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Criteria of Oscillation for Second-Order Mixed Nonlinearities in Dynamic Equations.

Authors :
Hassan, Taher S.
Iambor, Loredana Florentina
Mureşan, Sorin
Alenzi, Khalid
Odinaev, Ismoil
Rashedi, Khudhayr A.
Source :
Symmetry (20738994). Sep2024, Vol. 16 Issue 9, p1156. 13p.
Publication Year :
2024

Abstract

This paper investigates second-order functional dynamic equations with mixed nonlinearities on an arbitrary unbounded above-time scale, T. We will use a unified time scale approach and the well-known Riccati technique to derive oscillation criteria of the Nehari-type for second-order dynamic equations. The findings demonstrate a significant improvement in the literature on dynamic equations. The symmetry is beneficial and influential in defining the right style of study for the qualitative behavior of solutions to dynamic equations. We include an example to demonstrate the significance of our results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
20738994
Volume :
16
Issue :
9
Database :
Academic Search Index
Journal :
Symmetry (20738994)
Publication Type :
Academic Journal
Accession number :
180009461
Full Text :
https://doi.org/10.3390/sym16091156