摘要
该文把迭合度的概念推广到算子L-N在锥上的零点指数.利用锥理论给出了零点指数的一些计算方法和算子方程解的存在性定理,并应用到m点边值非局部共振问题非负解的存在性.
In this paper, the concept about coincidence degree is generalized to the zero point index of L - N operators in cones. Some methods of computation of the zero point index and the existence theorems of operator equations are given by making use of the theory of cones and applied to investigate the existence of nonnegative solutions for the second order ordinary differential equation of m-point nonlocal boundary value problems at resonance.
出处
《数学物理学报(A辑)》
CSCD
北大核心
2010年第1期278-288,共11页
Acta Mathematica Scientia
基金
国家自然科学基金(10971179)资助