Nonoscillation of half-linear dynamic equations on time scales

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F21%3A00119173" target="_blank" >RIV/00216224:14310/21:00119173 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1002/mma.7304" target="_blank" >https://doi.org/10.1002/mma.7304</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/mma.7304" target="_blank" >10.1002/mma.7304</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Nonoscillation of half-linear dynamic equations on time scales

Popis výsledku v původním jazyce

The research contained in this paper belongs to the qualitative theory of dynamic equations on time scales. Via the detailed analysis of solutions of the associated Riccati equation and an advanced averaging technique, we provide the description of domain of nonoscillation of very general equations. The results are formulated and proved for half-linear equations (i.e., equations connected to PDEs with one dimensional p-Laplacian) on time scales. Nevertheless, we obtain new results also for linear difference equations. Moreover, the combination of the presented results with previous ones shows that many useful equations are conditionally oscillatory. Such equations are ideal as testing and comparison equations in real-world models which are beyond capabilities of known oscillation and nonoscillation criteria often.

Název v anglickém jazyce

Nonoscillation of half-linear dynamic equations on time scales

Popis výsledku anglicky

The research contained in this paper belongs to the qualitative theory of dynamic equations on time scales. Via the detailed analysis of solutions of the associated Riccati equation and an advanced averaging technique, we provide the description of domain of nonoscillation of very general equations. The results are formulated and proved for half-linear equations (i.e., equations connected to PDEs with one dimensional p-Laplacian) on time scales. Nevertheless, we obtain new results also for linear difference equations. Moreover, the combination of the presented results with previous ones shows that many useful equations are conditionally oscillatory. Such equations are ideal as testing and comparison equations in real-world models which are beyond capabilities of known oscillation and nonoscillation criteria often.

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

Mathematical Methods in the Applied Sciences

ISSN

0170-4214

e-ISSN

1099-1476

Svazek periodika

44

Číslo periodika v rámci svazku

11

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

23

Strana od-do

8775-8797

Kód UT WoS článku

000627606600001

EID výsledku v databázi Scopus

2-s2.0-85102237172