Non-oscillation of modified Euler type linear and half-linear differential equations

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F22%3A00125705" target="_blank" >RIV/00216224:14310/22:00125705 - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/article/10.1007/s40879-021-00522-4" target="_blank" >https://link.springer.com/article/10.1007/s40879-021-00522-4</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s40879-021-00522-4" target="_blank" >10.1007/s40879-021-00522-4</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Non-oscillation of modified Euler type linear and half-linear differential equations

Popis výsledku v původním jazyce

Modified Euler type second order half-linear differential equations are considered and a non-oscillation criterion is derived for them. This criterion is the counterpart of a previously obtained oscillation theorem. Thus, from the main result of this paper, it follows that the studied equations are conditionally oscillatory in a very general case. To prove the non-oscillation criterion, a combination of the Riccati technique and the generalized Prüfer angle is used. Since the criterion is new in many cases (especially, in the linear case), several corollaries are formulated and the novelty is illustrated by an example as well.

Název v anglickém jazyce

Non-oscillation of modified Euler type linear and half-linear differential equations

Popis výsledku anglicky

Modified Euler type second order half-linear differential equations are considered and a non-oscillation criterion is derived for them. This criterion is the counterpart of a previously obtained oscillation theorem. Thus, from the main result of this paper, it follows that the studied equations are conditionally oscillatory in a very general case. To prove the non-oscillation criterion, a combination of the Riccati technique and the generalized Prüfer angle is used. Since the criterion is new in many cases (especially, in the linear case), several corollaries are formulated and the novelty is illustrated by an example as well.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/EF19_073%2F0016943" target="_blank" >EF19_073/0016943: Interní grantová agentura Masarykovy univerzity</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2022

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

European Journal of Mathematics

ISSN

2199-675X

e-ISSN

2199-6768

Svazek periodika

8

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

22

Strana od-do

700-721

Kód UT WoS článku

000746798500001

EID výsledku v databázi Scopus

2-s2.0-85123495388