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Improved Kneser-type oscillation criterion for half-linear dynamic equations on time scales.

Authors :
Hassan, Taher S.
Menaem, Amir Abdel
Zaidi, Hasan Nihal
Alenzi, Khalid
El-Matary, Bassant M.
Source :
AIMS Mathematics; 2024, Vol. 9 Issue 10, p1-14, 14p
Publication Year :
2024

Abstract

We study the Kneser-type oscillation criterion for a class of second-order half-linear functional dynamic equations on an arbitrary time scale utilizing the integral averaging approach and the Riccati transformation method. The results show an improvement in Kneser-type when compared to some known results. We provide some illustrative examples to demonstrate the significance of our main results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
24736988
Volume :
9
Issue :
10
Database :
Complementary Index
Journal :
AIMS Mathematics
Publication Type :
Academic Journal
Accession number :
180607544
Full Text :
https://doi.org/10.3934/math.20241426