Connection Between Continuous and Discrete Delay and Halanay type Inequalities

Author:

Győri István,Horváth László

Publisher

Springer Singapore

Reference20 articles.

1. Agarwal, R.P., Kim, Y.H., Sen, S.K.: New discrete Halanay inequalities: stability of difference equations. Commun. Appl. Anal. 12, 83–90 (2008)

2. Agarwal, R.P., Kim, Y.H., Sen, S.K.: Advanced discrete Halanay-type inequalities: stability of difference equations. J. Inequal. Appl. 11 (2009), Art. ID 535849

3. Baker, C.T.H.: Development and application of Halanay-type theory: evolutionary differential and difference equations with time lag. J. Comput. Appl. Math. 234, 2663–2682 (2010)

4. Baker, C.T.H., Tang, A.: Generalized Halanay inequalities for Volterra functional differential equations and discretized versions. Volterra Equations and Applications (Arlington, Tex, Stability Control Theory Methods Appl., vol. 10. Gordon and Breach, Amsterdam 2000, 39–55 (1996)

5. Cooke, K.L., Győri, I.: Numerical approximation of the solutions of delay differential equations on an infinite interval using piecewise constant arguments. Comput. Math. Appl. 28, 81–92 (1994)

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1. Sharp estimation for the solutions of inhomogeneous delay differential and Halanay type inequalities;Electronic Journal of Qualitative Theory of Differential Equations;2018

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