scholarly journals Positive periodic solutions of first-order functional differential equations with parameter

2009 ◽  
Vol 229 (1) ◽  
pp. 327-332 ◽  
Author(s):  
Aizhi Weng ◽  
Jitao Sun
Keyword(s):  
Differential Equations ◽  
Periodic Solutions ◽  
Functional Differential Equations ◽  
Positive Periodic Solutions ◽  
First Order ◽  
Functional Differential

scholarly journals FURTHER RESULTS ON POSITIVE PERIODIC SOLUTIONS OF IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS AND APPLICATIONS

2009 ◽  
Vol 50 (4) ◽  
pp. 513-533
Author(s):  
YUJI LIU
Keyword(s):  
Periodic Solution ◽  
Differential Equations ◽  
Periodic Solutions ◽  
Functional Differential Equations ◽  
Positive Periodic Solutions ◽  
First Order ◽  
Functional Differential

AbstractA class of first-order impulsive functional differential equations with forcing terms is considered. It is shown that, under certain assumptions, there exist positive T-periodic solutions, and under some other assumptions, there exists no positive T-periodic solution. Applications and examples are given to illustrate the main results.

scholarly journals Positive Periodic Solutions for First-Order Neutral Functional Differential Equations with Periodic Delays

2012 ◽  
Vol 2012 ◽  
pp. 1-12 ◽  
Author(s):  
Zeqing Liu ◽  
Xin Li ◽  
Shin Min Kang ◽  
Young Chel Kwun
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Periodic Solutions ◽  
Functional Differential Equations ◽  
Positive Periodic Solutions ◽  
Neutral Functional Differential Equations ◽  
First Order ◽  
Krasnoselskii Fixed Point Theorem ◽  
Functional Differential ◽  
Periodic Delays

In this paper, two classes of first-order neutral functional differential equations with periodic delays are considered. Some results on the existence of positive periodic solutions for the equations are obtained by using the Krasnoselskii fixed point theorem. Four examples are included to illustrate our results.

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