Some classes of integral equations of convolutions-pair generated by the Kontorovich-Lebedev, Laplace and Fourier transforms
Commun. Korean Math. Soc. 2021 Vol. 36, No. 3, 485-494
https://doi.org/10.4134/CKMS.c200183
Published online May 21, 2021
Printed July 31, 2021
Trinh Tuan
Electric Power University
Abstract : 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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