New oscillation results for higher order nonlinear differential equations with a nonlinear neutral terms

Volume 28, Issue 3, pp 294--305 http://dx.doi.org/10.22436/jmcs.028.03.07
Publication Date: June 26, 2022 Submission Date: January 01, 2022 Revision Date: February 28, 2022 Accteptance Date: May 21, 2022

Authors

J. Alzabut - Department of Mathematics and General Sciences, Prince Sultan University, 11586 Riyadh, Saudi Arabia. - Department of Industrial Engineering, OSTIM Technical University, 06374 Ankara, Turkiye. S. R. Grace - Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Orman, Giza 12221, Egypt. G. N. Chhatria - Department of Mathematics, Sambalpur University, Sambalpur 768019, India.


Abstract

The paper deals with the oscillation of higher order nonlinear differential equations with a nonlinear neutral term. The main results are proved via utilizing an integral criterion as well as a comparison theorem with first-order delay differential equation whose oscillatory properties are known. The proposed theorems improve, extend, and simplify existing ones in the literature. The results are associated with four numerical examples.


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ISRP Style

J. Alzabut, S. R. Grace, G. N. Chhatria, New oscillation results for higher order nonlinear differential equations with a nonlinear neutral terms, Journal of Mathematics and Computer Science, 28 (2023), no. 3, 294--305

AMA Style

Alzabut J., Grace S. R., Chhatria G. N., New oscillation results for higher order nonlinear differential equations with a nonlinear neutral terms. J Math Comput SCI-JM. (2023); 28(3):294--305

Chicago/Turabian Style

Alzabut, J., Grace, S. R., Chhatria, G. N.. "New oscillation results for higher order nonlinear differential equations with a nonlinear neutral terms." Journal of Mathematics and Computer Science, 28, no. 3 (2023): 294--305


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