| 释义 |
Difference EquationA difference equation is the discrete analog of a Differential Equation. A difference equation involves aFunction with Integer-valued arguments  in a form like
 | (1) |
 is some Function. The above equation is the discrete analog of the first-order OrdinaryDifferential Equation
 | (2) |
 | (3) |
 a constant, as well as the Logistic Equation
 | (4) |
 a constant.See also Finite Difference, Recurrence Relation
References
 Difference EquationsBatchelder, P. M. An Introduction to Linear Difference Equations. New York: Dover, 1967. Bellman, R. E. and Cooke, K. L. Differential-Difference Equations. New York: Academic Press, 1963. Beyer, W. H. ``Finite Differences.'' CRC Standard Mathematical Tables, 28th ed. Boca Raton, FL: CRC Press, pp. 429-460, 1988. Brand, L. Differential and Difference Equations. New York: Wiley, 1966. Goldberg, S. Introduction to Difference Equations, with Illustrative Examples from Economics, Psychology, and Sociology. New York: Dover, 1986. Levy, H. and Lessman, F. Finite Difference Equations. New York: Dover, 1992. Richtmyer, R. D. and Morton, K. W. Difference Methods for Initial-Value Problems, 2nd ed. New York: Interscience Publishers, 1967.
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