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- Title
Qualitative Behavior of Rational Difference Equation of Big Order.
- Authors
El-Dessoky, M. M.
- Abstract
We investigate the global convergence, boundedness, and periodicity of solutions of the recursive sequence xn+1 = (axn-l + bxn-x)/(c + dxn-lxn-k), n = 0,1,..., where the parameters a, b, c, and d are positive real numbers, and the initial conditions x-t, x-t+1,..., x-1 and x0 are positive real numbers where t = max {k,l}.
- Subjects
NUMERICAL solutions to difference equations; QUALITATIVE research; STOCHASTIC convergence; GLOBAL analysis (Mathematics); MATHEMATICAL bounds; RECURSIVE sequences (Mathematics); REAL numbers
- Publication
Discrete Dynamics in Nature & Society, 2013, p1
- ISSN
1026-0226
- Publication type
Article
- DOI
10.1155/2013/495838