Amended Criteria of Oscillation for Nonlinear Functional Dynamic Equations of Second-Order

In this paper, the sharp Hille-type oscillation criteria are proposed for a class of second-order nonlinear functional dynamic equations on an arbitrary time scale, by using the technique of Riccati transformation and integral averaging method. The obtained results demonstrate an improvement in Hill...

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Bibliographic Details
Published in:Mathematics (Basel) 2021-06, Vol.9 (11), p.1191
Main Authors: Hassan, Taher S., El-Nabulsi, Rami Ahmad, Abdel Menaem, Amir
Format: Article
Language:English
Subjects:
Control theory
Criteria
Dynamical systems
functional dynamic equation
Mathematical analysis
Mathematical functions
Mathematics
nonlinear
oscillation behavior
second-order
time scales
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Summary:In this paper, the sharp Hille-type oscillation criteria are proposed for a class of second-order nonlinear functional dynamic equations on an arbitrary time scale, by using the technique of Riccati transformation and integral averaging method. The obtained results demonstrate an improvement in Hille-type compared with the results reported in the literature. Some examples are provided to illustrate the significance of the obtained results.
ISSN:2227-7390
2227-7390
DOI:10.3390/math9111191