A class of Fredholm equations and systems of equations related to the Kontorovich-Lebedev and the Fourier integral transforms

Authors: TRINH TUAN, NGUYEN THANH HONG

Abstract: In this article, we solve in closed form a class of Fredholm integral equations and systems of Fredholm integral equations with nondegenerate kernels by using techniques of convolutions and generalized convolutions related to the Kontorovich-Lebedev, Fourier sine, and Fourier cosine integral transforms.

Keywords: Convolution, Fourier sine, Fourier cosine, Kontorovich-Lebedev, transform, Fredholm equation

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