In order to participate in the seminar, a few minutes prior to the beginning of the seminar you should connect to the Zoom conference via the following link or manually using the Zoom conference ID 897 7646 2466 and password 549526. If you have problems logging into Zoom, you can connect to the YouTube livestream of the seminarA brief review of methods for analyzing integral dynamic models and their applications is given. The modern foundations of the theory of linear and nonlinear integral equations used in modeling dynamic developing systems are outlined, including existence and uniqueness theorems for smooth and generalized solutions of the corresponding equations.
A new formulation of the inverse problem and a numerical method for the Volterra integral equations with piecewise continuous kernels are discussed for the case of the required kernel discontinuity curves. The resulting integral equation is non-linear with respect to discontinuity curves. Approximate and numerical methods for constructing solutions in irregular cases are proposed. Examples of integral dynamic models for cyber-physical systems and modeling of storage systems in the electric power industry are discussed.
