Displaying similar documents to “The Laplace transform on a Boehmian space”

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Kokila Sundaram (1983)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

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Some extensions of a certain integral transform to a quotient space of generalized functions

Shrideh K.Q. Al-Omari, Jafar F. Al-Omari (2015)

Open Mathematics

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In this paper, we establish certain spaces of generalized functions for a class of ɛs2,1 transforms. We give the definition and derive certain properties of the extended ɛs2,1 transform in a context of Boehmian spaces. The extended ɛs2,1 transform is therefore well defined, linear and consistent with the classical ɛs2,1 transforms. Certain results are also established in some detail.

Laplace - Fibonacci transform by the solution of second order generalized difference equation

Sandra Pinelas, G. B. A. Xavier, S. U. Vasantha Kumar, M. Meganathan (2017)

Nonautonomous Dynamical Systems

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The main objective of this paper is finding new types of discrete transforms with tuning factor t. This is not only analogy to the continuous Laplace transform but gives discrete Laplace-Fibonacci transform (LFt). This type of Laplace-Fibonacci transform is not available in the continuous case. The LFt generates uncountably many outcomes when the parameter t varies on (0,∞). This possibility is not available in the existing Laplace transform. All the formulae and results derived are...