Oscillations of first order delay dynamic equations

Dynamic Systems and Applications

Volumn 15, Issue 3-4, 2006, Pages 645-656

  Sahiner Y ^a   Stavroulakis, I P ^b  

^a UNIVERSITY OF IOANNINA   (Greece)

^b ATILIM UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 61549108991     PISSN: 10562176     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (19)

1. M. Bohner and A. Peterson, Dynamic Equations on Time Scales: An Introduction with Applications, Birkhäuser, Boston, 2001.
2. M. Bohner and A. Peterson, Advances in Dynamic Equations on Time Scales, Birkhauser, Boston, 2003.
3. M. Bohner, Some Oscillation Criteria for First Order Delay Dynamic Equations, for East J. Appl. Math., 18(3):289-304, 2005.
4. L.H. Erbe and B.G. Zhang, Oscillation for First Order Linear Differential Equations with Deviating Arguments, Differential Integral Equations, 1:305-314,1988.
5. L.H. Erbe and B.G. Zhang, Oscillation of Discrete Analogues of Delay Equations, Differential Integral Equations, 2:300-309,1989.
6. Y. Domshlak, What Should Be a Discrete Version of the ChanturiarKoplatadze Lemma, Fund. Differ. Equ., 6:299-304, 1999.
7. S. Hilger, Ein Maßkettenkalkul mit Anwendung auf Zentrumsmannigfaltigkeiten, PhD thesis, Universität Wurzburg, 1988.
8. S. Hilger, Analysis on Measure Chains - A unified Approach to Continuous and Discrete Calculus, Results Math., 18:18-56, 1990.
9. R.G. Koplatadze and T.A. Chanturia, About Oscillatory and Monotone Solutions of the First Order Delay Differential Equations, Differ. Uravn., 18(8):1463-1465,1982.
10. G. Ladas, Sharp Conditions for Oscillations Caused by Delay, Appl. Anal., 9:93-98, 1979.
11. G. Ladas, V. Lakshmikantham and J.S. Papadakis, Oscillation of Higher Order Retarded Differential Equations Generated by Retarded Arguments, Delay and Functional Differential Equations and Their Applications, Academic Press, New York, 1972, 219-231.
12. G. Ladas, Ch.G. Philos and Y.G. Sficas, Sharp Conditions for the Oscillation of Delay Difference Equations, J. Appl. Math. Simulation, 2:101-112, 1989.
13. R.M. Mathsen, Q. Wang and H. Wu, Oscillation for Neutral Dynamic Functional Equations on Time Scales, J. Differ. Equations Appl., 10(7):651-659, 2004.
14. Y. Şahiner, Oscillation of second-order delay differential equations on time scales, Nonlinear Anal., (in press).
15. Y.G. Sficas and LP. Stavroulakis, Oscillation Criteria for First Order Delay Equations, Bull. London Math. Soc., 35:239-246, 2003.
16. LP. Stavroulakis, Oscillations of Delay Difference Equations, Comput. Math. Appl., 29:83-88, 1995.
17. LP. Stavroulakis, Oscillation Criteria for First Order Delay Difference Equations, Mediterr. J. Math., 1:231-240, 2004.
18. B.G. Zhang and X. Deng, Oscillation of Delay Differential Equations on Time Scales, Math. Comput. Modelling, 36:1307-1318, 2002.
19. B.G. Zhang and F. Lian, The Distribution of Generalized Zeros of Solutions of Delay Differential Equations on Time Scales, J. Differ. Equations Appl., 10(8):759-771, 2004.