Superlinear distributed deviating arguments to study second-order neutral differential equations

Volume 33, Issue 3, pp 217--224 https://dx.doi.org/10.22436/jmcs.033.03.01

Publication Date: January 13, 2024 Submission Date: August 03, 2023 Revision Date: August 08, 2023 Accteptance Date: October 14, 2023

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Authors

M. Vijayakumar - Department of Mathematics, SRM Institute of Science and Technology, Kattankulathur-603 203, Tamilnadu, India. S. K. Thamilvanan - Department of Mathematics , SRM Institute of Science and Technology, Kattankulathur-603 203, Tamilnadu, India. B. Sudha - Department of Mathematics , SRM Institute of Science and Technology, Kattankulathur-603 203, Tamilnadu, India. Sh. S. Santra - Department of Mathematics, JIS College of Engineering, Kalyani-741235, India. D. Baleanu - Department of Computer Science and Mathematics, Lebanese American University, Beirut-11022801, Lebanon. - Institute of Space Sciences, Magurele-Bucharest, 077125 Magurele, Romania.

Abstract

The main aim of this paper is to obtain new criteria for oscillating all solutions of second-order differential equations with distributed deviating arguments and superlinear neutral terms. Using the comparative and integral averaging techniques, we find new conditions for oscillation that generalize and add to some of the already found results. There are examples to show how important the main results are.

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Keywords

• Superlinear neutral term
• distributed deviating argument
• second-order
• oscillation

MSC

•  39A10
•  34K11

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