshop_2021.pdf"
}