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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 5 | Year 2020 | Article Id. IJMTT-V66I5P504 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I5P504

On an initial value problem of delay-refereed differential Equation


EL-Sayed A.M.A, Ebead H.R
Abstract

In this paper we study the existence of positive solutions for an initial value problem of a delay-refereed differential equation. The continuous dependence of the unique solution on the initial data and the delay-refereed function will be proved. Some especial cases and examples will be given.

Keywords
Delay-refereed differential equation, existence of solutions, continuous dependence, Arzela-Ascoli Theorem, Schauder fixed point Theorem.
References

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Citation :

EL-Sayed A.M.A, Ebead H.R, "On an initial value problem of delay-refereed differential Equation," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 5, pp. 32-37, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I5P504

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