New oscillation and non-oscillation criteria for third order neutral differential equations with distributed deviating arguments

Volume 32, Issue 4, pp 283--294 http://dx.doi.org/10.22436/jmcs.032.04.01

Publication Date: October 26, 2023 Submission Date: June 20, 2023 Revision Date: July 09, 2023 Accteptance Date: August 01, 2023

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Authors

A. A. El-Gaber - Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Shebin El-Koom, Egypt. M. M. A. El-Sheikh - Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Shebin El-Koom, Egypt. S. A. A. El-Marouf - Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Shebin El-Koom, Egypt. - Department of Mathematics, Faculty of Science, Taibah University, Saudi Arabia.

Abstract

The oscillatory and non-oscillatory behavior of solutions of third-order neutral differential equations with distributed deviating arguments is discussed. New sufficient conditions that guarantee the oscillation of solutions are deduced. The obtained results improve and extend some recent criteria appeared in the literature. Two illustrative examples are given.

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Keywords

• Oscillation
• non-oscillation
• third order
• neutral differential equation

MSC

•  34K11

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