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.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2010-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2010/419536 |
| Summary: | 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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| ISSN: | 1026-0226 1607-887X |