Oscillatory behavior of second order delay dynamic equations with a sub-linear neutral term on time scales

Volume 24, Issue 2, pp 97--109 http://dx.doi.org/10.22436/jmcs.024.02.01

Publication Date: January 18, 2021 Submission Date: October 29, 2020 Revision Date: November 22, 2020 Accteptance Date: December 02, 2020

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Authors

A. A. Soliman - Department of Mathematics, Faculty of Science, Benha University, Benha-Kalubia 13518, Egypt. 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

This work concerned with the oscillation of solutions of a~class of second order delay dynamic equations with a sub-linear neutral term. The obtained results essentially improve, complement and simplify a~number of related ones in the literature. Some examples are given to illustrate our main results.

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Keywords

• Second order
• sub-linear neutral term
• oscillation
• Riccati transformation

MSC

•  34C11
•  34K11

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