Oscillation criteria for delay difference equations

Electronic Journal of Differential Equations

Volumn 2001, Issue , 2001, Pages

  Shen, Jianhua ^a   Stavroulaki, I P ^b  

^a HUNAN NORMAL UNIVERSITY   (China)

^b UNIVERSITY OF IOANNINA   (Greece)

Author keywords

Delay difference equation; Non oscillation; Oscillation

Indexed keywords

EID: 52549101422     PISSN: 10726691     EISSN: 10726691     Source Type: Journal    
DOI: None     Document Type: Article

References (23)

1. R.P. Agarwal and P.J.Y. Wong, Advanced Topics in Difference Equations, Kluwer Academic Publishers, 1997.
2. Sui Sun Cheng and Guang Zhang, "Virus" in several discrete oscillation theorems, Applied Math. Letters, 13 (2000), 9-13.
3. Y. Domshlak, Sturmian comparison method in oscillation study for discrete difference equations, I, Differential and Integral Equations, 7 (1994), 571-582.
4. Y. Domshlak, Delay-difference equations with periodic coefficients: sharp results in oscillation theory, Math. Inequal. Appl., 1 (1998), 403-422.
5. Y. Domshlak, What should be a discrete version of the ChanturiaKoplatadze Lemma? Functional Differential Equations (to appear).
6. Y. Domshlak, Riccati Difference Equations with almost periodic coefficients in the critical state, Dynamic Systems AppL, 8 (1999), 389-399.
7. Y. Domshlak, The Riccati Difference Equations near "extremal" critical states, J. Difference Equations AppL, 6 (2000), 387-416.
8. A. Elbert and I.P. Stavroulakis, Oscillations of first order differential equations with deviating arguments, Univ. of loannina, T. R. N° 172 1990, Recent trends in differential equations 163-178, World Sci. Ser. Appl. Anal, World Sci. Publishing Co. (1992).
9. L. Erbe and B.C. Zhang, Oscillation of discrete analogues of delay equations, Differential and Integral Equations, 2 (1989), 300-309.
10. I. Györi and G. Ladas, Oscillation Theory of Delay Differential Equations with Applications, Clarendon Press, Oxford, 1991.
11. J. Jaros and I.P. Stavroulakis, Oscillation tests for delay equations, Rocky Mountain J. Math., 29 (1999), 197-207.
12. M. Kon, Y.G. Sficas and I.P. Stavroulakis, Oscillation criteria for delay equations, Proc. Amer. Math. Soc., 128 (2000), 2989-2997.
13. R. Koplatadze and T. Chanturia, On oscillatory and monotonie solutions of first order delay differential equations with deviating arguments, Differential'nye Uravnenija, 18 (1982), 1463-1465 (Russian).
14. M.K. Kwong, Oscillation of first-order delay equations, J. Math. Anal. Appl, 156 (1991), 274-286.
15. G. Ladas, Recent developments in the oscillation of delay difference equations, In International Conference on Differential Equations, Stability and Control, Dekker, New York, 1990.
16. G. Ladas, C. Philos and Y. Sficas, Sharp conditions for the oscillation of delay difference equations, J. Appl. Math. Simulation, 2 (1989), 101-112.
17. G.S. Ladde, V. Lakshmikantham and B.C. Zhang, Oscillation Theory of Differential Equations with Deviating Arguments, Marcel Dekker, New York, 1987.
18. B. Lalli and B.G. Zhang, Oscillation of difference equations, Colloquium Math., 65 (1993), 25-32.
19. Ch.G. Philos and Y.G. Sficas, An oscillation criterion for first order linear delay differential equations, Canad. Math. Bull, 41 (1998), 207-213.
20. I.P. Stavroulakis, Oscillation of delay difference equations, Computers Math. Applic., 29 (1995), 83-88.
21. X.H. Tang, Oscillations of delay difference equations with variable coefficients, (Chinese), J. Central South Univ. of Technology, 29 (1998), 287-288.
22. X.H. Tang and J.S. Yu, Oscillation of delay difference equations, Computers Math. Applic., 37 (1999), 11-20.
23. J.S. Yu, B.C. Zhang and X.Z. Qian, Oscillations of delay difference equations with oscillating coefficients, J. Math. Anal. Appl., 177 (1993), 432444.