J 2024

Oscillation criterion for Euler type half-linear difference equations

HASIL, Petr and Michal VESELÝ

Basic information

Original name

Oscillation criterion for Euler type half-linear difference equations

Authors

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

Edition

Mathematical Methods in the Applied Sciences, Wiley, 2024, 0170-4214

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

United States of America

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

Impact factor

Impact factor: 2.900 in 2022

Organization unit

Faculty of Science

UT WoS

001125739500001

Keywords in English

difference equations; Euler type; half-linear equations; linear equations; oscillation; Riccati technique

Tags

Tags

International impact, Reviewed
Změněno: 25/3/2024 12:27, doc. RNDr. Michal Veselý, Ph.D.

Abstract

V originále

We consider general classes of Euler type linear and half-linear difference equations, which are conditionally oscillatory. Applying the adapted Riccati technique, we improve known oscillation criteria for these equations. More precisely, our presented main criterion is the full oscillatory counterpart of a non-oscillation criterion. Thus, in this paper, we enlarge the set of conditionally oscillatory Euler type difference equations. We highlight that our results are new even for linear equations with periodic coefficients. This fact is documented by simple examples of such equations at the end of this paper.

Links

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