Please use this identifier to cite or link to this item:
http://hdl.handle.net/20.500.11889/4022
DC Field | Value | Language |
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dc.contributor.author | Saleh, Mohammad | |
dc.contributor.author | Farahat, A. | |
dc.date.accessioned | 2017-01-04T10:07:49Z | |
dc.date.available | 2017-01-04T10:07:49Z | |
dc.date.issued | 2017 | |
dc.identifier.uri | http://hdl.handle.net/20.500.11889/4022 | |
dc.description.abstract | In this paper, we investigate the local and global stability and the period two solutions of all nonnegative solutions of the difference equation, xn+1 = axn + bxn−k A + Bxn−k where a, b, A, B are all positive real numbers, k ≥ 1 is a positive integer, and the initial conditions x−k , x−k+1, ..., x0 are nonnegative real numbers. It is shown that the zero equilibrium point is globally asymptotically stable under the condition a+b ≤ A, and the unique positive solution is also globally asymptotically stable under the condition a − b ≤ A ≤ a + b. By the end, we study the global stability of such an equation through numerically solved examples. | en_US |
dc.language.iso | en | en_US |
dc.publisher | J. Appl. Math. Comput. | en_US |
dc.subject | Differential equations, Nonlinear | en_US |
dc.subject | Fluid dynamics - Mathematical models | en_US |
dc.title | Global asymptotic stability of the higher order equation x_ {n+ 1}=\ frac {ax_ {n}+ bx_ {nk}}{A+ Bx_ {nk}} | en_US |
dc.type | Article | en_US |
newfileds.department | Science | en_US |
newfileds.item-access-type | open_access | en_US |
newfileds.thesis-prog | none | en_US |
newfileds.general-subject | none | en_US |
item.fulltext | With Fulltext | - |
item.languageiso639-1 | other | - |
item.grantfulltext | open | - |
Appears in Collections: | Fulltext Publications |
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art_10.1007_s12190-016-1029-4-aseel-spring.pdf | 427.03 kB | Adobe PDF | View/Open |
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