ISBN: 9780792346753
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[EAN: 9780792346753], New book, [PU: Springer Netherlands Aug 1997], MATHEMATIK / WIRTSCHAFTS- U. SOZIALWISSENSCHAFTEN; OPTIMIERUNG; VARIATIONSRECHNUNG; OPTIMALCONTROL; DYNAMICOPTIMIZATIO… mais…
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ISBN: 9780792346753
This volume presents some of the most important mathematical tools for studying economic models. It contains basic topics concerning linear differential equations and linear discrete-time… mais…
ISBN: 9780792346753
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1997, ISBN: 0792346750
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Dados detalhados do livro - Differential Equations Discrete Systems and Control
EAN (ISBN-13): 9780792346753
ISBN (ISBN-10): 0792346750
Livro de capa dura
Livro de bolso
Ano de publicação: 1997
Editor/Editora: Springer Netherlands
380 Páginas
Peso: 0,730 kg
Língua: eng/Englisch
Livro na base de dados desde 2008-02-19T09:32:59+00:00 (Lisbon)
Página de detalhes modificada pela última vez em 2023-08-07T05:24:01+01:00 (Lisbon)
Número ISBN/EAN: 9780792346753
Número ISBN - Ortografia alternativa:
0-7923-4675-0, 978-0-7923-4675-3
Ortografia alternativa e termos de pesquisa relacionados:
Autor do livro: samuel
Título do livro: differential equations discrete systems control, theory differential equations, mathematical modelling economics, well control equations
Dados da editora
Autor: A. Halanay; J. Samuel
Título: Mathematical Modelling: Theory and Applications; Differential Equations, Discrete Systems and Control - Economic Models
Editora: Springer; Springer Netherland
360 Páginas
Ano de publicação: 1997-08-31
Dordrecht; NL
Língua: Inglês
106,99 € (DE)
109,99 € (AT)
118,00 CHF (CH)
Available
XVI, 360 p.
BB; Hardcover, Softcover / Wirtschaft/Volkswirtschaft; Wirtschaftstheorie und -philosophie; Verstehen; Optimal control; dynamic optimization; maximum principle; nonlinear systems; optimization; ordinary differential equations; Quantitative Economics; Differential Equations; Difference and Functional Equations; Calculus of Variations and Optimization; Optimization; Differentialrechnung und -gleichungen; Optimierung; BC; EA
1 Linear and Affine Differential Equations. Equations with Separated Variables.- 1.1 Differential Equations Modelling Growth Processes.- 1.2 Linear Differential Equations.- 1.3 Linear Affine Differential Equations.- 1.4 Simplest Models of Price Evolution in a Market Economy.- 1.5 Discrete — Time Models for Price Evolution.- 1.6 Simplest Models for Economic Growth.- 1.7 Discrete — Time Models for Economic Growth.- 1.8 Production Functions.- 1.9 Equations with Separated Variables.- 1.10 Notes and References.- 2 Linear Differential Equations with Constant Coefficients.- 2.1 Second Order Differential Equations with Constant Coefficients.- 2.2 Discrete — Time Second Order Linear Equations.- 2.3 Price Evolution in the Presence of Inventories.- 2.4 Economic Growth Models.- 2.5 Second Order Linear Affine Equations.- 2.6 The Phillips Model with Several Types of Autonomous Investment.- 2.7 Higher Order Linear Differential Equations with Constant Coefficients.- 2.8 Discrete — Time Linear Affine Equations.- 2.9 The Samuelson — Hicks Model for Economic Growth.- 2.10 Notes and References.- 3 Linear Systems with Constant Coefficients.- 3.1 General Form of Solutions.- 3.2 Matrix Exponential.- 3.3 Linear Affine Systems.- 3.4 Economic Models.- 3.5 Leontieff — type Models.- 3.6 Phase — Portrait for Second Order Linear Systems with Constant Coefficients.- 3.7 Notes and References.- 4 General Theory of Nonlinear Systems. Stability.- 4.1 Existence and Uniqueness Theorem for the Initial Value Problem.- 4.2 Equilibria. Stability. Continuous Time.- 4.3 Stability. Discrete Time.- 4.4 Discrete—Time Logistic Equation.- 4.5 Stable Polynomials.- 4.6 Some Properties of Matrices that occur in Economic Models.- 4.7 Notes and References.- 5 Numerical Solution of Differential Equations.-5.1 Euler Method.- 5.2 Richardson Extrapolation.- 5.3 Predictor — Corrector Methods.- 5.4 Numerical Quadrature.- 5.5 Adams Type Methods.- 5.6 Stiff Systems.- 5.7 Some Applications of Differential Equations in Numerical Analysis and Optimization.- 5.8 Notes and References.- 6 Control Systems. Stabilization of Linear Systems.- 6.1 Stabilization Problem. Stabilization by Linear State Feed-Back.- 6.2 Stabilization of Linear Systems by Using a Controller.- 6.3 Stabilization in an Economic Growth Model.- 6.4 A Monetary Policy Model.- 6.5 Stabilization of Discrete—Time Systems.- 6.6 A Discrete—Time Monetary Policy Model.- 6.7 Notes and References.- 7 Optimal Stabilization.- 7.1 Linear—Quadratic Optimization on Infinite Horizon. Continuous Time.- 7.2 Application to a Price Model.- 7.3 Optimal Stabilization in Discrete Time.- 7.4 Optimal Stabilization in a Discrete—Time Model of Price Evolution.- 7.5 Notes and References.- 8 Linear—Quadratic Optimization on Finite Horizon.- 8.1 Continuous Time.- 8.2 Applications.- 8.3 Discrete Time.- 8.4 Applications in Discrete Time.- 8.5 A Tracking Problem.- 8.6 A Simple Differential Game.- 8.7 Notes and References.- 9 Some Unconstrained Dynamic Optimization Problems.- 9.1 The Simplest Problem of the Calculus of Variations.- 9.2 A Macroeconomic Growth Model.- 9.3 A Discrete — Time Variational Problem.- 9.4 An Application.- 9.5 Unrestricted Optimal Control Problem in Discrete Time.- 9.6 An Application.- 9.7 Optimization with Linear Dynamics and Linear Cost. Continuous Time.- 9.8 Some Microeconomic Models.- 9.9 Optimization with Linear Dynamics and Linear Cost. Discrete Time.- 9.10 Applications.- 9.11 Notes and References.- 10 General Problem of Optimal Control.- 10.1 Problem Statement. General Theorems.- 10.2 Optimum CapitalAccumulation under the Minimum Time Objective.- 10.3 Reduction of Problems with Free Initial and Final Time to Problems on Fixed Horizon.- 10.4 An Abstract Multiplier Rule.- 10.5 Proof of Theorem 10.1.- 10.6 Notes and References.- References.Outros livros adicionais, que poderiam ser muito similares com este livro:
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