Kamenev type oscillation criteria for second order impulsive differential equations

Volume 26, Issue 2, pp 172--183 http://dx.doi.org/10.22436/jmcs.026.02.07

Publication Date: November 05, 2021 Submission Date: June 24, 2021 Revision Date: August 17, 2021 Accteptance Date: September 17, 2021

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Authors

S. E. Tallah - Department of Mathematics, University College for women, Ain shams university, Cairo, Egypt. M. M. A. Elsheikh - Department of Mathematics and computer science, Faculty of science, Menoufia university , Shebin El-Koom, Egypt. G. A. F. Ismail - Department of Mathematics, University College for women, Ain shams university, Cairo, Egypt.

Abstract

The oscillation of second order impulsive differential equations is discussed using Riccati transformations technique. New oscillation criteria are established, to improve and extend some recent results in the literature. Two illustrative examples are given.

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Keywords

• Kameneve type oscillation
• damping terms
• impulsive
• Riccati transformations

MSC

•  34A37
•  34C10
•  34C29

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