scholarly journals Existence and uniqueness of positive periodic solutions for a first-order functional differential equation

2015 ◽  
Vol 2015 (1) ◽  
Author(s):  
Chen Yang ◽  
Chengbo Zhai ◽  
Mengru Hao
Keyword(s):  
Differential Equation ◽  
Periodic Solutions ◽  
Functional Differential Equation ◽  
Existence And Uniqueness ◽  
Positive Periodic Solutions ◽  
First Order ◽  
Functional Differential

Three periodic solutions for a nonlinear first order functional differential equation

2010 ◽  
Vol 216 (8) ◽  
pp. 2450-2456 ◽  
Author(s):  
Seshadev Padhi ◽  
Shilpee Srivastava ◽  
Smita Pati
Keyword(s):  
Differential Equation ◽  
Periodic Solutions ◽  
Functional Differential Equation ◽  
First Order ◽  
Functional Differential

scholarly journals One-Signed Periodic Solutions of First-Order Functional Differential Equations with a Parameter

2011 ◽  
Vol 2011 ◽  
pp. 1-11 ◽  
Author(s):  
Ruyun Ma ◽  
Yanqiong Lu
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Periodic Function ◽  
Periodic Solutions ◽  
Functional Differential Equation ◽  
Functional Differential Equations ◽  
Global Bifurcation ◽  
Periodic Functions ◽  
First Order ◽  
Functional Differential

We study one-signed periodic solutions of the first-order functional differential equationu'(t)=-a(t)u(t)+λb(t)f(u(t-τ(t))),t∈Rby using global bifurcation techniques. Wherea,b∈C(R,[0,∞))areω-periodic functions with∫0ωa(t)dt>0,∫0ωb(t)dt>0,τis a continuousω-periodic function, andλ>0is a parameter.f∈C(R,R)and there exist two constantss2<0<s1such thatf(s2)=f(0)=f(s1)=0,f(s)>0fors∈(0,s1)∪(s1,∞)andf(s)<0fors∈(-∞,s2)∪(s2,0).

scholarly journals Existence and Uniqueness of Periodic Solutions for a Kind of Second-Order Neutral Functional Differential Equation with Delays

2017 ◽  
Vol 2017 ◽  
pp. 1-7
Author(s):  
Na Wang
Keyword(s):  
Differential Equation ◽  
Periodic Solutions ◽  
Functional Differential Equation ◽  
Existence And Uniqueness ◽  
Coincidence Degree ◽  
Second Order ◽  
Neutral Functional Differential Equation ◽  
Deviating Arguments ◽  
Functional Differential

We consider a kind of second-order neutral functional differential equation. On the basis of Mawhin’s coincidence degree, the existence and uniqueness of periodic solutions are proved. It is indicated that the result is related to the deviating arguments. Moreover, we present two simulations to demonstrate the validity of analytical conclusion.

scholarly journals Existence of triple positive periodic solutions of a functional differential equation depending on a parameter

2004 ◽  
Vol 2004 (10) ◽  
pp. 897-905 ◽  
Author(s):  
Xi-lan Liu ◽  
Guang Zhang ◽  
Sui Sun Cheng
Keyword(s):  
Differential Equation ◽  
Fixed Point ◽  
Fixed Point Theorem ◽  
Differential Equations ◽  
Periodic Solutions ◽  
Functional Differential Equation ◽  
Point Theorem ◽  
Functional Differential Equations ◽  
Positive Periodic Solutions ◽  
Functional Differential

We establish the existence of three positive periodic solutions for a class of delay functional differential equations depending on a parameter by the Leggett-Williams fixed point theorem.

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