Abstract: This talk is devoted to boundary value problems for Fredholm integro-differential equations and constructive methods for solving them. We will discuss the effectiveness of the Dzhumabaev parametrization method for solving nonlocal boundary value problems. We consider the questions on existence and uniqueness of solutions to boundary value problems for hyperbolic Fredholm integro-differential equations. We also present our recent research results on boundary value problems for Fredholm integro-differential equations and numerical and approximate methods for solving boundary value problems with parameter. We report some results of boundary value problems for parabolic Fredholm integro-differential equations
Prof. Dr. Carsten Trunk (Technische Universität Ilmenau, Germany)