Item Details

title

Some New Results on Composition-Delay Equations with Asymptotically Periodic Solutions

author

Guy, Richard

abstract

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 $$ y_n = \min \{ f(y_{n-k_1},y_{n-m_1} ),f( y_{n-k_2} , y_{n-m_2}),\dots ,f( y_{n-k_L} , y_{n-m_L} ) \} .$$

subject

Discrete Mathematics

Difference Equations

contributor

Howard, Fredric (committee chair)

Jiang, Miaohua (committee member)

date

2009-05-07T14:36:52Z (accessioned)

2010-06-18T18:57:19Z (accessioned)

2009-05-07T14:36:52Z (available)

2010-06-18T18:57:19Z (available)

2009-05-07T14:36:52Z (issued)

degree

Mathematics (discipline)

identifier

http://hdl.handle.net/10339/14684 (uri)

language

en_US (iso)

publisher

Wake Forest University

rights

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. (accessRights)

type

Thesis