Oscillations of Second Order Impulsive Differential Equations with Advanced Arguments

Ubon Akpan Abasiekwere; I. M. Esuabana; I. O. Isaac

Authors

Ubon Akpan Abasiekwere
I. M. Esuabana
I. O. Isaac

impulsive differential equations, comparison theorem, advanced arguments, second order, oscillation

Abstract

A comparison theorem providing sufficient conditions for the oscillation of all solutions of a class of second order linear impulsive differential equations with advanced argument is formulated. A relation between the oscillation (non-oscillation) of second order impulsive differential equations with advanced arguments and the oscillation (non-oscillation) of the corresponding impulsive ordinary differential equations is established by means of the Lebesgue dominated convergence theorem. Obtained comparison principle essentially simplifies the examination of the studied equations.

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How to Cite

Oscillations of Second Order Impulsive Differential Equations with Advanced Arguments. (2018). Global Journal of Science Frontier Research, 18(F1), 25-32. https://www.journalofscience.org/index.php/GJSFR/article/view/2155

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