AbstractIn this note, we prove a discrete analogue of the continuous Halanay inequality and apply it to derive sufficient conditions for the global asymptotic stability of the equilibrium of certain generalized difference equations. The relation with some numerical schemes for functional delay differential equations is discussed
Trofimchuk, S.Instituto de Matemática y Física, Universidad de Talca, Casilla 747, Talca, ChileWe ad...
Abstract A class of scalar nonlinear difference equations with delay is considered. Sufficient condi...
International audienceWe provide a new generalization of a recent trajectory-based approach for prov...
Communicated by R. P. Agarwal Abstract-In this note, we prove a discrete analogue of the continuous ...
We derive new nonlinear discrete analogue of the continuous Halanay-type inequality. These inequali...
We derive new nonlinear discrete analogue of the continuous Halanay-type inequality. These inequalit...
ABSTRACT. Some new nonlinear discrete analogue of the continuous Halanay inequality are established....
In this paper, by using a novel approach, we first prove a new generalization of discrete-type Halan...
AbstractIn this work, we introduce discrete type inequalities. On the basis of these inequalities, w...
We consider the family of nonlinear difference equations: , , where for , , and the initia...
International audienceWe present a generalized form of Halanay's inequality, having a time varying g...
International audienceWe present a generalized form of Halanay's inequality, having a time varying g...
In this paper, we generalize the main theorem of Liz and Ferreiro [E. Liz, J.B. Ferreiro, A note on ...
In this paper, we generalize the main theorem of Liz and Ferreiro [E. Liz, J.B. Ferreiro, A note on ...
In this paper, a general class of Halanay-type non-autonomous functional differential inequalities i...
Trofimchuk, S.Instituto de Matemática y Física, Universidad de Talca, Casilla 747, Talca, ChileWe ad...
Abstract A class of scalar nonlinear difference equations with delay is considered. Sufficient condi...
International audienceWe provide a new generalization of a recent trajectory-based approach for prov...
Communicated by R. P. Agarwal Abstract-In this note, we prove a discrete analogue of the continuous ...
We derive new nonlinear discrete analogue of the continuous Halanay-type inequality. These inequali...
We derive new nonlinear discrete analogue of the continuous Halanay-type inequality. These inequalit...
ABSTRACT. Some new nonlinear discrete analogue of the continuous Halanay inequality are established....
In this paper, by using a novel approach, we first prove a new generalization of discrete-type Halan...
AbstractIn this work, we introduce discrete type inequalities. On the basis of these inequalities, w...
We consider the family of nonlinear difference equations: , , where for , , and the initia...
International audienceWe present a generalized form of Halanay's inequality, having a time varying g...
International audienceWe present a generalized form of Halanay's inequality, having a time varying g...
In this paper, we generalize the main theorem of Liz and Ferreiro [E. Liz, J.B. Ferreiro, A note on ...
In this paper, we generalize the main theorem of Liz and Ferreiro [E. Liz, J.B. Ferreiro, A note on ...
In this paper, a general class of Halanay-type non-autonomous functional differential inequalities i...
Trofimchuk, S.Instituto de Matemática y Física, Universidad de Talca, Casilla 747, Talca, ChileWe ad...
Abstract A class of scalar nonlinear difference equations with delay is considered. Sufficient condi...
International audienceWe provide a new generalization of a recent trajectory-based approach for prov...
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