A generalized Laplace-Stieltjes transformation
نویسندگان
چکیده
منابع مشابه
The Laplace-stieltjes Transformation on Ordered Topological Vector Space of Generalized Functions
Abstract. We have combined the Laplace transform and the Stieltjes transform of the form f̂(x) = R∞ 0 f(t) (xm+tm)ρ dt, m, ρ > 0 and applied it to an ordered vector space of generalized functions to which the topology of bounded convergence is assigned. Some of the order properties of the transform and its inverse are studied. Also we solve an initial value problem and compare different solution...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1957
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1957-0084637-2