Oscillatory properties of certain system of non-linear ordinary differential equations

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F18%3APU128685" target="_blank" >RIV/00216305:26210/18:PU128685 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.18514/MMN.2018.2391" target="_blank" >http://dx.doi.org/10.18514/MMN.2018.2391</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.18514/MMN.2018.2391" target="_blank" >10.18514/MMN.2018.2391</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Oscillatory properties of certain system of non-linear ordinary differential equations

Popis výsledku v původním jazyce

We consider certain two-dimensional system of non-linear differential equations u'=g(t)|v|^(1/A)sgn v v'=-p(t)|u|^(A) sgn u, where A is a positive number, g,p are locally integrable functions (g is non-negative). In the case when coefficient g is not inegrable on the half-line, the considered system has been widely studied in particular cases such linear systems as well as second order linear and half-linear differential equations. However, the case when function g is integrable on the hlaf-line has not been studied in detail in the existing literature. Moreover, we allow that the coefficient g can have zero points in any neigh- bourhood of infinity and consequently, considered system can not be rewritten as the second order linear or half-linear differential equation in this case. In the paper, new oscillation criteria are established in the case when function g is integrable on the hlaf-line and without restricted assumption function p preserves its sign (which is usually considered).

Název v anglickém jazyce

Oscillatory properties of certain system of non-linear ordinary differential equations

Popis výsledku anglicky

We consider certain two-dimensional system of non-linear differential equations u'=g(t)|v|^(1/A)sgn v v'=-p(t)|u|^(A) sgn u, where A is a positive number, g,p are locally integrable functions (g is non-negative). In the case when coefficient g is not inegrable on the half-line, the considered system has been widely studied in particular cases such linear systems as well as second order linear and half-linear differential equations. However, the case when function g is integrable on the hlaf-line has not been studied in detail in the existing literature. Moreover, we allow that the coefficient g can have zero points in any neigh- bourhood of infinity and consequently, considered system can not be rewritten as the second order linear or half-linear differential equation in this case. In the paper, new oscillation criteria are established in the case when function g is integrable on the hlaf-line and without restricted assumption function p preserves its sign (which is usually considered).

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2018

Kód důvěrnosti údajů

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

Název periodika

Miskolc Mathematical Notes (electronic version)

ISSN

1787-2405

e-ISSN

1787-2413

Svazek periodika

19

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

HU - Maďarsko

Počet stran výsledku

21

Strana od-do

439-459

Kód UT WoS článku

000441460300034

EID výsledku v databázi Scopus

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