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与p-Laplace算子方程相关的m增生映射的零点集的构造
引用本文:魏利,段丽凌,谭瑞林.与p-Laplace算子方程相关的m增生映射的零点集的构造[J].数学的实践与认识,2010,40(8).
作者姓名:魏利  段丽凌  谭瑞林
作者单位:河北经贸大学数学与统计学学院,河北石家庄,050061
基金项目:国家自然科学基金(10771050); 河北自然科学基金(A2010001482); 河北省教育厅科学研究计划项目2009115
摘    要:许多求非线性系统的均衡解的问题都可以转化为寻找某个m增生映射的零点的问题.将利用非线性增生映射的性质,给出一类与p-Laplace算子方程相关的m增生映射的零点集的构造,其中2N/N+1p+∞且N≥1.

关 键 词:m增生映射  零点  hemi连续映射

Construction of the Null Point Set of an m-Accretive Mapping-Related to the p-Laplacian Equation
WEI Li,DUAN Li-ling,TAN Rui-lin.Construction of the Null Point Set of an m-Accretive Mapping-Related to the p-Laplacian Equation[J].Mathematics in Practice and Theory,2010,40(8).
Authors:WEI Li  DUAN Li-ling  TAN Rui-lin
Institution:WEI Li,DUAN Li-ling,TAN Rui-lin (School of Mathematics , Statistics,Hebei University of Economics , Business,Shijiazhuang 050061. China)
Abstract:Most problems of finding equilibrium solution of nonlinear systems can be reduced to the cases of finding null point of m-accretive mappings.By using the properties of nonlinear accretive mappings,the null point set of m-accretive mapping related to p-Laplacian equation has been constructed,where(2N)/(N+1)
Keywords:m-accretive mapping  null point  hemi-continuous mapping  
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