Regularly varying solutions of subhomogeneous differential equations with p(t)-Laplacian

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F26%3A0199535" target="_blank" >RIV/00216305:26210/26:0199535 - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/article/10.1007/s00030-025-01164-1" target="_blank" >https://link.springer.com/article/10.1007/s00030-025-01164-1</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00030-025-01164-1" target="_blank" >10.1007/s00030-025-01164-1</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Regularly varying solutions of subhomogeneous differential equations with p(t)-Laplacian

Popis výsledku v původním jazyce

This paper investigates the asymptotic behavior of increasing solutions to subhomogeneous differential equations involving the p(t)-Laplacian operator. Specifically, we consider the quasilinear equation (a(t)|y'|(p(t)) sgny')' = b(t)|y|(q(t)) L-G(|y|)sgny where p(t) and q(t) are variable exponents and L-G is a slowly varying perturbation. Our focus is on regularly varying solutions under the subhomogeneity condition p(t) > q(t) for large t. We show that all increasing solutions are regularly varying, derive asymptotic formulas for these solutions, and demonstrate their examples. This work contributes to the understanding of nonoscillatory solutions and shows how regular variation can be useful in studying differential equations involving variable exponents.

Název v anglickém jazyce

Regularly varying solutions of subhomogeneous differential equations with p(t)-Laplacian

Popis výsledku anglicky

This paper investigates the asymptotic behavior of increasing solutions to subhomogeneous differential equations involving the p(t)-Laplacian operator. Specifically, we consider the quasilinear equation (a(t)|y'|(p(t)) sgny')' = b(t)|y|(q(t)) L-G(|y|)sgny where p(t) and q(t) are variable exponents and L-G is a slowly varying perturbation. Our focus is on regularly varying solutions under the subhomogeneity condition p(t) > q(t) for large t. We show that all increasing solutions are regularly varying, derive asymptotic formulas for these solutions, and demonstrate their examples. This work contributes to the understanding of nonoscillatory solutions and shows how regular variation can be useful in studying differential equations involving variable exponents.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2025

Kód důvěrnosti údajů

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

Název periodika

Nonlinear differential equations and applications

ISSN

1021-9722

e-ISSN

1420-9004

Svazek periodika

33

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

23

Strana od-do

1-23

Kód UT WoS článku

001611166900002

EID výsledku v databázi Scopus

2-s2.0-105021266375