Focusing on one of the major aspects of economic development, this book 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. Audience: Researchers, graduate and post-graduate students in mathematical modeling, mathematical economics, control theory, optimization, integral equations, system analysis, and related subjects.

Contenuti:

Preface. Part 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. Part 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. Part 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 Hierarchical Ecological-Economic System. Part 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. Index.

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