Studying the dynamics of pre-geographical space by means of space and time-potential partial differential equations

Geographical Systems

Volumn 3, Issue 4, 1996, Pages 259-277

  Kaashoek, Johan F ^a   Paelinck, Jean H P ^b  

^a ERASMUS UNIVERSITY ROTTERDAM   (Netherlands)

^b NONE

Author keywords

Pre geographical space; Space and time potential

Indexed keywords

EID: 0346225333     PISSN: 10692665     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

1. Allen, R.G.D. (1956) Mathematical Economics, Macmillan, London.
2. Ancot, J.-P. and Paelinck, J.H.P. (1983) Interdépendances spatiales et modèles économiques de développement multirégional, in B. Planque (ed.), Le développement décentralisé: dynamique spatiale de l'économie et planification régionale, L.I.T.E.C., Paris, pp. 107-116.
3. Beckmann, M.J. (1970) The Analysis of Spatial Diffusion Processes, Papers of the Regional Science Association, 25, pp. 109-117.
4. Beckmann, M.J. and Puu, T. (1985) Spatial Economics: Density, Potential, and Flow, North-Holland, Amsterdam - New York - Oxford.
5. Beguin, H. and Thisse, J.-F. (1979) An Axiomatic Approach to Geographical Space, Geographical Analysis, pp. 325-341.
6. Blackorby, R., Primont, D. and Russell, R.R. (1978) Duality, Separability and Functional Structure: Theory and Applications, North-Holland Publishing Company, Amsterdam.
7. Davydov, A.S. (1991) Solitons in Molecular Systems, Kluwer Academic Publishers, Dordrecht - Boston - London.
8. Gurtin, M.E. (1974) Some Mathematical models for population dynamics that lead to segregation, Quart. J. Appl. Math. 32, pp. 1-9.
9. Kaashoek, J.F. and Paelinck, J.H.P. (1994a) On Potentialised Partial Differential Equations in Theoretical Spatial Economics, in D.S. Dendrinos (ed.), Chaos, Solitons and Fractals, Vol. 4, no. 4, pp. 585-594.
10. Kaashoek, J.F. and Paelinck, J.H.P. (1994b) Potentialised Partial Differential Equations in Theoretical Spatial Economics: Results on Two-Variable and Two-Dimensional Systems, Erasmus University, Econometric Institute, Report 9468/B, Rotterdam.
11. Klaassen, L.H., Molle, W.T.M. and Paelinck, J.H.P. (eds) (1981) Dynamics of Urban Development, Gower Press, Farnborough.
12. Mitchell, A.R. (1969) Computational Methods in Partial Differential Equations, John Wiley & Sons, London - New York - Sydney - Toronto.
13. Paelinck, J.H.P. and Klaassen, L.H. (1979) Spatial Econometrics, Saxon House, Farnborough.
14. Papageorgiou, Y.Y. (1990) The Isolated City State, An Economic Geography of Urban Spatial Structure, Routledge, London - New York.
15. Tanner, J.C. (1961) Factors affecting the amount of travel, Road Research Laboratory, Technical Paper, No. 51, HMSO, London.
16. Toda, M. (1989) Nonlinear Waves and Solitons, Kluwer Academic Publishers, Dordrecht - Boston - London.