THE STABILITY OF COUPLED RENEWAL-DIFFERENTIAL EQUATIONS WITH ECONOMETRIC APPLICATIONS.

Abstract

The work presents concepts and results in the fields of mathematical modeling, economics and stability analysis. A coupled renewal-differential equation structure is presented as a modeling form for systems possessing hereditary characteristics, and this structure is applied to a model of the Austrian theory of business cycles. For realistic conditions, the system is shown to have an infinite number of poles, and conditions are presented which are both necessary and sufficient for all poles to lie strictly in the left half plane. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 15, 1969
Accession Number
AD0701077

Entities

People

  • J. K. Aggarwal
  • Ronald P. Rhoten

Organizations

  • University of Texas at Austin

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Commerce
  • Differential Equations
  • Economics
  • Equations
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis