Asymptotic stability of linear difference equations of advanced type

Journal of Computational Analysis and Applications

Volumn 6, Issue 2, 2004, Pages 173-187

  Dannan, Fozi M ^a   Elaydi, Saber N ^b  

^a QATAR UNIVERSITY   (Qatar)

^b TRINITY UNIVERSITY   (United States)

Author keywords

Advanced type; Asymptotic stability; Difference equations

Indexed keywords

EID: 2642517422     PISSN: 15211398     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

1. C.W. Clark , A delay-recruitment model of population dynamics, with an application to baleen whale populations, J. Math. Biol. 3 (1976), 381-391.
2. S.N.Elaydi , An Introduction to Difference Equations, Second Edition, Springer-Verlag, New York, 1999.
3. I. Gyori , G. Ladas , Oscillation Theory of Delay Differential Equations with Applications, Clarendon Press . Oxford, 1991.
4. V.L.Kocic , G. Ladas , Global behavior of nonlinear difference equations of hogher order with applications,Kluwer Academic Publishers, Dordrecht, 1993.
5. S.A. Kuruklis, The asymptotic stability of x (n + 1) - ax (n) + bx (n - k) = 0, J. Math. Anal. Appl., 188, 719-731 (1994).
6. S. A. Levin, R. May, A note on difference-delay equations, Theor. Pop. Biol., 9: 178-187, 1976.
7. H. Matsunaga and T. Hara, The asymptotic stability of a two-dimensional linear delay difference equations, Dynamics of Continuous, Discrete and Impulsive Systems 6(1999), 465-473.
8. J. Wiener, Generalized solutions of functional differential equations, World Scientific, Singapore, 1993.