Continuous and discrete Halanay-type inequalities

Bulletin of the Australian Mathematical Society

Volumn 61, Issue 3, 2000, Pages 371-385

  Mohamad, S ^a,b   Gopalsamy, K ^b  

^a UNIVERSITI BRUNEI DARUSSALAM   (Brunei Darussalam)

^b FLINDERS UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034195665     PISSN: 00049727     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0004972700022413     Document Type: Article

References (8)

1. R.P. Agarwal, Difference equations and inequalities: Theory, methods and applications (Marcel Dekker Inc., New York, 1992).
2. C.T.H. Baker and A. Tang, 'Generalised Halanay inequalities for Volterra functional differential equations and discretised versions', Numerical Analysis Report 229, (Manchester Center for Computational Mathematics, University of Manchester, England, 1996).
3. K.L. Cooke and I. Györi, 'Numerical approximation of the solutions of delay differential equations on an infinite interval using piecewise constant arguments', Comp. Math. Appl. 28 (1994), 81-92.
4. K. Gopalsamy, Stability and oscillations in delay differential equations of population dynamics (Kluwer Academic Publishers, Dordrecht, The Netherlands, 1992).
5. A. Halanay, Differential equations: stability, oscillations, time lags (Academic Press, New York, 1966).
6. V. Lakshmikantham and S. Leela, Differential and integral inequalities: Theory and applications. Vol. I: Ordinary differential equations (Academic Press, New York, 1969).
7. V. Lakshmikantham and S. Leela, Differential and integral inequalities: Theory and applications. Vol. II: Functional, partial, abstract, and complex eifferential equations (Academic Press, New York, 1969).
8. W. Walter, Differential and integral inequalities (Springer-Verlag, Berlin, Heidelberg, New York, 1970).