Geodesic
On Exponential Stability of Volterra Difference Equations with Infinite Delay
Pham Huu Anh Ngoc 1   ; Le Trung Hieu 2
1 Department of Mathematics Vietnam National University-HCMC International University, Saigon, Vietnam
2 Department of Mathematics Dong Thap University Dong Thap province, Vietnam
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 62 (2014) no. 2, pp. 125-137 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/ba62-2-3
Keywords: general nonlinear volterra difference equations infinite delay considered explicit criterion global exponential stability given furthermore present stability bound equations subject nonlinear perturbations examples given illustrate results obtained

Pham Huu Anh Ngoc  1   ; Le Trung Hieu  2

1 Department of Mathematics Vietnam National University-HCMC International University, Saigon, Vietnam
2 Department of Mathematics Dong Thap University Dong Thap province, Vietnam 
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     title = {On {Exponential} {Stability} of {Volterra} {Difference} {Equations} with {Infinite} {Delay}},
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Pham Huu Anh Ngoc; Le Trung Hieu. On Exponential Stability of Volterra Difference Equations with Infinite Delay. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 62 (2014) no. 2, pp. 125-137. doi: 10.4064/ba62-2-3

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