一类非线性位势方程的可解性  

Solvability for Nonlinear Potential Equations

作　　者：李彬[1] 杨晗[1] 沈洁琼[1] 

机构地区：[1]西南交通大学数学学院,四川成都610031

出　　处：《成都大学学报（自然科学版）》2010年第1期42-43,50,共3页Journal of Chengdu University（Natural Science Edition）

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.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.

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

分 类 号：O175.25[理学—数学]