Numerical Solution of Functional Equations by Means of Laplace Transform—II

Differential-Difference Equations

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

ResearchPublished 1963

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.

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Bellman, Richard Ernest, Robert E. Kalaba, and Jo Ann Lockett, Numerical Solution of Functional Equations by Means of Laplace Transform—II: Differential-Difference Equations. Santa Monica, CA: RAND Corporation, 1963. https://www.rand.org/pubs/research_memoranda/RM3952.html.
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