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Zbl 0891.39013
Elaydi, S.; Murakami, S.
Uniform asymptotic stability in linear Volterra difference equations. (English)
[J] J. Difference Equ. Appl. 3, No.3-4, 203-218 (1998). ISSN 1023-6198

The authors study the uniform asymptotic stability of the zero solution of the linear Volterra difference equations of nonconvolution type using the summability of the resolvent matrix. Further, they establish the existence of bounded solutions of nonhomogeneous linear Volterra difference equations. For related results, see the authors' paper [ibid. 2, No. 4, 401-410 (1996; Zbl 0882.39005)].
[E.Thandapani (Salem)]
MSC 2000:
*39A11 Stability of difference equations

Keywords: uniform asymptotic stability; linear Volterra difference equations of nonconvolution type; bounded solutions

Citations: Zbl 0882.39005

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