
Recently the author has obtained stability results for the infinite delay difference system \(x(n+1) = G(n,x(s);s\;l,l + 1,\dots,n)\) [Stability of infinite delay difference systems. Nonlinear Anal. Theory Methods Appl. 22, No. 9, 1121-1129 (1994)]. In this paper some theorems on boundedness are established.
Stability of difference equations, Functional-differential equations (including equations with delayed, advanced or state-dependent argument), Growth and boundedness of solutions to ordinary differential equations, bounded delay, difference equation, stability, infinite delay difference system, boundedness, Additive difference equations
Stability of difference equations, Functional-differential equations (including equations with delayed, advanced or state-dependent argument), Growth and boundedness of solutions to ordinary differential equations, bounded delay, difference equation, stability, infinite delay difference system, boundedness, Additive difference equations
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