2026-09-19T01:17:54Zhttps://wakespace.lib.wfu.edu/server/oai/request

oai:null:10339/146792026-09-02T10:48:07Zcom_10339_14934col_10339_38132

Vish, Nathaniel 2009-05-06T15:18:57Z 2010-06-18T18:57:15Z 2009-05-06T15:18:57Z 2010-06-18T18:57:15Z 2009-05-06T15:18:57Z https://wakespace.lib.wfu.edu/handle/10339/14679 In this thesis we consider 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 considered. We use these results to provide some new bounds for inverses of positive triangular matrices with monotonic column entries. We also refine a result of Vecchio and Mallik. This new result is shown to be in a sense best possible under the given constraints. en_US Wake Forest University Difference Equations Matrix Analysis Mathematics Some New Results on Difference Equations of Convolution Type Thesis Release the entire work immediately for access worldwide. Robinson, Stephen Erway, Jennifer Berenhaut, Kenneth Mathematics open.access