Numerical Solution of Functional Equations by Means of Laplace Transform--II : Differential-Difference Equations.

by Richard Ernest Bellman, Robert E. Kalaba, Jo Ann Lockett


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Time-lag phenomena are significant in automatic control, magnetic circuitry, and elsewhere. From the mathematical viewpoint, these lead to differential-difference equations. The Memorandum shows how these equations can be treated, using a numerical procedure for inverting Laplace transforms. The study should be of interest to control and circuit engineers and to numerical analysts; it is also useful in treating wide classes of equations arising in biology, chemistry, operational research, and similar studies. (See also Part I, RM-3948.) 14 pp.

This report is part of the RAND Corporation Research memorandum series. The Research Memorandum was a product of the RAND Corporation from 1948 to 1973 that represented working papers meant to report current results of RAND research to appropriate audiences.

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