Equations of convolution type with monotone coefficients
Kenneth S. Berenhaut, Nathaniel G. Vish · The Journal of Difference Equations and Applications · 2009
This paper studies convolution type linear difference equations with coefficients satisfying some monotonicity properties. Methods from renewal theory are employed to obtain easily verified conditions for asymptotic stability of the zero solution, in terms of the coefficient sequence. Explicit bounds and rates of convergence are also considered, and an application to norms of matrix inverses is included.