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Solution of a Class of Assets Evolution Equation with Foreign Investment

Author: QianYan
Tutor: ZuoPing
School: Xinjiang University
Course: Applied Mathematics
Keywords: assets evolution equation characteristic line method existence and unique-ness Banach fixed point theorem Gronwall inequality
CLC: O175
Type: Master's thesis
Year: 2008
Downloads: 6
Quote: 0
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Abstract


There has been nearly a century on the study of macroeconomics model since Amer-ican scholar Muer studied labor marketing analysis. The study of macroeconomics modelhas been in warm and extensive applications period since 1990s because of the applica-tions of higher e?cient computer. At present it has penetrated each branch of economicsand has been widely concerned by all countries of the world.In this paper, based on the model which set by jingyuan yu in Literature[1], weconsider a class of nonlinear assets evolution equation with foreign investment under thenon-local and non-linear initial and bounded conditions.The corresponding integral systemis obtained by using the characteristic line method,and local existence and uniqueness ofits solution are proved in terms of Banach fixed point theorem. And by a prior estimateand isometric extension the theorem on the global existence and uniqueness of integralsystem solutions to the integral system are also obtained. Finally the regularity and thedependence on the initial values of solution to the integral system are presented, then weobtain the the well-posedness of solution to the given problem.The model can not only re?ect the assets of the various periods, but also can describeassets easements age structure changes in the distribution directly and can be used tocontrol investment and long-term macro-economic development forecast.

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations
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