Global behavior of the solutions of some difference equations

By Elmetwally M. Elabbasy, Hamdy A. El-Metwally, Elsayed M. Elsayed. 2011

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AbstractIn this article we study the difference equation xn+1=axn-lxn-kbxn-p-cxn-q,n=0,1,…, where the initial conditions x-r, x-r+1, x-r+2,..., x0 are arbitrary positive real numbers, r = max{l, k, p, q} is nonnegative integer and a, b, c are positive constants: Also, we study some special cases of this equation.

Subfields: Applied Mathematics, Geometry and Topology, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/a080095d6cef4d7bed34a33a5aa7b640d14eb90f