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1. 7. 2005.
Stability of the Gumowski-Mira equation with period-two coefficient
Abstract We investigate the stability of solutions of the Gumowski–Mira equation with a period-two coefficient: y n + 1 = y n b n + y n 2 − y n − 1 , n = 0 , 1 , … , with b n = { α ⩾ 0 for n = 2 k , β ⩾ 0 for n = 2 k + 1 , k = 0 , 1 , … , and the initial values y −1 , y 0 are real numbers.