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一类定态四阶方程解的存在性
引用本文:尹方平.一类定态四阶方程解的存在性[J].科学技术与工程,2009,9(9).
作者姓名:尹方平
作者单位:广东机电职业技术学院,广州,510515
摘    要:研究四阶非线性抛物型微分方程定态解的存在性,应用不动点方法证明解的存在性.在四阶抛物型方程中,最大值原理已经不再成立,使得最大模估计不易获得.

关 键 词:存在性  四阶抛物  定态

Existence of Solutions to a Steady-state Fourth-order Equation
YIN Fang-ping.Existence of Solutions to a Steady-state Fourth-order Equation[J].Science Technology and Engineering,2009,9(9).
Authors:YIN Fang-ping
Institution:Guangdong Vocational College of Mechanical and Electrical Technology;Guangzhou 510515;P.R.China
Abstract:The existence of solutions for a steady-state fourth-order parabolic partial differential equation is devoted.Existences of solutions is obtained by the fixed point theorem.For the fourth-order parabolic equation,the maximum principle doesn't hold and it's difficult to get the maximum estimate.
Keywords:existence fourth-order parabolic steady-state  
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