Almost periodic gross-substitute dynamical systems
George R. Sell,Fumio Nakajima +1 more
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This article is published in Tohoku Mathematical Journal.The article was published on 1980-01-01 and is currently open access. It has received 12 citations till now. The article focuses on the topics: Method of averaging & Hamiltonian system.read more
Citations
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Convergence in monotone and uniformly stable skew-product semiflows with applications
Jifa Jiang,Xiao-Qiang Zhao +1 more
TL;DR: In this article, the 1-covering property of omega limit sets is established for monotone and uniformly stable skew-product semiflow with the componentwise separating property of bounded and ordered full orbits.
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Strictly cooperative systems with a first integral
TL;DR: In this paper, the authors consider systems of differential equations where each solution converges to an equilibrium or eventually leaves any compact set and prove that every solution to such a system either converges or leaves a compact set.
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Strictly nonautonomous cooperative system with a first integral
TL;DR: In this paper, the authors considered the nonautono mows cooperative system and showed that every solution to such a system either converges to an asymptotic state (for the almost periodic (or periodic) case) or eventually leaves any compact set.
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Minimal sets in monotone and concave skew-product semiflows II: Two-dimensional systems of differential equations
TL;DR: In this paper, a complete description of all the minimal sets in a very interesting dynamical situation is provided, and some criteria to determine its possible existence and the area on which they lie are given.
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Convergence in almost periodic cooperative systems with a first integral
Wenxian Shen,Xiao-Qiang Zhao +1 more
TL;DR: Tang et al. as mentioned in this paper investigated the asymptotic dynamics of almost periodic cooperative systems with a first integral and proved a conjecture of B. Tang, Y. Kuang and H. Smith.
References
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Book
Foundations of Economic Analysis
TL;DR: Recent statistical techniques, including nonlinear programming, have been added to a basic survey of equilibrium systems, comparative statistics, consumer behavior theory, and cost and production theory as discussed by the authors, and they have been used in a variety of applications.
Book
Almost Periodic Differential Equations
TL;DR: In this paper, the fourier series theory is applied to almost periodic functions and other weaker conditions, such as the exponential dichotomy and kinematic similarity of the Fourier series.
Journal ArticleDOI
On the stability of the competitive equilibrium, i1
Kenneth J. Arrow,Leonid Hurwicz +1 more
TL;DR: In this article, Arrow and Hurwicz extended the results of "I" in several directions and provided a proof of stability in the large (and not merely locally) when all goods are gross substitutes; this result is valid for processes where the price adjustment rate is a continuous sign-preserving, but not necessarily proportionate, function of excess demand.
Journal ArticleDOI
Foundations of Economic Analysis.
TL;DR: Recent statistical techniques, including nonlinear programming, have been added to a basic survey of equilibrium systems, comparative statistics, consumer behavior theory, and cost and production theory as discussed by the authors, and they have been used in a variety of applications.