Differential models and neutral systems for controlling the wealth of nations / E.N. Chukwu.

Format:

Book

Author/Creator:

Chukwu, Ethelbert N.

Series:

Series on Advances in Mathematics for Applied Sciences

Series on advances in mathematics for applied sciences ; vol. 54

Language:

English

Subjects (All):

Econometric models.

Economics.

Physical Description:

1 online resource (537 p.)

Place of Publication:

Singapore ; River Edge, N.J. : World Scientific, c2001.

Language Note:

English

Summary:

This monograph derives from familiar economic principles the dynamics of national income, the interest rate, employment, the value of capital stock, prices, and the cumulative balance of payments. This is a Volterra neutral integrodifferential game of pursuit. The quarry control is government intervention in the form of taxation, control of money supply, tariffs, foreign credit, interest equalization tax, preferential trade agreements (which reduce trade barriers and enhance trade flows between nations), transportation and distance between trading partners. The pursuer controls include wages a

Contents:

Acknowledgements; Foreword; The World; Asia; Africa; America; United States National Science Foundation Consultant; G-8 Summit Communique; China; Contents; Introduction; 0. Continuous Delay Models: Motivation; References; 1. Economic Dynamic Model; Prices; Balance of Payment; Employment and Capital Stock; 2. Main Results; 3. Economic Interpretation and Fundamental Economic Principles; 4. Economic Hereditary Model of Canada; 5. Soft Landing of Key Economic Indicators with Private and Government Controls under Scarcity; Remark.; Stability; 6. Economic Systems With Delay in Control

7. The Nonlinear Theory of Controllability of Volterra Neutral Integrodifferential DynamicsDefinition; Remark; 8. Economic Models of U.S.A., Canada, U.K., Germany, and India; Function Space Controllability; References; 9. Model Programs and Graphs; U.S.A. Program US2.M; CANADA; GERMANY; INDIA Program India2.M; AUSTRALIA Program Australia2.M; JAPAN Program Japan2.M; 10. Optimal Control of Volterra Integral Neutral Equations and of Linear Neutral Equations; 10.1 Introduction; Assumptions; Optimal Control of Linear Neutral Systems; Minimum ""Investment"" Control; Prevailing Assumptions

10.2 Proof of Minimum-Effort Theorems10.3 Optimal Absolute Fuel Function; References; 11. Nonlinear Neutral Systems; 11.1 Introduction; 11.2 Existence, Uniqueness, and Continuity of Solutions of Neutral Systems; 11.3 Existence of Optimal Controls of Neutral Systems; 11.4 Optimal Control of Neutral Systems in Function Space; References; 12. Controllable Nonlinear Neutral Systems; 12.1 Introduction; 12.2 General Nonlinear Systems; 12.3 Nonlinear Interconnected Systems; References; 13. Function Space Control of Nonlinear Interconnected Economic Systems of Neutral Type; 13.1 Introduction

13.2 Preliminaries13.3 Main Results; References; 14. Nonlinear Mathematical Controllability Theory of the Growth of Wealth of Nations; 14.1 Introduction; 14.2 The Main Results; References; I5. Oscillation; 15.1 Introduction; 15.2 Basic Results; 15.3 Economic Model; 15.4 Employment; 15.5 Policy Implications of Damping Out Employment Oscillation; References; 16. Construction of Econometric Meter and Reform of Global Economic Systems Structure; 16.1 Design of an Econometric Meter or Econometric Simulator; 16.2 Salamon's Circuit

16.3 Simulation of a Nonlinear Economic State of Gross Domestic Product and Interest Rate16.4 Delay Systems; 16.5 Tunnel Diode Circuit with Delay: Analogue, Econometric Meter with Delay; 16.6 Perspective; References; 17. Appendix; Index

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

9789812791863

9812791868