### Definition of Difference equation

1. Noun. (mathematics) An equation involving an ordered sequence or real numbers ($\left\\left\{a_n\right\\right\}_\left\{n=1\right\}^\infty$) and some number if it's differences, where the ''first difference'' is defined as $\Delta\left(a_n\right) = a_\left\{n+1\right\} - a_n\,$ and the ''kth difference'' is defined recursively as $\Delta^k\left(a_n\right) = \Delta^\left\{k-1\right\}\left(a_\left\{n+1\right\}\right) - \Delta^\left\{k-1\right\}\left(a_n\right)\,$. ¹

2. Noun. (mathematics) more broadly, any recurrence relation ¹

¹ Source: wiktionary.com

### Medical Definition of Difference equation

1. The mathematical formulation corresponding to a discrete time model. (05 Dec 1998)

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### Lexicographical Neighbors of Difference Equation

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