2026-09-20T15:48:00Zhttps://wakespace.lib.wfu.edu/server/oai/requestoai:null:10339/146842026-09-02T10:58:15Zcom_10339_14934col_10339_38132
Guy, Richard
2009-05-07T14:36:52Z
2010-06-18T18:57:19Z
2009-05-07T14:36:52Z
2010-06-18T18:57:19Z
2009-05-07T14:36:52Z
https://wakespace.lib.wfu.edu/handle/10339/14684
The purpose of this thesis is to convey several new results in the field of piecewise difference equations, paying particular attention to higher order equations with asymptotically periodic solutions. A study of solutions to the equation
$$y_n = \min \{ y_{n-k_1}-y_{n-m_1} , y_{n-k_2}-y_{n-m_2} \}$$
is presented. Related results are then obtained for a class of difference equations satisfying certain symmetry and monotonicity conditions. In particular we consider equations of the form $$ y_n = \min \{ f(y_{n-k_1},y_{n-m_1} ),f( y_{n-k_2} , y_{n-m_2} ) \}, $$ where $f(u,v) = h(u,v)/v$ for $h$ symmetric in $u$ and $v,$ and $f$ satisfies monotonicity conditions. The results are then extended to the form
$$ y_n = \min \{ f(y_{n-k_1},y_{n-m_1} ),f( y_{n-k_2} , y_{n-m_2}),\dots ,f( y_{n-k_L} , y_{n-m_L} ) \} .$$
en_US
Wake Forest University
Discrete Mathematics
Difference Equations
Some New Results on Composition-Delay Equations with Asymptotically Periodic Solutions
Thesis
Release the entire work for access only to the Wake Forest University system for
one year from the date below. After one year, release the entire work for access worldwide.
Howard, Fredric
Jiang, Miaohua
Mathematics
open.access