Title of article :
Stability of the Gumowski–Mira equation
with period-two coefficient
Author/Authors :
C.A. Clark، نويسنده , , E.J. Janowski، نويسنده , , M.R.S. Kulenovi´c ?، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2005
Abstract :
We investigate the stability of solutions of the Gumowski–Mira equation with a period-two coefficient:
yn+1 =
yn
bn + y2
n −yn−1, n= 0, 1, . . . , with bn = α 0 forn = 2k,
β 0 forn = 2k + 1,
k = 0, 1, . . . ,
and the initial values y−1, y0 are real numbers.
2004 Elsevier Inc. All rights reserved
Keywords :
stability , Periodic coefficient , Invariant , Lyapunov function , Difference equation
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications