Global attractivity of a nonautonomous logistic difference equation with delay

Computers and Mathematics with Applications

Volumn 38, Issue 7, 1999, Pages 57-64

  Zhou, Zhan ^a   Zhang, Qinqin ^a  

^a HUNAN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; MATHEMATICAL OPERATORS; THEOREM PROVING;

GLOBAL ATTRACTIVITY; LOGISTIC DIFFERENCE EQUATION;

DIFFERENCE EQUATIONS;

EID: 0033204406     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(99)00238-2     Document Type: Article

References (18)

1. M.P. Chen and J.S. Yu, Oscillation and global attractivity in a delay logistic difference equation, J. Differ. Equations Appl. 1, 227-237, (1995).
2. G. Ladas, C. Qian, P.N. Vlahos and J. Yan, Stability of solutions of linear nonautonomous difference equations, Appl. Anal. 41, 183-191, (1991).
3. V.L.J. Kocic and G. Ladas, Global attractivity in nonlinear delay difference equations, Proc. Amer. Math. Soc. 115, 1083-1088, (1992).
4. L. H. Erbe, H. Xia and J.S. Yu, Global stability of a linear nonautonomous delay difference equation, J. Differ. Equations Appl. 1, 151-161, (1995).
5. Z. Zhou and Q.Q. Zhang, Uniform stability of nonlinear difference systems, J. Math. Anal. Appl. 225, 486-500, (1998).
6. I. Gyori, G. Ladas and P.N. Vlahos, Global attractivity in a delay difference equation, Nonl. Anal., TMA 17, 473-479, (1991).
7. Ch.G. Philos, Oscillations in a nonautonomous delay logistic difference equation, Proceedings of the Edinburgh Mathematical Society 35, 121-131, (1992).
8. L.H. Erbe and B.G. Zhang, Oscillation of discrete analogue of delay equations, Differential and Integral Equations 2, 300-309, (1989).
9. J.S. Yu, B.G. Zhang and Z.C. Wang, Oscillation of delay difference equations, Applicable Analysis 53, 117-124, (1994).
10. V.L.J. Kocic and G. Ladas, Global Behavior of Nonlinear Difference Equations of Higher Order with Applications, Kluwer Academic, (1993).
11. R.P. Agarwal, Difference Equations and Inequalities: Theory, Method and Applications, Marcel Dekker, New York, (1992).
12. R.P. Agarwal and P.J.Y. Wong, Advanced Topics in Difference Equations, Kluwer, Dordrecht, (1997).
13. Ch.G. Philos, Oscillation of some difference equations, Funkcialaj Ekvacioj 34, 157-172, (1991).
14. K. Gopalsamy, Stability and Oscillations in Delay Differential Equations of Population Dynamics, Kluwer Academic, Boston, (1992).
15. Y. Kuang, Delay Differential Equations with Applications in Population Dynamics, Academic Press, Boston, (1993).
16. Y. Kuang, Global stability for a class of nonlinear nonautonomous delay equations, Nonl. Anal., TMA 17, 627-634, (1991).
17. Y. Kuang, B.G. Zhang and T. Zhao, Qualitative analysis of a nonautonomous nonlinear delay differential equation, Tohoku Math. J. 43, 509-528, (1991).
18. J.S. Yu, Global attractivity of the zero solution of a class of functional differential equations and its applications, Science in China (Series A) 26, 23-33, (1996).