This volume provides a broad introduction to nonlinear integral dynamical models and new classes of evolutionary integral equations. It may be used as an advanced textbook by postgraduate students to study integral dynamical models and their applications in machine learning, electrical and electronic engineering, operations research and image analysis.Contents:Introduction and OverviewVolterra Models of Evolving Dynamical Systems:Volterra Equations of the First Kind with Piecewise Continuous KernelsVolterra Matrix Equation of the First Kind with Piecewise Continuous KernelsVolterra Operator Equations of the First Kind with Piecewise Continuous KernelsGeneralized Solutions to the Volterra Equations with Piecewise Continuous Kernels and SourcesNonlinear Models, Singularities and Control:Nonlinear Hammerstein Integral EquationsNonlinear Volterra Operator Equations with Non-invertible OperatorNonlinear Differential Equations Near Branching PointsConvex Majorants Method in the Theory of Nonlinear Volterra EquationsGeneralized Solutions to Nonlinear Volterra Equations of the First KindOn Impulse Control of Nonlinear Dynamical Systems Based on the Volterra SeriesIntegral Models Applications:The Volterra Models ApplicationsSuppression of Moiré Patterns for Video Archive RestorationIntegral Models Applications in Electric Power EngineeringReadership: Graduate students and researchers in complex systems, mathematical modeling and machine learning.