On some integral equations with Carleman kernel

الملخص EN

In this paper, the existence and uniqueness of the solution of Volterra-Fredholm integral equations of the first kind with Carleman kernel is investigated.

Furthermore, toeplitz matrix method and Nystrom method are used to obtain the eigenvalues and eigenfunctions for the Fredholm integral equation of the second kind with Carleman kernel.

The comparison between the two methods shows that their numerical results are approximately the same