Uniform Asymptotic Stability in Nonlinear Volterra Discrete Systems
Computers & Mathematics with Applications
We 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.
Copyright © 2003, Elsevier
Place of Publication
Islam, Muhammad; Raffoul, Youssef; and Eloe, Paul W., "Uniform Asymptotic Stability in Nonlinear Volterra Discrete Systems" (2003). Mathematics Faculty Publications. 55.