Positive solutions of an initial value problem of a delay-self-reference nonlinear differential equation

EL-Sayed A.M.A; Eman Hamdallah; Ebead H.R

doi:10.26637/MJM0803/0046

Abstract

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

Keywords:

Delay-state-dependent, nonlinear differential equation, existence of solutions, continuous dependence, Arzela- Ascoli Theorem, Schauder fixed point Theorem

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

EL-Sayed A.M.A Faculty of Science, Alexandria University, Alexandria-21500, Egypt. https://orcid.org/0000-0001-7092-7950
Eman Hamdallah Faculty of Science, Alexandria University, Alexandria-21500, Egypt.
Ebead H.R Faculty of Science, Alexandria University, Alexandria-21500, Egypt.

Pages: 1001-1006
Date Published: 01-07-2020
Vol. 8 No. 03 (2020): Malaya Journal of Matematik (MJM)

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