Author_Institution :
Coll. of Math. & Phys., Chongqing Univ. of Posts & Telecommun., Chongqing, China
Abstract :
In this paper we study the globally asymptotic stability of the equilibrium point for the nonlinear difference equation xn+1= (axn-lxn-k)/(bxn-s + cxn-t), n = 0, 1, hellip, where the initial conditions x-r, x-r+1, hellip , x1, x0 are arbitrary positive real numbers. l, k, s, t are nonnegative integers, r = max{l, k, s, t}, and a, b, c are positive constants. Finally, some numerical simulations are given to illustrate our results.
Keywords :
asymptotic stability; difference equations; nonlinear differential equations; numerical stability; equilibrium point; fractional difference equation; global asymptotic stability; nonlinear difference equation; nonnegative integer; numerical simulation; positive constant; positive real number; Asymptotic stability; Delay; Difference equations; Differential equations; Educational institutions; Educational technology; Environmental factors; Numerical simulation; Physics; Sequences;
