J 2024

Riccati Transformation and Non-Oscillation Criterion for Half-Linear Difference Equations

FUJIMOTO, Kodai, Petr HASIL and Michal VESELÝ

Basic information

Original name

Riccati Transformation and Non-Oscillation Criterion for Half-Linear Difference Equations

Authors

FUJIMOTO, Kodai, Petr HASIL (203 Czech Republic, belonging to the institution) and Michal VESELÝ (203 Czech Republic, guarantor, belonging to the institution)

Edition

Bulletin of the Malaysian Mathematical Sciences Society, Springer, 2024, 0126-6705

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

United Kingdom of Great Britain and Northern Ireland

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

Impact factor

Impact factor: 1.200 in 2022

Organization unit

Faculty of Science

UT WoS

001271759100001

Keywords in English

Half-linear equation; Difference equation; Non-oscillation; Oscillation theory; Riccati equation

Tags

Tags

International impact, Reviewed
Změněno: 7/8/2024 10:06, Mgr. Marie Šípková, DiS.

Abstract

V originále

In this paper, we study a general class of half-linear difference equations. Applying a version of the discrete Riccati transformation, we prove a non-oscillation criterion for the analyzed equations. In the formulation of the criterion, we do not use auxiliary sequences, but we consider directly the coefficients of the treated equations. Since the obtained criterion is new in many cases, we also formulate new simple corollaries and mention illustrative examples.

Links

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