On the oscillatory behavior of solutions of canonical and noncanonical even-order neutral differential equations with distributed deviating arguments

Volume 17, Issue 2, pp 82--92 https://dx.doi.org/10.22436/jnsa.017.02.01

Publication Date: February 23, 2024 Submission Date: October 11, 2023 Revision Date: December 04, 2023 Accteptance Date: January 16, 2024

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Authors

A. A. El-Gaber - Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Shebin El-Koom, Egypt.

Abstract

The oscillatory behavior of solutions of an even-order neutral differential equation with distributed deviating arguments is considered using Riccati, generalized Riccati transformations, integral averaging technique of Philos type and the theory of comparison. New sufficient conditions are established in both canonical and noncanonical cases. Two examples are given to support our results.

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Keywords

• Oscillation
• even-order
• neutral differential equations

MSC

•  34C10
•  34K11

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