On the Difference Equation xn+1=∑j=0kajfj(xn−j)
This paper studies the boundedness character and the global attractivity of positive solutions of the difference equation xn+1=∑j=0kajfj(xn−j),n∈ℕ0, where aj are positive numbers and fj are continuous decreasing self-maps of the interval (0,∞) for j=0,1,…,k.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2007-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2007/75262 |
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| _version_ | 1832551387261566976 |
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| author | Stevo Stevic |
| author_facet | Stevo Stevic |
| author_sort | Stevo Stevic |
| collection | DOAJ |
| description | This paper studies the boundedness character and the global
attractivity of positive solutions of the difference equation xn+1=∑j=0kajfj(xn−j),n∈ℕ0, where aj are positive numbers and fj are continuous decreasing self-maps of the interval (0,∞) for j=0,1,…,k. |
| format | Article |
| id | doaj-art-3425e4f3ef9b4113b3046617a8cccc14 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2007-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-3425e4f3ef9b4113b3046617a8cccc142025-02-03T06:01:37ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2007-01-01200710.1155/2007/7526275262On the Difference Equation xn+1=∑j=0kajfj(xn−j)Stevo Stevic0Mathematical Institute of the Serbian Academy of Science, Knez Mihailova 35/I, Beograd 11000, SerbiaThis paper studies the boundedness character and the global attractivity of positive solutions of the difference equation xn+1=∑j=0kajfj(xn−j),n∈ℕ0, where aj are positive numbers and fj are continuous decreasing self-maps of the interval (0,∞) for j=0,1,…,k.http://dx.doi.org/10.1155/2007/75262 |
| spellingShingle | Stevo Stevic On the Difference Equation xn+1=∑j=0kajfj(xn−j) Discrete Dynamics in Nature and Society |
| title | On the Difference Equation xn+1=∑j=0kajfj(xn−j) |
| title_full | On the Difference Equation xn+1=∑j=0kajfj(xn−j) |
| title_fullStr | On the Difference Equation xn+1=∑j=0kajfj(xn−j) |
| title_full_unstemmed | On the Difference Equation xn+1=∑j=0kajfj(xn−j) |
| title_short | On the Difference Equation xn+1=∑j=0kajfj(xn−j) |
| title_sort | on the difference equation xn 1 ∑j 0kajfj xn j |
| url | http://dx.doi.org/10.1155/2007/75262 |
| work_keys_str_mv | AT stevostevic onthedifferenceequationxn1j0kajfjxnj |