Title of article :
Existence of positive periodic solutions for difference equations with feedback control
Original Research Article
Author/Authors :
Yongkun Li، نويسنده , , Lifei Zhu، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2005
Abstract :
We apply the continuation theorem of coincidence degree theory to study the existence of positive periodic solutions for the following difference equations with feedback control:
View the MathML source{N(n+1)=N(n)exp[r(n)(1−N(n−m)k(n)−c(n)μ(n))],Δμ(n)=−a(n)μ(n)+b(n)N(n−m),
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where a : ℤ → (0, 1), c, k, r, b : ℤ → ℝ+ are all ω-periodic functions and m is a positive integer.
Keywords :
Difference equation , Positive periodic solution , Feedback control , Fredholm mapping
Journal title :
Applied Mathematics Letters
Journal title :
Applied Mathematics Letters