关于算子方程Nx=δLx解的若干研究  

Some research on solutions of the operator equation Nx = δLx

作　　者：罗雷[1] 朱传喜[1] 

机构地区：[1]南昌大学数学系,江西南昌330031

出　　处：《纯粹数学与应用数学》2011年第1期95-99,115,共6页Pure and Applied Mathematics

基　　金：国家自然科学基金(10761007;11071108);江西省自然科学基金(2007GZS2051)

摘　　要：利用多重拓扑度的性质以及一些不等式研究了零指标的Fredholm算子和L-全连续算子方程Nx=δLx的解,获得若干新的结果,推广了一些重要结论,并将结果应用到一类二阶微分方程的边值问题中.In this paper,the zero indicator operator L-and completely continuous operator equation Nx = δLx is studied by virtue of multiple topological degree and some inequalities. Meanwhile,some new theorems are obtained and some important conclusions are generalized. And that some new results are applied to some special differential equation.

关 键 词：多重拓扑度 L-全连续 FREDHOLM算子 同伦不变性 

分 类 号：O211.5[理学—概率论与数理统计]