Oscillation and non-oscillation results for solutions of perturbed half-linear equations

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F18%3A00100879" target="_blank" >RIV/00216224:14310/18:00100879 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1002/mma.4813" target="_blank" >http://dx.doi.org/10.1002/mma.4813</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/mma.4813" target="_blank" >10.1002/mma.4813</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Oscillation and non-oscillation results for solutions of perturbed half-linear equations

Popis výsledku v původním jazyce

The purpose of this paper is to describe the oscillatory properties of second-order Euler-type half-linear differential equations with perturbations in both terms. All but one perturbations in each term are considered to be given by finite sums of periodic continuous functions, while coefficients in the last perturbations are considered to be general continuous functions. Since the periodic behavior of the coefficients enables us to solve the oscillation and non-oscillation of the considered equations, including the so-called critical case, we determine the oscillatory properties of the equations with the last general perturbations. As the main result, we prove that the studied equations are conditionally oscillatory in the considered very general setting. The novelty of our results is illustrated by many examples, and we give concrete new corollaries as well. Note that the obtained results are new even in the case of linear equations.

Název v anglickém jazyce

Oscillation and non-oscillation results for solutions of perturbed half-linear equations

Popis výsledku anglicky

The purpose of this paper is to describe the oscillatory properties of second-order Euler-type half-linear differential equations with perturbations in both terms. All but one perturbations in each term are considered to be given by finite sums of periodic continuous functions, while coefficients in the last perturbations are considered to be general continuous functions. Since the periodic behavior of the coefficients enables us to solve the oscillation and non-oscillation of the considered equations, including the so-called critical case, we determine the oscillatory properties of the equations with the last general perturbations. As the main result, we prove that the studied equations are conditionally oscillatory in the considered very general setting. The novelty of our results is illustrated by many examples, and we give concrete new corollaries as well. Note that the obtained results are new even in the case of linear equations.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/GA17-03224S" target="_blank" >GA17-03224S: Asymptotická teorie obyčejných diferenciálních rovnic celočíselných a neceločíselných řádů a jejich numerických diskretizací</a><br>

Návaznosti

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

Rok uplatnění

2018

Kód důvěrnosti údajů

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

Název periodika

Mathematical Methods in the Applied Sciences

ISSN

0170-4214

e-ISSN

1099-1476

Svazek periodika

41

Číslo periodika v rámci svazku

9

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

24

Strana od-do

3246-3269

Kód UT WoS článku

000432020300002

EID výsledku v databázi Scopus

2-s2.0-85042755872