Definition of Difference equation

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