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一类非线性位势方程的可解性
引用本文:李彬,杨晗,沈洁琼. 一类非线性位势方程的可解性[J]. 成都大学学报(自然科学版), 2010, 29(1): 42-43,50. DOI: 10.3969/j.issn.1004-5422.2010.01.012
作者姓名:李彬  杨晗  沈洁琼
作者单位:西南交通大学数学学院,四川,成都,610031;西南交通大学数学学院,四川,成都,610031;西南交通大学数学学院,四川,成都,610031
摘    要:为了得到非线性位势方程的可解性,首先利用Schauder估计、嵌入定理以及Holder估计等验证了Leray-Schauder定理的条件,然后再用Leray-Schauder定理证明了一类特殊非线性位势方程解的存在性.

关 键 词:Leray-Schauder定理  Schauder估计  嵌入定理  Holder估计  可解性

Solvability for Nonlinear Potential Equations
LI Bin,YANG Han,SHEN Jieqiong. Solvability for Nonlinear Potential Equations[J]. Journal of Chengdu University (Natural Science), 2010, 29(1): 42-43,50. DOI: 10.3969/j.issn.1004-5422.2010.01.012
Authors:LI Bin  YANG Han  SHEN Jieqiong
Affiliation:QU Ke, TANG Lei, HUANG Jianbao (School of Information Management, Chengdu University of Technology, Chengdu 610059, China)
Abstract:The formula of inclusion degree about vague sets is extended to Interval-valued Intuitionistic Fuzzy Sets by nomaal implication operator. Then decision-making method of the multi-objective attributes is given based on inclusion degree of Interval-valued Intuitionistic Fuzzy Sets. Finally, the effectiveness of this method is discussed by examples.
Keywords:decision-making of multi-objective attributes  Interval-valued Intuitionistic Fuzzy Sets  normal implication  inclusion degree
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