Positive periodic solutions for neutral functional differential equations with distributed delays and feedback control

2008 ◽  
Vol 9 (5) ◽  
pp. 2214-2221 ◽  
Author(s):  
Yongkun Li
Keyword(s):  
Feedback Control ◽  
Differential Equations ◽  
Periodic Solutions ◽  
Functional Differential Equations ◽  
Distributed Delays ◽  
Positive Periodic Solutions ◽  
Neutral Functional Differential Equations ◽  
Functional Differential

Positive periodic solutions for singular high-order neutral functional differential equations

2018 ◽  
Vol 68 (2) ◽  
pp. 379-396 ◽  
Author(s):  
Fanchao Kong ◽  
Zhiguo Luo ◽  
Shiping Lu
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Periodic Solutions ◽  
Functional Differential Equations ◽  
High Order ◽  
Positive Periodic Solutions ◽  
Neutral Functional Differential Equation ◽  
Neutral Functional Differential Equations ◽  
Small Force ◽  
Functional Differential

Abstract In this paper, we establish new results on the existence of positive periodic solutions for the following high-order neutral functional differential equation (NFDE) $$\begin{array}{} (x(t)-cx(t-\sigma)) ^{(2m)}+f(x(t)) x'(t)+g(t,x(t-\delta))=e(t). \end{array}$$ The interesting thing is that g has a strong singularity at x = 0 and satisfies a small force condition at x = ∞, which is different from the corresponding ones known in the literature. Two examples are given to illustrate the effectiveness of our results.

Sign in / Sign up

Export Citation Format

Share Document