On Exponential Stability of Volterra Difference Equations with Infinite Delay

Pham Huu Anh Ngoc; Le Trung Hieu

Bulletin of the Polish Academy of Sciences. Mathematics (2014)

  • Volume: 62, Issue: 2, page 125-137
  • ISSN: 0239-7269

Abstract

top
General nonlinear Volterra difference equations with infinite delay are considered. A new explicit criterion for global exponential stability is given. Furthermore, we present a stability bound for equations subject to nonlinear perturbations. Two examples are given to illustrate the results obtained.

How to cite

top

Pham Huu Anh Ngoc, and Le Trung Hieu. "On Exponential Stability of Volterra Difference Equations with Infinite Delay." Bulletin of the Polish Academy of Sciences. Mathematics 62.2 (2014): 125-137. <http://eudml.org/doc/281278>.

@article{PhamHuuAnhNgoc2014,
abstract = {General nonlinear Volterra difference equations with infinite delay are considered. A new explicit criterion for global exponential stability is given. Furthermore, we present a stability bound for equations subject to nonlinear perturbations. Two examples are given to illustrate the results obtained.},
author = {Pham Huu Anh Ngoc, Le Trung Hieu},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {global exponential stability; infinite delay; phase space; Volterra difference equations},
language = {eng},
number = {2},
pages = {125-137},
title = {On Exponential Stability of Volterra Difference Equations with Infinite Delay},
url = {http://eudml.org/doc/281278},
volume = {62},
year = {2014},
}

TY - JOUR
AU - Pham Huu Anh Ngoc
AU - Le Trung Hieu
TI - On Exponential Stability of Volterra Difference Equations with Infinite Delay
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2014
VL - 62
IS - 2
SP - 125
EP - 137
AB - General nonlinear Volterra difference equations with infinite delay are considered. A new explicit criterion for global exponential stability is given. Furthermore, we present a stability bound for equations subject to nonlinear perturbations. Two examples are given to illustrate the results obtained.
LA - eng
KW - global exponential stability; infinite delay; phase space; Volterra difference equations
UR - http://eudml.org/doc/281278
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.