This is a preview of subscription content, log in via an institution to check access.
Literature Cited
L. V. Kantorovich and V. L. Makarov, “Optimal models of forecast planning,” Symp. Application of Mathematics to Economic Investigations, Vol. 3, Mysl' (1965).
L. V. Kantorovich, Economic Computations of the Optimal Use of Resources, Izd. Akad. Nauk SSSR (1959).
V. L. Makarov, “Asymptotic behavior of optimal trajectories of linear models of economy,” Sibirsk. Matem. Zh.7, No. 4, 832–853 (1966).
V. L. Makarov, “Optimal growth models of economy,” Ékonomika i Matem. Metody, No. 4, 569–581 (1969).
D. Gale, “Optimal development in multisector economy,” Rev. Econ. Stud., No. 1 (1967).
T. C. Koopmans, “On the concept of optimal economic growth,” Pontificae Acad. Scient. Scripta Varia, Part I, 225–285 (1965).
T. Rader, “On intertemporal efficiency,” Metroeconomica,17, No. 3, 152–170 (1965).
D. von Neumann, “Über ein ökonomisches Gleichungsystem und eine Verallgemeinerung des Brouerschen Fixpunktsatzes,” Ergebnisse eines Math. Kolloquium, No. 8, Vienna (1937).
M. Morishima, Equilibrium Stability and Growth, Clarendon Press London (1964).
R. Solow, “On the structure of linear models,” Econometrica,20, 22–46 (1952).
L. V. Kantorovich and L. M. Gor'kov, “Functional equations of a single-product model,” Dokl. AN SSSR,129, No. 4 (1959).
L. V. Kantorovich, “Computing an efficiency index by employing a single-product model of economy development,” in: Optimal Planning, No. 8 (1967), pp. 37–51.
L. V. Kantorovich and A. L. Vainshtein, “Computing an efficiency index by employing a single-product model of economy development,” Ékonomika i Matem. Metody, No. 5, 697–710 (1967).
L. V. Kantorovich and I. G. Globenko, “Single-product dynamic model in the case of instantaneous transformation of capital factor,” Dokl. AN SSSR,174, No. 3, 522–525 (1967).
S. Karlin, Mathematical Methods of Games Theory, Programming, and Economics [Russian translation], Mir, Moscow (1964).
Additional information
Translated from Sibirskii Matematicheskii Zhurnal, Vol. 11, No. 5, pp. 1046–1059, September–October, 1970.
Rights and permissions
About this article
Cite this article
Kantorovich, L.V., Makarov, V.L. Differential and functional equations arising in dynamic models of economy. Sib Math J 11, 777–786 (1970). https://doi.org/10.1007/BF00967837
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00967837