Titlebook: Differential Equations, Discrete Systems and Control; Economic Models Aristide Halanay,Judita Samuel Book 1997 Springer Science+Business Me

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Nephrocalcinosis and NephrolithiasisThe Calculus of Variations represents the oldest mathematical theory for optimization in the case of a controlled evolution.

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Fabio Pozzi-Mucelli,Andrea PellegrinThe optimization problems studied in the preceeding chapters can be joined in a general framework. We shall describe this framework.

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Linear and Affine Differential Equations. Equations with Separated Variables,In order to understand the natural way in which differential equations occur in the study of evolutionary processes, we begin with some simple population growth models, that have also possible economic interpretations.

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Linear Systems with Constant Coefficients,A linear system of differential equations with constant coefficients is written as ..

growth-factor

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Control Systems. Stabilization of Linear Systems,The mathematical models for evolution processes that can be influenced through decisions are the dynamic control systems, defined by functions . : . × . × . ⊂ R × R. × R. → R.; such system is written as x′ = .(.).

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Some Unconstrained Dynamic Optimization Problems,The Calculus of Variations represents the oldest mathematical theory for optimization in the case of a controlled evolution.

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