Pseudo-Laplace transform. (English) Zbl 0931.44001
Over certain semirings, pseudo-integrals are introduced and, in particular, corresponding convolutions, Laplace transforms and their inverses, which have the usual basic properties. The results are applied to problems in operations research (maximum of a utility function) and optimal control theory (solution of a Hamilton-Jacobi equation).
Reviewer: Lothar Berg (Rostock)
MSC:
44A10 | Laplace transform |
49J15 | Existence theories for optimal control problems involving ordinary differential equations |
91B16 | Utility theory |
Keywords:
pseudo-integrals; convolutions; Laplace transforms; inverses; operations research; utility function; optimal control; Hamilton-Jacobi equationReferences:
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