A Property of an Inverse Laplace Transform: Problem 81-9
β Scribed by M. L. Glasser
- Book ID
- 124939383
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1981
- Tongue
- English
- Weight
- 155 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0036-1445
- DOI
- 10.2307/2029998
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π SIMILAR VOLUMES
A procedure is proposed for numerical inversion of Laplace transforms z(s) implicitly defined from the functional equation z(s) = g(a(s) -Cz(s)) where a(.) and g(-) axe known functions, C is a known constant. This equation is encountered in queueing, inventory, and insurance problems. The procedure
## Abstract We consider the problem of finding __u__ β __L__ ^2^(__I__ ), __I__ = (0, 1), satisfying β«~__I__~ __u__ (__x__ )__x__ d__x__ = __ΞΌ__ ~__k__~ , where __k__ = 0, 1, 2, β¦, (__Ξ±__ ~__k__~ ) is a sequence of distinct real numbers greater than β1/2, and **__ΞΌ__** = (__ΞΌ__ ~__kl__~ ) is a g