Asymptotic properties of solutions of third-order nonlinear dynamic equations on time scales

Volume 26, Issue 3, pp 255--268 http://dx.doi.org/10.22436/jmcs.026.03.05

Publication Date: November 23, 2021 Submission Date: August 07, 2021 Revision Date: August 31, 2021 Accteptance Date: September 30, 2021

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Authors

S. H. Saker - Department of Mathematics, Faculty of Science , Mansoura University, , Mansoura , Egypt. H. Hassan - Department of Mathematics, Faculty of Science, New Mansoura University, New Mansoura City, Egypt.

Abstract

This paper is concerned with the asymptotic properties of solutions of third-order nonlinear dynamic equations on time scales. Some sufficient conditions for oscillation and nonoscillation of solutions as well as the boundedness of the solutions are established.

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Keywords

• Oscillation
• nonoscillation
• boundedness
• third-order dynamic equations
• time scales

MSC

•  34K11
•  34N05
•  34C10
•  39A21
•  39A43
•  26E70

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