Positive Periodic Solutions of Nonlinear First-Order Functional Difference Equations

Positive Periodic Solutions of Nonlinear First-Order Functional Difference Equations

We consider the existence, multiplicity, and nonexistence of positive T-periodic solutions for the difference equations Δx(n)=a(n)g(x(n))x(n)-λb(n)f(x(n-τ(n))), and Δx(n)+a(n)g(x(n))x(n)=λb(n)f(x(n-τ(n))), where a,b:ℤ→[0,∞) are T-periodic, τ:ℤ→ℤ is T-periodic.

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Veröffentlicht in:Discrete Dynamics in Nature and Society 2010-01, Vol.2010, p.696-710
Hauptverfasser: Ma, Ruyun, Chen, Tianlan, Lu, Yanqiong
Format: Artikel
Sprache:eng
Schlagworte:
Banach spaces
Mathematics
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Zusammenfassung:We consider the existence, multiplicity, and nonexistence of positive T-periodic solutions for the difference equations Δx(n)=a(n)g(x(n))x(n)-λb(n)f(x(n-τ(n))), and Δx(n)+a(n)g(x(n))x(n)=λb(n)f(x(n-τ(n))), where a,b:ℤ→[0,∞) are T-periodic, τ:ℤ→ℤ is T-periodic.
ISSN:1026-0226
1607-887X
DOI:10.1155/2010/419536