Qualitative Study of Solutions of Some Difference Equations | Zendy

H. El-Metwally | Zendy; E. M. Elsayed | Zendy

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Qualitative Study of Solutions of Some Difference Equations

Author(s) -

H. El-Metwally,

E. M. Elsayed

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/248291

Subject(s) - font , mathematics , matrix (chemical analysis) , combinatorics , style (visual arts) , arithmetic , computer science , artificial intelligence , materials science , art , composite material , literature

We obtain in this paper the solutions of the following recursive sequences +1=−3/−2(±1±−3), =0,1,…, where the initial conditions are arbitrary real numbers and we study thebehaviors of the solutions and we obtained the equilibrium points of theconsidered equations. Some qualitative behavior of the solutions such as theboundedness, the global stability, and the periodicity character of the solutionsin each case have been studied. We presented some numerical examples by giving some numerical valuesfor the initial values and the coefficients of each case. Some figures have beengiven to explain the behavior of the obtained solutions in the case of numerical examples by using the mathematical program Mathematica to confirm theobtained results

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