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| | In [[mathematics]], a '''summation equation''' or '''discrete integral equation''' is an equation in which an unknown [[function (mathematics)|function]] appears under a [[summation]] sign. The theories of summation equations and [[integral equation]]s can be unified as ''integral equations on time scales''<ref>[http://web.maths.unsw.edu.au/~cct/tis-tomasia-IJDE-rev.pdf Volterra integral equations on time scales: Basic qualitative and quantitative results with applications to initial value problems on unbounded domains], Tomasia Kulik, Christopher C. Tisdell, September 3, 2007</ref> using [[time scale calculus]]. A summation equation compares to a [[difference equation]] as an [[integral equation]] compares to a [[differential equation]]. |