This work treats the integral economic models with embodied technological change and the controlled lifetime of technologies. Features of the book include: the theoretical basis and algorithmic tools for the analysis of industrial renovation under technical change; a variety of models and optimization problems with simulation examples of real economic systems; a qualitative study of optimal trajectories, including turnpike theorems, and their extended economic analysis; the development of the theory of the models in parallel with numerical algorithms and software.
I Integral Dynamical Models of Evolving Systems.- 1 Integral Dynamical Models in Control Theory.- 2 Integral Dynamical Models of Economic Systems.- 3 Integral Dynamical Models in Mathematical Ecology.- II Analysis of One-Sector Integral Dynamical Models.- 4 Basic Optimization Problem in One-Sector Model.- 5 Asymptotical Behavior of Optimal Trajectories and Turnpike Theorems.- 6 Other Optimization Problems in One-Sector Models.- III Analysis of Multi-Sector Integral Dynamical Models.- 7 The Volterra Integral Equations with Sought-For Lower Limits of Integration.- 8 Optimization in Two-Sector Models.- 9 Optimization of Industry Conversion Rates.- 10 Optimization in Three-Sector Model with Endogenous Technical Change.- 11 Optimization in Multi-Sector Models.- 12 Optimization of Technological Renovation in Hierarhical Ecological-Economic System.- IV Applied Problems of Integral Dynamical Models.- 13 Numerical Algorithms for Integral Dynamical Models.- 14 Application of Integral Models to Optimization of Technological Renovation.- 15 Open Problems and Perspectives of Integral Models.- References.