On a new extension of Liapunov’s direct method to discrete equations

Author:

Carvalho L. A. V.,Ferreira Raimundo R.

Abstract

In this paper, a new procedure is given for applying Liapunov’s direct method to autonomous discrete equations. This procedure is based on an idea that is closely related to Razumikhin’s principle and it includes Liapunov’s direct method as a special case. Examples are given.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Reference8 articles.

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1. Stability analysis of discrete systems;International Applied Mechanics;2000-07

2. Collapsible Backward Continuation and Numerical Approximations in a Functional Differential Equation;Journal of Differential Equations;1998-02

3. On quadratic Liapunov functionals for linear difference equations;Linear Algebra and its Applications;1996-06

4. On dichotomic maps for a class of differential-difference equations;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;1991

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