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liapunov

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Journal Article
History of Political Economy (1991) 23 (3): 383–396.
Published: 01 September 1991
... -69. Patinkin , D. 1965 . Money, Interest and Prices . 2d ed. New York: Harper & Row. Weintraub , E. R. 1985 . General Equilibrium Analysis: Studies in Appraisal . New York: Cambridge University Press. Weintraub , E. R. 1987 . Stability Theory via Liapunov's Method...
Journal Article
History of Political Economy (1987) 19 (4): 615–620.
Published: 01 November 1987
... of economic thought.’ History of Political Economy 16 : 59 -67. Hicks , J. R. 1939 . Value and capital . Oxford. Liapunov , A. 1907 . ‘Problème générale de la stabilité du mouvement.’ Annales de la Faculté des Sciences de l'Université de Toulouse 9 : 203 -475. Morishima...
Journal Article
History of Political Economy (1992) 24 (Supplement): 3–12.
Published: 01 December 1992
... Economist A Influences Economist B .” Leaving economics aside, one excellent model for this kind of history can be found in Russett 1966. In economics, the dynamics story connects the mathematical commu- nity-J. W. Gibbs, E. B. Wilson, Poincari, Liapunov, Andronov, G.D. Birkhoff, Solomon Lefschetz...
Journal Article
History of Political Economy (1975) 7 (4): 530–548.
Published: 01 November 1975
... Journal. 35. The development of stability theorems makes for a curious story which should be examined by some future historian of science. The major work was done by the Russian mathematician A. M. Liapunov, whose original Memoire was published in Russian in 1892. Although a French translation...
Journal Article
History of Political Economy (1993) 25 (2): 331–350.
Published: 01 June 1993
... substitutes, H and the dynamic conditions coincide. Hicks was wrong but not all that wrong! Following Arrow-Debreu-McKenzie it is now a commonplace that global stability requires a Liapunov function, which has continuous and negative partial derivatives. Such a function guarantees that no matter...
Journal Article
History of Political Economy (1998) 30 (4): 545–569.
Published: 01 November 1998
... Stabilizing Dynamics, Roy Weintraub (1991) follows the same pattern when he asks why Paul Samuelson, in his work on stabil- ity analysis, chose not to make use of the readily available Liapunov method, a step that would have solved certain problems that took much longer to address without...
Journal Article
History of Political Economy 11156216.
Published: 06 March 2024
... mathe­ m­ a­ti­cians on diff­ ere­ nt­ ial equat­ ions and for reintegrating the trad­ i­ tions of Poincaré and Liapunov (Weintraub 1991: 71). This influ­ence seems to be cru­cial in the devel­op­ment of the post­war the­ory of the stab­ il­ ity of gen­eral equi­lib­rium (see more on Lefschetz s...