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.
出处
《纯粹数学与应用数学》
CSCD
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)
