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算子方程Lx=Nx的正解
  • 期刊名称：数学物理学报
  • 时间：0
  • 页码：278-288
  • 分类：O175.14[理学—数学;理学—基础数学]
  • 作者机构：[1]江苏工业学院数理学院,江苏常州213164, [2]徐州师范大学数学科学学院,江苏徐州221116, [3]山东科技大学信息科学与工程学院,山东青岛266510
  • 相关基金：基金项目：国家自然科学基金（10971179）资助
  • 相关项目：非线性泛函分析及其应用
作者： 王峰|孙经先|崔玉军|
关键词： 零点指数, FREDHOLM算子, 锥, 边值问题, 共振., Zero point index, Fredholm operators, Cone, Boundary value problems, Resonance.
中文摘要：

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．

英文摘要：

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.

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非线性泛函分析及其应用
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