Comparison theorems for oscillation and non-oscillation of
perturbed Euler type equations

J 2025

Comparison theorems for oscillation and non-oscillation of perturbed Euler type equations

HASIL, Petr; Jiřina ŠIŠOLÁKOVÁ a Michal VESELÝ

Základní údaje

Originální název

Comparison theorems for oscillation and non-oscillation of perturbed Euler type equations

Autoři

HASIL, Petr; Jiřina ŠIŠOLÁKOVÁ a Michal VESELÝ

Vydání

Opuscula Mathematica, AGH University of Science and Technology, 2025, 1232-9274

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10101 Pure mathematics

Stát vydavatele

Polsko

Utajení

není předmětem státního či obchodního tajemství

Odkazy

URL

Impakt faktor

Impact factor: 2.000 v roce 2024

Označené pro přenos do RIV

Ano

Kód RIV

RIV/00216224:14310/25:00144606

Organizační jednotka

Přírodovědecká fakulta

Klíčová slova anglicky

comparison theorem; oscillation theory; non-oscillation; half-linear equation; Riccati equation; Pr & uuml;fer angle

Štítky

14311010, rivok

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 13. 1. 2026 09:41, Mgr. Marie Novosadová Šípková, DiS.

Anotace

V originále

The aim of this paper is to present two comparison theorems. These results enable to describe the oscillation behavior of second order Euler type half-linear differential equations with perturbations in both terms using previously obtained oscillation and non-oscillation criteria. We point out that the comparison theorems are easy to use. This fact is also illustrated by a simple example. In addition, the number of perturbations is arbitrary and the last perturbations can be given by very general continuous functions. Note that the presented results are new even in the case of linear equations.

Návaznosti

GA20-11846S, projekt VaV

Název: Diferenciální a diferenční rovnice reálných řádů: kvalitativní analýza a její aplikace

Investor: Grantová agentura ČR, Diferenciální a diferenční rovnice reálných řádů: kvalitativní analýza a její aplikace

Citovat

HASIL, Petr; Jiřina ŠIŠOLÁKOVÁ a Michal VESELÝ. Comparison theorems for oscillation and non-oscillation of perturbed Euler type equations. Opuscula Mathematica. AGH University of Science and Technology, 2025, roč. 45, č. 6, s. 785-806. ISSN 1232-9274. Dostupné z: https://doi.org/10.7494/OpMath.2025.45.6.785.

@article{2546631,
   author = {Hasil, Petr and Šišoláková, Jiřina and Veselý, Michal},
   article_number = {6},
   doi = {https://doi.org/10.7494/OpMath.2025.45.6.785},
   keywords = {comparison theorem; oscillation theory; non-oscillation; half-linear equation; Riccati equation; Pr & uuml;fer angle},
   language = {eng},
   issn = {1232-9274},
   journal = {Opuscula Mathematica},
   title = {Comparison theorems for oscillation and non-oscillation of perturbed Euler type equations},
   url = {https://www.opuscula.agh.edu.pl/om-vol45iss6art4},
   volume = {45},
   year = {2025}
}

TY  - JOUR
ID  - 2546631
AU  - Hasil, Petr - Šišoláková, Jiřina - Veselý, Michal
PY  - 2025
TI  - Comparison theorems for oscillation and non-oscillation of perturbed Euler type equations
JF  - Opuscula Mathematica
VL  - 45
IS  - 6
SP  - 785-806
EP  - 785-806
PB  - AGH University of Science and Technology
SN  - 12329274
KW  - comparison theorem
KW  - oscillation theory
KW  - non-oscillation
KW  - half-linear equation
KW  - Riccati equation
KW  - Pr &
KW  - uuml;fer angle
UR  - https://www.opuscula.agh.edu.pl/om-vol45iss6art4
N2  - The aim of this paper is to present two comparison theorems. These results enable to describe the oscillation behavior of second order Euler type half-linear differential equations with perturbations in both terms using previously obtained oscillation and non-oscillation criteria. We point out that the comparison theorems are easy to use. This fact is also illustrated by a simple example. In addition, the number of perturbations is arbitrary and the last perturbations can be given by very general continuous functions. Note that the presented results are new even in the case of linear equations.
ER  -

HASIL, Petr; Jiřina ŠIŠOLÁKOVÁ a Michal VESELÝ. Comparison theorems for oscillation and non-oscillation of perturbed Euler type equations. \textit{Opuscula Mathematica}. AGH University of Science and Technology, 2025, roč.~45, č.~6, s.~785-806. ISSN~1232-9274. Dostupné z: https://doi.org/10.7494/OpMath.2025.45.6.785.

Přehled o publikaci