Stability criteria for a class of linear delay partial difference equations

Computers and Mathematics with Applications

Volumn 38, Issue 2, 1999, Pages 37-43

  Zhang, B G ^a   Tian, Chuan Jun ^b  

^a OCEAN UNIVERSITY OF CHINA   (China)

^b SOUTH CHINA UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENCE EQUATIONS; LINEAR EQUATIONS; PROBLEM SOLVING; STABILITY CRITERIA;

LINEAR DELAY EQUATION; STABLE EQUATION; UNSTABLE EQUATION;

PARTIAL DIFFERENTIAL EQUATIONS;

EID: 0033164882     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(99)00180-7     Document Type: Article

References (17)

1. 1. R.P. Agarwal, Difference Equations and Inequalities, Marcel Dekker, New York, (1992).
2. 2. S. Elaydi and S. Zhang, Stability and periodicity of difference equations with finite delay, Funkcial Ekvac 37, 401-413, (1994).
3. 3. L.H. Erbe, H. Xia and J.S. Yu, Global stability of a linear nonautonomous delay difference equation, J. of Difference Eqs. and Appl. (2), 151-161, (1995).
4. 4. G. Ladas, C. Qian, P.N. Vlahos and J. Yan, Stability of solutions of linear nonautonomous difference equations, Appl. Anal. 41, 183-191, (1991).
5. 5. S. Zhang, Stability of infinite delay difference systems, Nonlinear Analysis, Theory, Methods and Applications 22 (9), 1121-1129, (1994).
6. 6. W.F. Ames, Numerical Methods for Partial Differential Equations, Academic Press, New York, (1992).
7. 7. W.G. Kelley and A.C. Peterson, Difference Equations, Academic Press, New York, (1991).
8. 8. Y.Z. Lin and S.S. Cheng, Stability criteria for two partial difference equations, Computers Math. Applic. 32 (7), 87-103, (1996).
9. 9. R. Courant, K. Friedrichs and H. Lewy, On the partial difference equations of mathematical physics, IBM J. 11, 215-234, (1967).
10. 10. X.P. Li, Partial difference equations used in the study of molecular orbits, (in Chinese), Acta Chim. SINICA 40, 688-698, (1982).
11. 11. B.G. Zhang, S.T. Liu and S.S. Cheng, Oscillation of a class of delay partial difference equations, J. Difference Equations and its Applications 1, 215-226, (1995).
12. 12. B.G. Zhang and S.T. Liu, On the oscillation of two partial difference equations, J. Math. Anal. Appl. 206, 480-492, (1997).
13. 13. B.G. Zhang and S.T. Liu, Oscillation of partial difference equations, PanAmerican Math. J. 5 (2), 61-70, (1995).
14. 14. B.G. Zhang and S.T. Liu, Necessary and sufficient conditions for oscillations of partial difference equations, Nonlinear Studies 3 (2), 187-192, (1996).
15. 15. B. Zhang and C.J. Tian, On the global attractivity of partial difference equations, J. of Ocean University of Qingdao (to appear).
16. 16. S.L. Xie and S.S. Cheng, Stability criteria for parabolic type partial difference equations, J. Comput. Math. Appl. 75, 57-66, (1996).
17. 17. G. Berman and K.D. Fryer, Introduction to Combinatories, Academic Press, New York, (1972).