Existence of a unique bounded solution to a linear second-order difference equation and the linear first-order difference equation
Abstract We present some interesting facts connected with the following second-order difference equation: x n + 2 − q n x n = f n , n ∈ N 0 , $$x_{n+2}-q_{n}x_{n}=f_{n},\quad n\in \mathbb{N}_{0}, $$ where ( q n ) n ∈ N 0 $(q_{n})_{n\in\mathbb{N}_{0}}$ and ( f n ) n ∈ N 0 $(f_{n})_{n\in\mathbb {N}_{0...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-06-01
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| Series: | Advances in Difference Equations |
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| Online Access: | http://link.springer.com/article/10.1186/s13662-017-1227-x |