- Turkish Journal of Mathematics
- Vol: 44 Issue: 3
- A class of Fredholm equations and systems of equations related to the Kontorovich-Lebedev and the Fo...
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 : 7 | 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