Some classes of integral equations of convolutions-pair generated by the Kontorovic-Lebedev, Laplace and Fourier transforms
Commun. Korean Math. Soc. Published online May 21, 2021
Trinh Tuan
Department of Mathematics, Electric Power University, 235 Hoang Quoc Viet, Hanoi, Vietnam
Abstract : n this article, we prove the existence of a solution to some classes of integral equations of generalized convolution type generated by the Kontorovic-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.
