Number of positive periodic solutions for first-order nonlinear difference equations with feedback

2021 ◽  
Vol 391 ◽  
pp. 125626
Author(s):  
Jitsuro Sugie
Keyword(s):  
Periodic Solutions ◽  
Difference Equations ◽  
Positive Periodic Solutions ◽  
Nonlinear Difference Equations ◽  
First Order

scholarly journals Positive Periodic Solutions for First-Order Difference Equations with Impulses

2021 ◽  
Author(s):  
Mesliza Mohamed ◽  
Gafurjan Ibragimov ◽  
Seripah Awang Kechil
Keyword(s):  
Boundary Conditions ◽  
Periodic Solutions ◽  
Difference Equations ◽  
Periodic Boundary ◽  
Periodic Boundary Conditions ◽  
Positive Periodic Solutions ◽  
Order Difference ◽  
First Order

This paper investigates the first-order impulsive difference equations with periodic boundary conditions

scholarly journals Positive Periodic Solutions of Nonlinear First-Order Functional Difference Equations

2010 ◽  
Vol 2010 ◽  
pp. 1-15
Author(s):  
Ruyun Ma ◽  
Tianlan Chen ◽  
Yanqiong Lu
Keyword(s):  
Periodic Solutions ◽  
Difference Equations ◽  
Functional Difference ◽  
Positive Periodic Solutions ◽  
First Order ◽  
Functional Difference Equations ◽  
The Difference

We consider the existence, multiplicity, and nonexistence of positiveT-periodic solutions for the difference equationsΔx(n)=a(n)g(x(n))x(n)-λb(n)f(x(n-τ(n))), andΔx(n)+a(n)g(x(n))x(n)=λb(n)f(x(n-τ(n))), wherea,b:ℤ→[0,∞)areT-periodic,τ:ℤ→ℤisT-periodic.

scholarly journals Two periodic solutions of neutral difference equations modelling physiological processes

2006 ◽  
Vol 2006 ◽  
pp. 1-12 ◽  
Author(s):  
Jun Wu ◽  
Yicheng Liu
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Periodic Solutions ◽  
Point Theorem ◽  
Difference Equations ◽  
Neutral Difference Equations ◽  
First Order ◽  
Analysis Techniques ◽  
Physiological Processes

We establish existence, multiplicity, and nonexistence of periodic solutions for a class of first-order neutral difference equations modelling physiological processes and conditions. Our approach is based on a fixed point theorem in cones as well as some analysis techniques.

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