Modified Prüfer angle and conditional oscillation of perturbed linear and half-linear differential equations

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F19%3A00107475" target="_blank" >RIV/00216224:14310/19:00107475 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S0096300319304928" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0096300319304928</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.amc.2019.06.027" target="_blank" >10.1016/j.amc.2019.06.027</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Modified Prüfer angle and conditional oscillation of perturbed linear and half-linear differential equations

Popis výsledku v původním jazyce

The research and results described in this paper belong to the qualitative theory of differential equations (more precisely, the partial differential equations with the one-dimensional p-Laplacian). Using a method whose core is formed by the Prüfer technique, we identify a borderline case between oscillatory and non-oscillatory equations. Moreover, we are able to decide whether the studied equations are oscillatory or not even in the so-called critical (i.e., the borderline) case. The advantage of our approach is the fact that we obtain new and strong results for linear and half-linear equations (i.e., the equations with the one-dimensional p-Laplacian) at the same time. In addition, we are able to work with equations whose coefficients are non-constant and non-periodic. The novelty of our results is documented by examples and corollaries.

Název v anglickém jazyce

Modified Prüfer angle and conditional oscillation of perturbed linear and half-linear differential equations

Popis výsledku anglicky

The research and results described in this paper belong to the qualitative theory of differential equations (more precisely, the partial differential equations with the one-dimensional p-Laplacian). Using a method whose core is formed by the Prüfer technique, we identify a borderline case between oscillatory and non-oscillatory equations. Moreover, we are able to decide whether the studied equations are oscillatory or not even in the so-called critical (i.e., the borderline) case. The advantage of our approach is the fact that we obtain new and strong results for linear and half-linear equations (i.e., the equations with the one-dimensional p-Laplacian) at the same time. In addition, we are able to work with equations whose coefficients are non-constant and non-periodic. The novelty of our results is documented by examples and corollaries.

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

2019

Kód důvěrnosti údajů

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

Název periodika

Applied Mathematics and Computation

ISSN

0096-3003

e-ISSN

1873-5649

Svazek periodika

361

Číslo periodika v rámci svazku

NOV 15 2019

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

22

Strana od-do

788-809

Kód UT WoS článku

000474545500065

EID výsledku v databázi Scopus

2-s2.0-85067826125