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recurrence relation
(redirected from Difference equations)

   Also found in: Wikipedia 0.01 sec.
recurrence relation [ri′kər·əns ri‚lā·shən]
(mathematics)
An equation relating a term in a sequence to one or more of its predecessors in the sequence.


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He keeps the needs of researches and students in mind as he provides introductory work on differential and difference equations along with excellent material on solving ordinary differential equations numerically, balancing theory with practice.
Consider the nonlinear discrete-time system described by a set of first-order difference equations of the form x(t + 1) = f(x(t), u(t)), y(t) = g(x(t), u(t)), (1) where the entries of f and g are meromorphic functions, which we think of as elements of the quotient field of the ring of analytic functions, and x(t) [member of] [R.
 
 
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