Positive steady-state solutions of a non-linear reaction-diffusion system

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作者：

Christopher Newport Univ, Newport News, United States ^{[1
]}

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来源：

Math Methods Appl Sci | / 7卷 / 625-634期

关键词：

Boundary conditions - Nonlinear equations - Nonlinear systems - Problem solving - Theorem proving;

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摘要：

The steady-state problem of the non-linear reaction-diffusion system ut-uxx = u(av-b), vt-vxx = cu is considered. The existence of positive steady-solutions is established by using a fixed point theorem in ordered Banach space. The uniqueness of ordered positive steady-state solutions and an application to the associated reaction-diffusion system arc presented.

引用

共 50 条

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