Volume 3 Number 2 (Mar. 2013)
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IJAPM 2013 Vol.3(2): 143-145 ISSN:2010-362X
DOI: 10.7763/IJAPM.2013.V3.194

A Model Dynamics of Interacting Firms

Naoyuki Ishimura and Masaaki Nakamura

Abstract—We deal with a system of nonlinear ordinary differential equations (ODEs), which models the dynamics of “immortality” of interacting companies. The system possesses blowing-up solutions. We determine the asymptotic behavior of these blowing-up solutions, and discuss the meaning in financial economics.

Index Terms—Asymptotic behavior, blowing-up solutions, dynamics of interacting companies, system of nonlinear ordinary differential equations.

Naoyuki Ishimura is with the Graduate School of Economics, Hitotsubashi University, Tokyo, Japan (e-mail: ishimura@ econ.hit-u.ac.jp).
MasaAki Nakamura is with the College of Science and Technology, Nihon University, Kanda-Surugadai, Tokyo, Japan (e-mail: nakamura@math.cst.nihon-u.ac.jp).

 

Cite: Naoyuki Ishimura and Masaaki Nakamura, "A Model Dynamics of Interacting Firms," International Journal of Applied Physics and Mathematics  vol. 3, no. 2, pp. 143-145, 2013.

General Information

ISSN: 2010-362X (Online)
Abbreviated Title: Int. J. Appl. Phys. Math.
Frequency: Quarterly
DOI: 10.17706/IJAPM
Editor-in-Chief: Prof. Haydar Akca 
Abstracting/ Indexing:  Index Copernicus, EI (INSPEC, IET), Chemical Abstracts Services (CAS), Nanowerk Database, Google Scholar, EBSCO, etc.
E-mail: ijapm@iap.org
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