Mathematics
E. Camouzis, G. Ladas, H. Voulov
tlooto Summary
Investigates global stability, periodic character, and boundedness of solutions to a difference equation under varying parameters and initial conditions.
Abstract
We investigate the global stability, the periodic character and the boundedness nature of solutions of the equation in the title for all admissible nonnegative values of the parameters and the initial conditions. We show that the solutions exhibit a trichotomy character depending on how the parameter γ compares to the sum of the parameters δ and A.
Citation format
CAMOUZIS, E.; LADAS, G.; VOULOV, H. On the dynamics of. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2003, 9: 731–738.