J 2023

Asymptotic properties for solutions of differential equations with singular p(t)-Laplacian

DOŠLÁ, Zuzana and Kodai FUJIMOTO

Basic information

Original name

Asymptotic properties for solutions of differential equations with singular p(t)-Laplacian

Authors

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

Edition

Monatshefte für Mathematik, Springer, 2023, 0026-9255

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

Austria

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

Impact factor

Impact factor: 0.900 in 2022

RIV identification code

RIV/00216224:14310/23:00134182

Organization unit

Faculty of Science

DOI

UT WoS

000957018500001

Keywords in English

Asymptotic behavior; Nonoscillatory solutions; Extremal solutions; Weakly increasing solutions; p(t)-Laplacian; Half-linear differential equations

Tags

Tags

International impact, Reviewed
Změněno: 9/8/2023 15:43, Mgr. Marie Šípková, DiS.

Abstract

V originále

This paper deals with the nonoscillatory solutions of the nonlinear differential equation (a(t)|x'|(p(t)-2)x')' +b(t)|x|(?-2)x = 0 involving "singular" p(t)-Laplacian. Sufficient conditions are given for the existence of extremal solutions, which do not exist in the conventional cases. In addition, we prove the coexistence of extremal solutions and weakly increasing solutions. Some examples are given to illustrate our results.

Links

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