#### Document Type

Article

#### Publication Date

2006

#### Abstract

A time scale, T, is a nonempty, closed subset of the real numbers, R. Several methods of solution exist for second order linear equations on a time scale. An advantage of these methods is that we can obtain solutions on a system comprising of continuous and/or discrete elements. After restricting the time scale to be R, these solutions are equivalent to those obtained using differential equations methods.

A time scale, T, is a nonempty, closed subset of the real numbers, R. Several methods of solution exist for second order linear equations on a time scale. An advantage of these methods is that we can obtain solutions on a system comprising of continuous and/or discrete elements. After restricting the time scale to be R, these solutions are equivalent to those obtained using differential equations methods.

#### Disciplines

Mathematics

#### eCommons Citation

Askew, Ashley, "Methods of Solution of Second Order Linear Equations on Time Scales" (2006). *Undergraduate Mathematics Day, Electronic Proceedings*. 9.

https://ecommons.udayton.edu/mth_epumd/9

*Abstract*