Open AccessOn the existence of positive solutions of a state-dependent neutral functional differential equation with two state-delay functions
Author(s) -
A. M. A. El-Sayed,
Eman M. A. Hamdallah,
Hanaa R. Ebead
Publication year - 2020
Publication title -
open journal of mathematical analysis
Language(s) - English
Resource type - Journals
eISSN - 2616-8111
pISSN - 2616-8103
DOI - 10.30538/psrp-oma2020.0072
Subject(s) - functional differential equation , state dependent , state (computer science) , mathematics , differential equation , functional equation , delay differential equation , mathematical analysis , differential (mechanical device) , initial value problem , physics , thermodynamics , mathematical economics , algorithm
In this paper, we study the existence of positive solutions for an initial value problem of a state-dependent neutral functional differential equation with two state-delay functions. The continuous dependence of the unique solution will be proved. Some especial cases and examples will be given.