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General convolutions of integral transforms and their application to ode and PDE problems

    L. E. Britvina Affiliation

Abstract

The present research is devoted to some polyconvolutions generated by various integral transforms. For example, we study convolutions of the Hankel transform with the following factorization properties:




where Hv[f] (x) is the Hankel transform. Conditions for the existence of the constructed polyconvolutions are found. The results of this research are applied for solvability of ODEs and PDEs by the method of integral transforms. The derived constructions allow us to solve various nonuniform equations.


First Published Online: 14 Oct 2010

Keyword : integral transforms, convolutions, Hankel transform, ODE, PDE

How to Cite
Britvina, L. E. (2006). General convolutions of integral transforms and their application to ode and PDE problems. Mathematical Modelling and Analysis, 11(1), 23-34. https://doi.org/10.3846/13926292.2006.9637299
Published in Issue
Mar 31, 2006
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