Continuous and discrete Halanay-type inequalities

New discrete Halanay-type inequalities and applications

In this paper, we introduce some new discrete type Halanay inequalities which extend the existing results. On the basis of these inequalities, we discuss the global stability of discrete neural networks with time-varying delays. © 2012 Elsevier Ltd. All rights reserved.

Advanced Discrete Halanay-Type Inequalities: Stability of Difference Equations

Some Discrete Poincaré-type Inequalities

Some discrete analogue of Poincaré-type integral inequalities involving many functions of many independent variables are established. These in turn can serve as generators of further interesting discrete inequalities. 2000 Mathematics Subject Classification. Primary 39A10, 39A12, 39B72.

Volterra Discrete Inequalities of Bernoulli Type

Some Discrete Fractional Lyapunov–type Inequalities

In this work we obtain Lyapunov-type inequalities for two-point conjugate and rightfocal boundary value problems depending on discrete fractional operators Δα , 1 < α 2 .