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On the Difference equation x n + 1 = a x n − l + b x n − k + c x n − s d x n − s − e
Author(s) -
ElDessoky Mohamed M.
Publication year - 2017
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3980
Subject(s) - mathematics , character (mathematics) , stability (learning theory) , mathematical physics , combinatorics , geometry , computer science , machine learning
The main objective of this paper was to study the global stability of the positive solutions and the periodic character of the difference equationx n + 1 = a x n − l + b x n − k + c x n − sd x n − s − e ,n = 0 , 1 , . . . ,where the parameters a , b , c , d , and e are positive real numbers and the initial conditions x − t , x − t + 1 ,..., x −1 , x 0 are positive real numbers where t = m a x { l , k , s }. Some numerical examples will be given to explicate our results. Copyright © 2016 John Wiley & Sons, Ltd.