一类Hammerstein型非线性方程的固有值与分歧点  

The Eigenvalues and Branch Points of a Kind of Hammerstein Type Nonlinear Equations

作　　者：刘波[1] 

机构地区：[1]中国科学院成都分院

出　　处：《西南交通大学学报》1990年第4期79-85,共7页Journal of Southwest Jiaotong University

摘　　要：本文利用Leray-Schauder度理论和锥理论研究了一类Hammerstein型非线性积分方程的固有值与国有函数的分布,进而得到两个无法用本征值的维数与拓扑方法(大范围分歧定理)得到的分歧定理。In this paper, the eigenvalues and distribution of eigen-functions for a kind of Hammerstein type nonlinear integral equations are discussed by using the Leray-Schauder degree and cone theory. Furthermore, two bifurcation theorems, which can not be obtained by the dimension of eigenvalue and topology method (the large extent bifurcation theorem), are obtained.

关 键 词：固有值 固有函数 非线性方程 分歧 

分 类 号：O175.5[理学—数学]