论文标题
在非线性连续操作员的频谱上
On Spectrum of Nonlinear Continuous Operators
论文作者
论文摘要
本文提出了一种新的方法来确定Banach空间中非线性连续运算符的频谱，并使用它研究了某些类别的运营商的光谱。此处表明，在非线性操作员中，必须与另一个非线性操作员相对地寻求给定的非线性操作员的频谱。此外，所检查的运算符和操作员的非线性顺序相对与寻求频谱相同。这里提供了相对于如何找到特征值并研究解决性问题的不同示例。
This article proposed a new approach to the determination of the spectrum for nonlinear continuous operators in the Banach spaces and using it investigated the spectrum of some classes of operators. Here shows that in nonlinear operators case is necessary to seek the spectrum of a given nonlinear operator relatively to another nonlinear operator. Moreover, the order of nonlinearity of examined operator and operator relatively to which seek the spectrum must be identical. Here provided different examples relative to how one can find the eigenvalue and also studied solvability problems.
