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

Authors : Trınh Tuan, Nguyen Thanh Hong

Pages : 643-655

Doi:10.3906/mat-2001-24

View : 8 | Download : 4

Publication Date : 9999-12-31

Article Type : Makaleler

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