Asymptotic behavior of solutions to differential equations with
p(t)-Laplacian

J 2022

Asymptotic behavior of solutions to differential equations with p(t)-Laplacian

DOŠLÁ, Zuzana a Kōdai FUJIMOTO

Základní údaje

Originální název

Asymptotic behavior of solutions to differential equations with p(t)-Laplacian

Autoři

DOŠLÁ, Zuzana a Kōdai FUJIMOTO

Vydání

Communications in Contemporary Mathematics, World Scientific Publishing Company, 2022, 0219-1997

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10101 Pure mathematics

Stát vydavatele

Singapur

Utajení

není předmětem státního či obchodního tajemství

Odkazy

URL

Impakt faktor

Impact factor: 1.600

Označené pro přenos do RIV

Ano

Kód RIV

RIV/00216224:14310/22:00129025

Organizační jednotka

Přírodovědecká fakulta

Klíčová slova anglicky

Asymptotic behavior; bounded solutions; proper solutions; uniqueness; minimal sets; principal solutions; p(t)-Laplacian; half-linear differential equations

Štítky

14311010, rivok

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 26. 1. 2023 09:52, Mgr. Marie Novosadová Šípková, DiS.

Anotace

V originále

This paper deals with the second-order nonlinear differential equation (a(t)|x'p(t)−2 x')'= b(t)|x|q(t)−2x involving p(t)-Laplacian. The existence and the uniqueness of nonoscillatory solutions of this equation in certain classes, which are related with integral conditions, are studied. Moreover, a minimal set for solutions of this equation is introduced as an extension of the concept of principal solutions for linear equations. Obtained results extend the results for equations with p-Laplacian.

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

DOŠLÁ, Zuzana a Kōdai FUJIMOTO. Asymptotic behavior of solutions to differential equations with p(t)-Laplacian. Communications in Contemporary Mathematics. World Scientific Publishing Company, 2022, roč. 24, č. 10, s. "2150046-1"-"2150046-22", 22 s. ISSN 0219-1997. Dostupné z: https://doi.org/10.1142/S0219199721500462.

@article{1830701,
   author = {Došlá, Zuzana and Fujimoto, Kōdai},
   article_number = {10},
   doi = {https://doi.org/10.1142/S0219199721500462},
   keywords = {Asymptotic behavior; bounded solutions; proper solutions; uniqueness; minimal sets; principal solutions; p(t)-Laplacian; half-linear differential equations},
   language = {eng},
   issn = {0219-1997},
   journal = {Communications in Contemporary Mathematics},
   title = {Asymptotic behavior of solutions to differential equations with p(t)-Laplacian},
   url = {https://doi.org/10.1142/S0219199721500462},
   volume = {24},
   year = {2022}
}

TY  - JOUR
ID  - 1830701
AU  - Došlá, Zuzana - Fujimoto, Kōdai
PY  - 2022
TI  - Asymptotic behavior of solutions to differential equations with p(t)-Laplacian
JF  - Communications in Contemporary Mathematics
VL  - 24
IS  - 10
SP  - "2150046-1"-"2150046-22"
EP  - "2150046-1"-"2150046-22"
PB  - World Scientific Publishing Company
SN  - 02191997
KW  - Asymptotic behavior
KW  - bounded solutions
KW  - proper solutions
KW  - uniqueness
KW  - minimal sets
KW  - principal solutions
KW  - p(t)-Laplacian
KW  - half-linear differential equations
UR  - https://doi.org/10.1142/S0219199721500462
N2  - This paper deals with the second-order nonlinear differential equation (a(t)|x'p(t)−2 x')'= b(t)|x|q(t)−2x involving p(t)-Laplacian. The existence and the uniqueness of nonoscillatory solutions of this equation in certain classes, which are related with integral conditions, are studied. Moreover, a minimal set for solutions of this equation is introduced as an extension of the concept of principal solutions for linear equations. Obtained results extend the results for equations with p-Laplacian.
ER  -

DOŠLÁ, Zuzana a Kōdai FUJIMOTO. Asymptotic behavior of solutions to differential equations with p(t)-Laplacian. \textit{Communications in Contemporary Mathematics}. World Scientific Publishing Company, 2022, roč.~24, č.~10, s.~''2150046-1''-''2150046-22'', 22 s. ISSN~0219-1997. Dostupné z: https://doi.org/10.1142/S0219199721500462.

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