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Uniform asymptotic stability in nonlinear volterra discrete systems

By P.W. Eloe, M.N. Islam and Y.N. Raffoul


AbstractWe employ the notion of total stability to obtain new criteria for uniform asymptotic stability of the zero solution of a nonlinear Volterra discrete system. Resolvent equation methods are employed, and a summability criterion on the resolvent kernel is obtained. Also, we obtain a new difference equation that the resolvent R(n, s) satisfies

Publisher: Published by Elsevier Ltd.
Year: 2003
DOI identifier: 10.1016/S0898-1221(03)00081-6
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