
Definition of Difference equation
1. Noun. (mathematics) An equation involving an ordered sequence or real numbers ($\backslash left\backslash \{a\_n\backslash right\backslash \}\_\{n=1\}^\backslash infty$) and some number if it's differences, where the ''first difference'' is defined as $\backslash Delta(a\_n)\; =\; a\_\{n+1\}\; \; a\_n\backslash ,$ and the ''k^{th} difference'' is defined recursively as $\backslash Delta^k(a\_n)\; =\; \backslash Delta^\{k1\}(a\_\{n+1\})\; \; \backslash Delta^\{k1\}(a\_n)\backslash ,$. ¹
2. Noun. (mathematics) more broadly, any recurrence relation ¹
¹ Source: wiktionary.com
Medical Definition of Difference equation
1.