Oscillation analysis of neutral difference equations with delays

Chaos, Solitons and Fractals

Volumn 39, Issue 1, 2009, Pages 261-270

  Öcalan, Özkan ^a   Duman, Oktay ^b  

^a AFYON KOCATEPE UNIVERSITY   (Turkey)

^b TOBB UNIVERSITY OF ECONOMICS AND TECHNOLOGY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

MATLAB;

MATLAB PROGRAMMING; NEUTRAL DIFFERENCE EQUATIONS; OSCILLATION ANALYSIS; OSCILLATION CRITERION; POSITIVE SOLUTION;

DIFFERENCE EQUATIONS;

EID: 60649114910     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2007.01.094     Document Type: Article

References (15)

1. Balanov A.G., Janson N.B., McClintock P.V.E., Tucker R.W., and Wang C.H.T. Bifurcation analysis of a neutral delay differential equation modelling the torsional motion of a driven drill-string. Chaos, Solitons & Fractals 15 (2003) 381-394
2. Bellen A., Guglielmi N., and Ruehli A.E. Methods for linear systems of circuit delay differential equations of neutral type. IEEE Trans Circ Syst-I 46 (1999) 212-216
3. Elabbasy E.M., Hegazi A.S., and Saker S.H. Oscillation of solutions to delay differential equations with positive and negative coefficients. Electron J Diff Equations 13 (2000) 1-13
4. Gopalsamy K. Stability and oscillations in population dynamics (1992), Kluwer Academic Publishers, Boston
5. Ladas L. Oscillation of difference equations with positive and negative coefficients. Rocky Mountain J Math 20 (1990) 1051-1061
6. Luo Z.G., and Shen J.H. Oscillation and nonoscillation of neutral differential equations with positive and negative coefficients. Czech Math J 54 (2004) 79-93
7. Qian C., and Ladas G. Oscillatory behavior of difference equations with positive and negative coefficients. Le Math 44 (1989) 293-309
8. Chen M., and Zhang B.G. Oscillation and comparison theorems of difference equations with positive and negative coefficients. Bull Institute Math Acad Sinica 22 (1994) 295-306
9. Zhang B.G., and Wang H. The existence of oscillatory and non-oscillatory solutions of neutral difference equations. Chinese J Math 24 (1996) 377-393
10. Li W.T., and Cheng S.S. An oscillation theorem for a neutral difference equation with positive and negative coefficients. Tamkang J Math 30 (1999) 39-45
11. Tang X.H., Yu J.S., and Peng D.H. Oscillation and nonoscillation of neutral difference equations with positive and negative coefficients. Comput Math Appl 39 (2000) 169-181
12. Tian J.C., and Cheng S.S. Oscillation criteria for delay neutral equations with positive and negative coefficients. Bol Soc Parana Math 21 (2003) 19-30
13. Xiong W., and Liang J. Novel stability criteria for neutral systems with multiple time delays. Chaos, Solitons & Fractals 32 (2007) 1735-1741
14. Zhou J., Chen T., and Xiang L. Robust synchronization of delayed neural networks based on adaptive control and parameters identification. Chaos, Solitons & Fractals 27 (2006) 905-913
15. Zhang Q., Wei X., and Xu J. Stability analysis for cellular neural networks with variable delays. Chaos, Solitons & Fractals 28 (2006) 331-336