Asymptotic Stability of Linear Delay Difference Equations Including Generalized Difference Operator

References (15)

1. Agarwal, R.P., Difference Equations and Inequalities, Marcel Dekker, New York, 2000
2. Cermak, J., Janskı, J. & Kundr ´ at, P., On necessary and sufficient conditions for the asymptotic stability of higher order linear difference equations, Journal of Difference Equations and Applications, 18(11)(2011), 1781–1800
3. Camouzis, E., Ladas, G., Dynamics of Third Order Rational Difference Equations with Open Problems and Conjectures, Chapman &Hall, 2008
4. Clark,C. W., A delay-recruitment model of populations dynamics with application to baleen whale populations, J. Math. Biol., 3(1976), 381–391
5. Dannan, F.M., Elaydi, S., Asymptotic stability of linear difference equation of advanced type, J. Comput. Anal. Appl., 6(2004), 173–187
6. Elaydi, S., An Introduction to Difference Equations, 3nd ed., Springer, 2000
7. Kelley, W.G., Peterson, A.C., Difference Equations. An Introduction with Applications, Academic Press inc, 1991
8. Kuruklis, S.A., The asymptotic stability of x(n+1) - ax(n) + bx(n-k) = 0, J. Math. Anal. Appl., 188(1994), 719–731
9. Levin, S., May, R., A note on difference-delay equations, Theoretical Population Biol., 9(1976), 178–187
10. Liz, E., On explicit conditions for the asymptotic stability of linear higher order difference equations, J. Math. Anal. Appl., 303(2005), 492–498
11. Matsunaga, H., Hara, T., The asymptotic stability of a two-dimensional linear delay difference equation, Dynam. Contin. Discrete Impuls. Systems, 6(1999), 465–473
12. Matsunaga, H., Ogita, R., Murakami, K., Asymptotic behavior of a system of higher order linear difference equations, Nonlinear Analysis, 47(2001), 4667-4677
13. Mickens, R.E., Difference Equations, Van Nostrand Reinhold Company, New York, 1990
14. Popenda, J., Szmanda, B., On the oscillation of solutions of certain difference equations, Demonstratio Mathematica, XVII(1984), 153–164
15. Popenda, J., Oscillation and nonoscillation theorems for second-order difference equations, J. Math. Anal. Appl., 123(1)(1987), 34–38.