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 Downloads: Full-text PDF   Full-text HTML