Linearized Oscillations in Autonomous Delay Impulsive Differential Equations

I. O. Isaac; Z. Lipcsey; U. J. Ibok

doi:10.9734/BJMCS/2014/11456

Research Article Open access CC BY 3.0

Linearized Oscillations in Autonomous Delay Impulsive Differential Equations

I. O. Isaac, Z. Lipcsey, U. J. Ibok

Journal of Advances in Mathematics and Computer Science · pp. 3068–3076 · Published 19 Aug 2014

10.9734/BJMCS/2014/11456

Abstract

In recent years, there have been intensive efforts to establish linearised oscillation results for onedimensional delay, neutral delay and advanced impulsive differential equations. An impressive number of these efforts have yielded fruitful results in many analytical and applied areas. This is particularly obvious in the areas of applied disciplines such as the linear delay impulsive differential equations. However, there still remains a lot more to be explored in this direction, especially, in the area of non-linear autonomous differential equations. In this paper, we are proposing the development of linearised oscillation techniques for some general non-linear autonomous impulsive differential equations with several delays.

Linearised oscillation Delay impulsive differential equations.

References (4)

1 Theory of Impulsive Differential Equations [DOI]
2 On the Stability Analysis of Nonlinear Systems [DOI]
3 Nonoscillatory and Oscillatory Criteria for First Order Nonlinear Neutral Impulsive Differential Equations [DOI]
4 On the global stability of sets for impulsive differential systems by Lyapunov's direct method [DOI]

Cited by 6

Existence Theorem for Impulsive Differential Equations with Measurable Right Side for Handling Delay Problems

Z. Lipcsey, J. A. Ugboh, I. M. Esuabana · Journal of Mathematics · 2020

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I. O. Isaac, Z. Lipcsey, U. J. Ibok (2014). Linearized Oscillations in Autonomous Delay Impulsive Differential Equations. Journal of Advances in Mathematics and Computer Science , 3068–3076. https://doi.org/10.9734/BJMCS/2014/11456

Affiliations

I. O. Isaac — Department of Mathematics/Statistics and Computer Science, University of Calabar, P.M.B. 1115, Calabar, Cross River State, Nigeria.
Z. Lipcsey — Department of Mathematics/Statistics and Computer Science, University of Calabar, P.M.B. 1115, Calabar, Cross River State, Nigeria.
U. J. Ibok — Department of Pure and Applied Chemistry, University of Calabar P.M.B. 1115, Calabar, Cross River State, Nigeria.

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