J 2022

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

DOŠLÁ, Zuzana and Kōdai FUJIMOTO

Basic information

Original name

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

Authors

DOŠLÁ, Zuzana (203 Czech Republic, guarantor, belonging to the institution) and Kōdai FUJIMOTO

Edition

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

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

Singapore

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

Impact factor

Impact factor: 1.600

RIV identification code

RIV/00216224:14310/22:00129025

Organization unit

Faculty of Science

DOI

UT WoS

000882777100001

Keywords in English

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

Tags

Tags

International impact, Reviewed
Změněno: 26/1/2023 09:52, Mgr. Marie Šípková, DiS.

Abstract

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.

Links

GA20-11846S, research and development project
Name: Diferenciální a diferenční rovnice reálných řádů: kvalitativní analýza a její aplikace
Investor: Czech Science Foundation