2n阶非线性微分方程组解的存在性和唯一性  

Multiple Solutions of System of 2n-order Nonlinear Differential Equations

作　　者：徐自立[1] 娄菊红[2] 

机构地区：[1]中州大学信息工程学院,河南郑州450044 [2]郑州市第四十七中学,河南郑州450044

出　　处：《华北水利水电学院学报》2010年第4期158-160,共3页North China Institute of Water Conservancy and Hydroelectric Power

摘　　要：非线性泛函分析是研究当今科学领域中出现的各种非线性问题的强有力的理论工具,这里主要利用非线性泛函分析中的变分方法,结合临界点理论,特别是Morse理论,研究一个2n阶非线性微分方程组解的存在性、唯一性.Nonlinear functional analysis is a strong theory tool which can be used to research various kinds nonlinear questions in the field of science at present. In this thesis, the variational approach of nonlinear functional analysis, will be employed combining the critical point theory and Morse theory to discuss the existence, uniqueness and multiplicity of solution of system of one 2n-order nonlinear differential equations.

关 键 词：方程组 存在性 临界点 临界群 MORSE理论 

分 类 号：O175[理学—数学]