The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON SYSTEMS
Transactions ID Number: 89-477
Full Name: André A. Keller
Position: Professor
Age: ON
Sex: Male
Address: Université de Lille 1, CLERSE- UMR8019/CNRS, Cité Scientifique 59655 Villeneuve d'Ascq Cedex
Country: FRANCE
Tel:
Tel prefix:
Fax:
E-mail address: andre.keller@univ-lille1.fr
Other E-mails: andre-keller@orange.fr
Title of the Paper: contribution of the delay differential equations to the complex economic macrodynamics
Authors as they appear in the Paper: André A. Keller
Email addresses of all the authors: andre.keller@univ-lille1.fr
Number of paper pages: 14
Abstract: In some cases of the economic macrodynamics, delay differential equations (DDEs) may be more suitable to a wide range of economic models. The dynamics of the Kalecki's business cycle model is represented by a linear first-order DDE with constant coefficients, in the capital stock. Such a DDE, with constant or flexible lags, also occurs in the continuous time Solow's vintage capital growth model. This is due to the heterogeneity of goods and assets. DDEs with constant lags may be preferably solved by using Laplace transforms. Numerous techniques are also proposed for the solution of DDEs, like the inverse scattering method, the Jacobian elliptic function method, numerical techniques, the differential transform method, etc. This study retains the Zhou's differential transform method for solving nonlinear DDEs with backward-foreward delays and flexible coefficients. This study also uses a block diagram approach with application to reference economic models, with help!
of the software \emph{MATHEMATICA 7.0.1} and its specialized packages for signal processing, such as "Control System Professional" and "SchematicSolver".
Keywords: Delay differential equation, Method of steps algorithm, Differential
EXTENSION of the file: .pdf
Special (Invited) Session: Generalized Delay Differential Equations to Economic Dynamics and Control
Organizer of the Session: 629-289
How Did you learn about congress:
IP ADDRESS: 86.192.37.179
