Item Details

title

Some New Results on Difference Equations of Convolution Type

author

Vish, Nathaniel

abstract

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.

subject

Difference Equations

Matrix Analysis

Mathematics

contributor

Robinson, Stephen (committee chair)

Erway, Jennifer (committee member)

Berenhaut, Kenneth (committee member)

date

2009-05-06T15:18:57Z (accessioned)

2010-06-18T18:57:15Z (accessioned)

2009-05-06T15:18:57Z (available)

2010-06-18T18:57:15Z (available)

2009-05-06T15:18:57Z (issued)

degree

Mathematics (discipline)

identifier

http://hdl.handle.net/10339/14679 (uri)

language

en_US (iso)

publisher

Wake Forest University

rights

Release the entire work immediately for access worldwide. (accessRights)

type

Thesis