New oscillation criteria and some refinements for second-order neutral delay dynamic equations on time scales

Volume 28, Issue 2, pp 192--202 http://dx.doi.org/10.22436/jmcs.028.02.07

Publication Date: May 18, 2022 Submission Date: July 08, 2021 Revision Date: March 16, 2022 Accteptance Date: March 16, 2022

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Authors

A. M. Hassan - Department of Mathematics, Faculty of Science, Benha University, Benha-Kalubia 13518, Egypt. S. E. Affan - Department of Mathematics, Faculty of Science, Benha University, Benha-Kalubia 13518, Egypt.

Abstract

In this paper, we present more effective criteria for oscillation of second-order half-linear neutral dynamic equations with delayed arguments. Our results essentially improve, complement, and simplify several related ones in the literature. Some examples are given to illustrate our main results.

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Keywords

• Second order
• nonlinear dynamic equations
• oscillation
• Riccati transformation

MSC

•  34C11
•  34K11

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