Add to ORKGWe revisit the known counterexamples and the state of the art of the Markus-Yamabe and LaSalle’s problems on global asymptotic stability of discrete dynamical systems. We also provide new counterexamples, associated to difference equations, for some of these problems.
ABSTRACT. Some new nonlinear discrete analogue of the continuous Halanay inequality are established....
In my first manuscript, I investigate the global character of the difference equation of the form xn...
We investigate the global asymptotic stability of the difference equation of the form x n+1 = Ax n2 ...
We revisit the known counterexamples and the state of the art of the Markus-Yamabe and LaSalle's pro...
AbstractSeveral types of discrete physical systems are characterized by difference equations. An oft...
AbstractFor a discrete dynamical system xn+1=Txn on M⊂Rr some general conditions will be specified u...
Communicated by R. P. Agarwal Abstract-In this note, we prove a discrete analogue of the continuous ...
AbstractFor the nonlinear discrete dynamical system xk+1=Txk on bounded, closed and convex set D⊂Rn,...
We derive new nonlinear discrete analogue of the continuous Halanay-type inequality. These inequali...
We investigate the global character of the difference equation of the form xn+1 = f(xn, xn –1), n = ...
AbstractIn this note, we prove a discrete analogue of the continuous Halanay inequality and apply it...
This book comprises selected papers of the 25th International Conference on Difference Equations and...
AbstractIn this note we prove that the positive solutions of some classes of rational difference equ...
This paper deals with the global asymptotic stability of the unique positive equilibrium point and t...
AbstractWe establish oscillation results and prove global asymptotic stability for the following dif...
ABSTRACT. Some new nonlinear discrete analogue of the continuous Halanay inequality are established....
In my first manuscript, I investigate the global character of the difference equation of the form xn...
We investigate the global asymptotic stability of the difference equation of the form x n+1 = Ax n2 ...
We revisit the known counterexamples and the state of the art of the Markus-Yamabe and LaSalle's pro...
AbstractSeveral types of discrete physical systems are characterized by difference equations. An oft...
AbstractFor a discrete dynamical system xn+1=Txn on M⊂Rr some general conditions will be specified u...
Communicated by R. P. Agarwal Abstract-In this note, we prove a discrete analogue of the continuous ...
AbstractFor the nonlinear discrete dynamical system xk+1=Txk on bounded, closed and convex set D⊂Rn,...
We derive new nonlinear discrete analogue of the continuous Halanay-type inequality. These inequali...
We investigate the global character of the difference equation of the form xn+1 = f(xn, xn –1), n = ...
AbstractIn this note, we prove a discrete analogue of the continuous Halanay inequality and apply it...
This book comprises selected papers of the 25th International Conference on Difference Equations and...
AbstractIn this note we prove that the positive solutions of some classes of rational difference equ...
This paper deals with the global asymptotic stability of the unique positive equilibrium point and t...
AbstractWe establish oscillation results and prove global asymptotic stability for the following dif...
ABSTRACT. Some new nonlinear discrete analogue of the continuous Halanay inequality are established....
In my first manuscript, I investigate the global character of the difference equation of the form xn...
We investigate the global asymptotic stability of the difference equation of the form x n+1 = Ax n2 ...