New conditionally oscillatory class of equations with coefficients containing slowly varying and periodic functions

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F21%3A00118759" target="_blank" >RIV/00216224:14310/21:00118759 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/62156489:43410/21:43918325

Výsledek na webu

<a href="https://doi.org/10.1016/j.jmaa.2020.124585" target="_blank" >https://doi.org/10.1016/j.jmaa.2020.124585</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.jmaa.2020.124585" target="_blank" >10.1016/j.jmaa.2020.124585</a>

Jazyk výsledku

angličtina

Název v původním jazyce

New conditionally oscillatory class of equations with coefficients containing slowly varying and periodic functions

Popis výsledku v původním jazyce

The main result of this paper is a straightforward oscillation test for linear differential equations whose coefficients consist of products of periodic and slowly varying continuous functions. The attention is paid to the case when the slowly varying parts of the coefficients are unbounded. In particular, using the presented oscillation test, we identify a very general type of conditionally oscillatory equations together with the threshold value of the coefficients (the critical setting on the border of oscillation and non-oscillation). Hence, our results supply a class of linear equations with solved oscillation behaviour which can be used as testing equations and as a starting point to the oscillation theory of the corresponding half-linear and more general non-linear and partial differential equations with unbounded coefficients.

Název v anglickém jazyce

New conditionally oscillatory class of equations with coefficients containing slowly varying and periodic functions

Popis výsledku anglicky

The main result of this paper is a straightforward oscillation test for linear differential equations whose coefficients consist of products of periodic and slowly varying continuous functions. The attention is paid to the case when the slowly varying parts of the coefficients are unbounded. In particular, using the presented oscillation test, we identify a very general type of conditionally oscillatory equations together with the threshold value of the coefficients (the critical setting on the border of oscillation and non-oscillation). Hence, our results supply a class of linear equations with solved oscillation behaviour which can be used as testing equations and as a starting point to the oscillation theory of the corresponding half-linear and more general non-linear and partial differential equations with unbounded coefficients.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GA20-11846S" target="_blank" >GA20-11846S: Diferenciální a diferenční rovnice reálných řádů: kvalitativní analýza a její aplikace</a><br>

Návaznosti

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

Rok uplatnění

2021

Kód důvěrnosti údajů

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

Název periodika

Journal of Mathematical Analysis and Applications

ISSN

0022-247X

e-ISSN

1096-0813

Svazek periodika

494

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

22

Strana od-do

1-22

Kód UT WoS článku

000577832400023

EID výsledku v databázi Scopus

2-s2.0-85091110655