Определение difference equation в Английский Язык Английский Язык словарь
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)\
Equation involving differences between successive values of a function of a discrete variable (i.e., one defined for a sequence of values that differ by the same amount, usually 1). A function of such a variable is a rule for assigning values in sequence to it. For example, f(x + 1) = xf(x) is a difference equation. Methods developed for solving such equations have much in common with methods for solving linear differential equations, which difference equations are often used to approximate