Analytical and Numerical Methods for Integral-Algebraic Equations

In the present talk we will discuss some properties of Integral-Algebraic Equations (IAE) and their numerical solution. Concerning analytical methods, me will consider IAE with kernels of convolution type and weakly singular kernels. We will also discuss the regularization of IAE. The discussion of numerical methods will start with the case of systems of Volterra integral equations of the first kind. Then we will describe multistep methods for IAE.