Periodic Solutions of Functional Difference Equations

2021 ◽  
Vol 67 (2) ◽  
pp. 36-42
Author(s):  
Shilpee Srivastava Saxena
Keyword(s):  
Periodic Solutions ◽  
Difference Equations ◽  
Functional Difference ◽  
Functional Difference Equations

A note on the existence of three positive periodic solutions of functional difference equation

2011 ◽  
Vol 18 (1) ◽  
pp. 39-52
Author(s):  
Shengping Chen
Keyword(s):  
Difference Equation ◽  
Periodic Solutions ◽  
Difference Equations ◽  
Functional Difference ◽  
Positive Periodic Solutions ◽  
Functional Difference Equation ◽  
Functional Difference Equations

Abstract It is shown that, under certain assumptions, the functional difference equations have at least three positive periodic solutions. Applications are given to illustrate the main results.

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.

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