scholarly journals Stochastic invariance for neutral functional differential equation with non-lipschitz coefficients

2019 ◽  
Vol 24 (7) ◽  
pp. 3299-3318
Author(s):  
Chunhong Li ◽  
◽  
Jiaowan Luo
Keyword(s):  
Differential Equation ◽  
Functional Differential Equation ◽  
Neutral Functional Differential Equation ◽  
Stochastic Invariance ◽  
Functional Differential

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.

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