garrulous 发表于 2025-3-26 22:38:00
G-Protein-Coupled Receptor Dimersrregional trade equilibrium and dynamics as formulated by Martin Beckmann in 1952 and 1953. This gives us one more opportunity to study partial differential equation models in economics and to employ the concepts from vector analysis introduced in Chapter 3.吞没 发表于 2025-3-27 02:24:43
http://reply.papertrans.cn/17/1650/164917/164917_32.png生命 发表于 2025-3-27 07:16:54
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http://image.papertrans.cn/b/image/164917.jpg荨麻 发表于 2025-3-27 16:07:26
Walter J. Koch PHD,Robert J. Lefkowitz MDDynamic analysis in economics is as old as economics itself. A glance at the subject index in Joseph Schumpeter’s monumental . is sufficient to convince you about this. Even dynamic mathematical models are fairly old. Cournot duopoly dates back to 1838 and the cobweb model of price adjustments to 1887.骄傲 发表于 2025-3-27 18:43:53
Mathematics and Its ApplicationsWe have been studying nonlinear oscillatory processes, starting with the simplest autonomous case, and later incorporating forcing. The modelling was in terms of ordinary differential equations (ODE), and the most important tool used was the phase diagram.Culpable 发表于 2025-3-27 22:57:04
,-convergence of Abstract Operators,In Chapter 2 we saw that the behaviour of differential equations could be studied in terms of first return maps for points on the Poincaré section to itself. In this way the maps are related to differential equation systems.Motilin 发表于 2025-3-28 03:42:02
Fuchsian Differential Systems: Formal TheoryOn several occasions we already encountered the concept of bifurcation. In Sections 2.5–2.6 we for instance discussed the Hopf bifurcation from fixed point to limit cycle, and the saddle-node bifurcation, which again broke up the continuous cycle into a discrete set of fixed points.消极词汇 发表于 2025-3-28 06:34:57
Geometric Differential EquationsEconomics recognizes two opposite market forms: competition and monopoly. In the competitive case the firms are very numerous and thus small in relation to the total size of the market. In consequence they consider market price as being approximately given independently of any action they can take on their own with regard to their supply.保留 发表于 2025-3-28 10:49:29
G-Protein-Coupled Receptor DimersThe most obvious aspect of economic development is that of increasing mass and volume: of people, households, commodities, services, firms, communications.