Asymptotic formulae for solutions of half-linear differential equations

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F17%3A00461884" target="_blank" >RIV/67985840:_____/17:00461884 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.amc.2016.07.020" target="_blank" >http://dx.doi.org/10.1016/j.amc.2016.07.020</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.amc.2016.07.020" target="_blank" >10.1016/j.amc.2016.07.020</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Asymptotic formulae for solutions of half-linear differential equations

Popis výsledku v původním jazyce

We establish asymptotic formulae for regularly varying solutions of the half-linear differential equation ..., where r, p are positive continuous functions on ... and ... The results can be understood in several ways: Some open problems posed in the literature are solved. Results for linear differential equations are generalized: some of the observations are new even in the linear case. A refinement on information about behavior of solutions in standard asymptotic classes is provided. A precise description of regularly varying solutions which are known to exist is given. Regular variation of all positive solutions is proved.

Název v anglickém jazyce

Asymptotic formulae for solutions of half-linear differential equations

Popis výsledku anglicky

We establish asymptotic formulae for regularly varying solutions of the half-linear differential equation ..., where r, p are positive continuous functions on ... and ... The results can be understood in several ways: Some open problems posed in the literature are solved. Results for linear differential equations are generalized: some of the observations are new even in the linear case. A refinement on information about behavior of solutions in standard asymptotic classes is provided. A precise description of regularly varying solutions which are known to exist is given. Regular variation of all positive solutions is proved.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2017

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

—

Svazek periodika

292

Číslo periodika v rámci svazku

January

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

13

Strana od-do

165-177

Kód UT WoS článku

000384397400016

EID výsledku v databázi Scopus

2-s2.0-84980417597