Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2021; 36(3): 485-494

Online first article May 21, 2021      Printed July 31, 2021

https://doi.org/10.4134/CKMS.c200183

Copyright © The Korean Mathematical Society.

Some classes of integral equations of convolutions-pair generated by the Kontorovich-Lebedev, Laplace and Fourier transforms

Trinh Tuan

Electric Power University

Abstract

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In this article, we prove the existence of a solution to some classes of integral equations of generalized convolution type generated by the Kontorovich-Lebedev (K) transform, the Laplace $(\mathcal{L})$ transform and the Fourier (F) transform in some appropriate function spaces and represent it in a closed form.

Keywords: Convolution, Fourier sine, Fourier cosine, Kontorovichh-Lebedev, transform

MSC numbers: 33C10, 44A35, 45E10, 45J05

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