Displaying similar documents to “Integral transforms of the Kontorovich-Lebedev convolution type.”

The generalizations of integral analog of the Leibniz rule on the G-convolutions.

Semyon B. Yakubovich, Yurii F. Luchko (1991)

Extracta Mathematicae

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An integral analog of the Leibniz rule for the operators of fractional calculus was considered in paper [1]. These operators are known to belong to the class of convolution transforms [2]. It seems very natural to try to obtain some new integral analog of the Leibniz rule for other convolution operators. We have found a general method for constructing such integral analogs on the base of notion of G-convolution [4]. Several results obtained by this method are represented in this article. ...

A certain integral-recurrence equation with discrete-continuous auto-convolution

Mircea I. Cîrnu (2011)

Archivum Mathematicum

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Laplace transform and some of the author’s previous results about first order differential-recurrence equations with discrete auto-convolution are used to solve a new type of non-linear quadratic integral equation. This paper continues the author’s work from other articles in which are considered and solved new types of algebraic-differential or integral equations.

Convolution equations in the space of Laplace distributions

Maria E. Pliś (1998)

Annales Polonici Mathematici

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A formal solution of a nonlinear equation P(D)u = g(u) in 2 variables is constructed using the Laplace transformation and a convolution equation. We assume some conditions on the characteristic set Char P.