Oscillation Theorem for Second Order Neutral Delay Differential Equations with Impulses

U. A. ABASIEKWERE; I. M. ESUABANA

doi:https://doi.org/10.14445/22315373/IJMTT-V52P548

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 52 | Number 5 | Year 2017 | Article Id. IJMTT-V52P548 | DOI : https://doi.org/10.14445/22315373/IJMTT-V52P548

Oscillation Theorem for Second Order Neutral Delay Differential Equations with Impulses

U. A. ABASIEKWERE,I. M. ESUABANA

Abstract

Consider the second-order linear neutral delay impulsive ordinary differential equations of the form

Keywords

Impulsive, Neutral, Oscillation, Second-order, differential equations.

References

[1] D. D. Bainov and P. S. Simeonov, Oscillation Theory of Impulsive Differential Equations, International Publications Orlando, Florida, 1998.
[2] A. N. Samoilenko and N. A. Perestyuk,Differential Equations with Impulse Effect, Visca Skola, Kiev, 1987.
[3] L. H. Erbe, Q. Kong and B. G. Zhang,Oscillation Theory for Functional Differential Equations, Dekker, New York, 1995.
[4] V. Lakshmikantham, D. D. Bainov, and P. S. Simeonov, Theory of Impulsive Differential Equations,World Scientific, Singapore,1989.
[5] I. Gyori and G. Ladas,Oscillation Theory of Delay Differential Equations with Applications, Clarendon, Oxford, 1991.
[6] G. S. Ladde, V. Lakshmikantham and B. G. Zhang,Oscillation Theory of Differential Equations with Deviating Arguments, Dekker, New York, 1987.
[7] I. O. Isaac and Z. Lipcsey and U. J. Ibok,Linearized Oscillations in Autonomous Delay Impulsive Differential Equations, British Journal of Mathematics & Computer Science, 4(21), 2014, 3068-3076.
[8] I. O. Isaac and Z. Lipcsey and U. J. Ibok,Nonoscillatory and Oscillatory Criteria for First Order Nonlinear Neutral Impulsive Differential Equations, Journal of Mathematics Research; Vol. 3 Issue 2, 2011, 52-65.
[9] I. O. Isaac and Z. Lipcsey,Oscillations of Scalar Neutral Impulsive Differential Equations of the First Order with variable Coefficients, Dynamic Systems and Applications,19, 2010, 45-62.
[10] D. D. Bainov and D. P. Mishev,Oscillation Theory for Neutral Differential Equations with Delay,Adam Hilger, 1991.

Citation :

U. A. ABASIEKWERE,I. M. ESUABANA, "Oscillation Theorem for Second Order Neutral Delay Differential Equations with Impulses," International Journal of Mathematics Trends and Technology (IJMTT), vol. 52, no. 5, pp. 330-333, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V52P548