Positive nonlinear difference equations

Nonlinear Analysis, Theory, Methods and Applications

Volumn 30, Issue 1, 1997, Pages 301-308

  Krause, Ulrich ^a  

^a UNIVERSITY OF BREMEN   (Germany)

Author keywords

Global asymptotic stability; Non autonomous equations; Nonlinear difference equations; Path stability; Poincar 's Theorem; Stability trichotomy

Indexed keywords

EID: 0000998396     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(96)00274-X     Document Type: Article

References (13)

1. AGARWAL R.P., Difference Equations and Inequalities, Marcel Dekker, New York (1992).
2. ELAYDI S., An Introduction to Difference Equations, Springer, New York (1996).
3. FUJIMOTO T. & KRAUSE U., Strong ergodicity for strictly increasing nonlinear operators, Lin. Alg. Appl. 71, 101-112 (1985).
4. KELLEY W.G. & PETERSON A.C., Difference Equations, Academic Press, Boston (1991).
5. KOCIC V.L., LADAS G. & RODRIGUES I.W., On rational recursive sequences, J.Math. Anal.Appl. 173, 127-157 (1993).
6. KOCIC V.L. & LADAS G., Global Behavior of Nonlinear Difference Equations of Higher Order with Applications, Kluwer Academic Publishers, Dordrecht (1993).
7. KRAUSE U., Relative stability for ascending and positively homogeneous operators on Banach spaces, J. Math. Anal. Appl. 188, 182-202 (1994).
8. KRAUSE U., Stability trichotomy, path stability, and relative stability for positive nonlinear difference equations of higher order, J. Difference Equations and Applications 1, 323-346 (1995).
9. KRAUSE U., Positive nonlinear systems: some results and applications, in Proceedings of the First World Congress of Nonlinear Analysts 1992 (Edited by V. LAKSHMIKANTHAM), pp. 1529-1539, W. de Gruyter, Berlin (1996).
10. KRAUSE U., A theorem of Poincaré type for non-autonomous nonlinear difference equations, in Proceedings of the Second International Conference on Difference Equations 1995 (Edited by I. GYÖRY), Veszprém (1995), to appear.
11. KRAUSE U. & NUSSBAUM R.D., A limit set trichotomy for self-mappings of normal cones in Banach spaces, Nonlinear Analysis 20, 855-870 (1993).
12. LADAS G., Open problems and conjectures, in Proceedings of the First International Conference on Difference Equations 1994, (Edited by S.N. ELAYDI, J.R. GRAEF, G. LADAS, A.C. PETERSON), pp. 337-349, Gordon and Breach Publishers, Luxembourg (1995).
13. PIELOU E.C., An Introduction to Mathematical Ecology, Wiley Interscience, New York (1969).