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The Existence and Uniqueness of Global Solutions to the Initial Value Problem for the System of Nonlinear Integropartial Differential Equations in Spatial Economics: The Dynamic Continuous Dixit-Stiglitz-Krugman Model in an Urban-Rural Setting
Joint Authors
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-04-15
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Assume that economic activities are conducted in a bounded continuous domain where workers move toward regions that offer higher real wages and away from regions that offer below-average real wages.
The density of real wages is calculated by solving the nominal wage equation of the continuous Dixit-Stiglitz-Krugman model in an urban-rural setting.
The evolution of the density of workers is described by an unknown function of the replicator equation whose growth rate is equal to the difference between the density of real wages and the average real wage.
Hence, the evolution of the densities of workers and real wages is described by the system of the nominal wage equation and the replicator equation.
This system of equations is an essentially new kind of system of nonlinear integropartial differential equations in the theory of functional equations.
The purpose of this paper is to obtain a sufficient condition for the initial value problem for this system to have a unique global solution.
American Psychological Association (APA)
Tabata, M.& Eshima, Nobuoki. 2015. The Existence and Uniqueness of Global Solutions to the Initial Value Problem for the System of Nonlinear Integropartial Differential Equations in Spatial Economics: The Dynamic Continuous Dixit-Stiglitz-Krugman Model in an Urban-Rural Setting. Abstract and Applied Analysis،Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1052111
Modern Language Association (MLA)
Tabata, M.& Eshima, Nobuoki. The Existence and Uniqueness of Global Solutions to the Initial Value Problem for the System of Nonlinear Integropartial Differential Equations in Spatial Economics: The Dynamic Continuous Dixit-Stiglitz-Krugman Model in an Urban-Rural Setting. Abstract and Applied Analysis No. 2015 (2015), pp.1-12.
https://search.emarefa.net/detail/BIM-1052111
American Medical Association (AMA)
Tabata, M.& Eshima, Nobuoki. The Existence and Uniqueness of Global Solutions to the Initial Value Problem for the System of Nonlinear Integropartial Differential Equations in Spatial Economics: The Dynamic Continuous Dixit-Stiglitz-Krugman Model in an Urban-Rural Setting. Abstract and Applied Analysis. 2015. Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1052111
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052111