Survey of Impulsive Differential Equations with
Continuous Delay

I. M. Esuabana; J. A. Ugboh

doi:https://doi.org/10.14445/22315373/IJMTT-V60P504

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 60 | Number 1 | Year 2018 | Article Id. IJMTT-V60P504 | DOI : https://doi.org/10.14445/22315373/IJMTT-V60P504

Survey of Impulsive Differential Equations with Continuous Delay

I. M. Esuabana, J. A. Ugboh

Citation :

I. M. Esuabana, J. A. Ugboh, "Survey of Impulsive Differential Equations with Continuous Delay," International Journal of Mathematics Trends and Technology (IJMTT), vol. 60, no. 1, pp. 22-28, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V60P504

Abstract

In this study, we investigate first order impulsive differential equations with continuous time dependent delays and revisit some of the fundamental concepts in literature. Consequently, we analyse the change in the formulation of impulsive differential equation problems from studying piecewise continuously differentiable trajectories to working with piecewise absolute continuous trajectories and determine a suitable solution space for them.

Keywords

Impulsive, differential equation, continuous delay, trajectories, impulse points

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