scholarly journals Positive Periodic Solutions for Impulsive Functional Differential Equations with Infinite Delay and Two Parameters

2014 ◽  
Vol 2014 ◽  
pp. 1-17 ◽  
Author(s):  
Zhenguo Luo ◽  
Liping Luo ◽  
Yunhui Zeng
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Periodic Solutions ◽  
Infinite Delay ◽  
Functional Differential Equations ◽  
Positive Periodic Solutions ◽  
Krasnoselskii’S Fixed Point Theorem ◽  
Special Cases ◽  
Functional Differential ◽  
Two Parameters

We apply the Krasnoselskii’s fixed point theorem to study the existence of multiple positive periodic solutions for a class of impulsive functional differential equations with infinite delay and two parameters. In particular, the presented criteria improve and generalize some related results in the literature. As an application, we study some special cases of systems, which have been studied extensively in the literature.

scholarly journals Existence of Positive Periodic Solutions for a Class of Higher-Dimension Functional Differential Equations with Impulses

2013 ◽  
Vol 2013 ◽  
pp. 1-6
Author(s):  
Zhang Suping ◽  
Jiang Wei
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Differential Equations ◽  
Periodic Solutions ◽  
Point Theorem ◽  
Functional Differential Equations ◽  
Higher Dimension ◽  
Positive Periodic Solutions ◽  
Krasnoselskii Fixed Point Theorem ◽  
Functional Differential

By employing the Krasnoselskii fixed point theorem, we establish some criteria for the existence of positive periodic solutions of a class ofn-dimension periodic functional differential equations with impulses, which improve the results of the literature.

Three Positive Periodic Solutions of Nonlinear Functional Differential Equations with Impulse Effects

2011 ◽  
Vol 403-408 ◽  
pp. 1319-1321
Author(s):  
Lei Wang
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Differential Equations ◽  
Periodic Solutions ◽  
Point Theorem ◽  
Functional Differential Equations ◽  
Positive Periodic Solutions ◽  
Nonlinear Functional ◽  
Functional Differential

In this paper, a type of nonlinear functional differential equations with impulse effects are studied by using the Leggett-Williams fixed point theorem.

ON THE NUMBER OF POSITIVE PERIODIC SOLUTIONS OF FUNCTIONAL DIFFERENTIAL EQUATIONS AND POPULATION MODELS

2005 ◽  
Vol 15 (04) ◽  
pp. 555-573 ◽  
Author(s):  
DAQING JIANG ◽  
DONAL O'REGAN ◽  
RAVI P. AGARWAL ◽  
XIAOJIE XU
Keyword(s):  
Fixed Point ◽  
Periodic Solutions ◽  
Fixed Point Index ◽  
Growth Models ◽  
Infinite Delay ◽  
Functional Differential Equations ◽  
Positive Periodic Solutions ◽  
Point Index ◽  
Functional Differential ◽  
Population Growth Models

In this paper, we employ the fixed point index on cones to study the existence, multiplicity and nonexistence of positive periodic solutions to a system of infinite delay equations, [Formula: see text] in which λ > 0 is a parameter. We prove some general theorems and establish new periodicity conditions for several population growth models.

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.

scholarly journals Multiple Positive Periodic Solutions for Functional Differential Equations with Impulses and a Parameter

2014 ◽  
Vol 2014 ◽  
pp. 1-13
Author(s):  
Zhenguo Luo
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Differential Equations ◽  
Periodic Solutions ◽  
Point Theorem ◽  
Functional Differential Equations ◽  
Positive Periodic Solutions ◽  
Krasnoselskii Fixed Point Theorem ◽  
Functional Differential

We apply the Krasnoselskii fixed-point theorem to investigate the existence of multiple positive periodic solutions for a class of impulsive functional differential equations with a parameter; some verifiable sufficient results are established easily. In particular, our results extend and improve some previous 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.

Sign in / Sign up

Export Citation Format

Share Document