Periodic solutions of the rational difference equation
Berenhaut, Kenneth S.; Dice, Jennifer E.; Foley, John D.; Iričanin, Bratislav; Stević, Stevo; Berenhaut, Kenneth S.; Wake Forest University, Department of Mathematics; Dice, Jennifer E.; Wake Forest University, Department of Mathematics; Foley, John D.; Wake Forest University, Department of Mathematics; Iričanin, Bratislav; Faculty of Electrical Engineering; Stević, Stevo; Mathematical Institute of the Serbian Academy of Science
Журнал:
Journal of Difference Equations and Applications
Дата:
2006
Аннотация:
This paper studies the behavior of positive solutions of the recursive equationwith We prove that every positive solution {y <sub> i </sub>} converges to a period two solution or to the equilibrium . This result answers Open Problem 11.4.8 (a) in Kulenović and Ladas, 2002 Dynamics of Second Order Rational Difference Equations. With Open Problems and Conjectures (Boca Raton:Chapman and Hall/CRC).
96.90Кб