scholarly journals Asymptotic behaviour of solutions to certain nonlinear third order neutral functional differential equation

Heliyon ◽  
2021 ◽  
Vol 7 (4) ◽  
pp. e06615
Author(s):  
Adeleke Timothy Ademola
Keyword(s):  
Differential Equation ◽  
Asymptotic Behaviour ◽  
Functional Differential Equation ◽  
Neutral Functional Differential Equation ◽  
Third Order ◽  
Asymptotic Behaviour Of Solutions ◽  
Functional Differential

13.—The Functional Differential Equation y′(x) = ay(λx) + by(x)

1976 ◽  
Vol 74 ◽  
pp. 165-174 ◽  
Author(s):  
Jack Carr ◽  
Janet Dyson
Keyword(s):  
Differential Equation ◽  
Asymptotic Behaviour ◽  
Functional Differential Equation ◽  
Complex Constant ◽  
Asymptotic Behaviour Of Solutions ◽  
Functional Differential ◽  
Image Position

SynopsisThe paper discusses the asymptotic behaviour of solutions of the functional differential equationwhere a is a complex constant, 0<λ<1, and b is a constant such that Re b = 0, but b ≠ 0.

scholarly journals Asymptotic behaviour of solutions to neutral functional differential equations

1989 ◽  
Vol 40 (3) ◽  
pp. 345-355
Author(s):  
Shaozhu Chen ◽  
Qingguang Huang
Keyword(s):  
Differential Equation ◽  
Difference Equation ◽  
Differential Equations ◽  
Asymptotic Behaviour ◽  
Functional Differential Equation ◽  
Necessary Conditions ◽  
Functional Differential Equations ◽  
Neutral Functional Differential Equation ◽  
Neutral Functional Differential Equations ◽  
Functional Differential

Sufficient or necessary conditions are established so that the neutral functional differential equation [x(t) − G(t, xt)]″ + F(t, xt) = 0 has a solution which is asymptotic to a given solution of the related difference equation x(t) = G(t, xt) + a + bt, where a and b are constants.

scholarly journals On the existence of positive solutions of a state-dependent neutral functional differential equation with two state-delay functions

2020 ◽  
Vol 4 (2) ◽  
pp. 132-141
Author(s):  
El-Sayed, A. M. A ◽  
◽  
Hamdallah, E. M. A ◽  
Ebead, H. R ◽  
◽  
...  
Keyword(s):  
Differential Equation ◽  
Positive Solutions ◽  
Functional Differential Equation ◽  
Continuous Dependence ◽  
Neutral Functional Differential Equation ◽  
Initial Value ◽  
State Delay ◽  
State Dependent ◽  
Existence Of Positive Solutions ◽  
Functional Differential

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.

Sign in / Sign up

Export Citation Format

Share Document