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On Exponential Stability of Volterra Difference Equations with Infinite Delay

Volume 62 / 2014

Pham Huu Anh Ngoc, Le Trung Hieu Bulletin Polish Acad. Sci. Math. 62 (2014), 125-137 MSC: Primary 39A30; Secondary 93D20. DOI: 10.4064/ba62-2-3

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.

Authors

  • Pham Huu Anh NgocDepartment of Mathematics
    Vietnam National University-HCMC
    International University, Saigon, Vietnam
    e-mail
  • Le Trung HieuDepartment of Mathematics
    Dong Thap University
    Dong Thap province, Vietnam
    e-mail

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