On the definition of eigenvalues for nonlinear operators

被引：13
|
作者：
Santucci, P
Väth, M [1 ]
机构：
[1] Univ Wurzburg, Dept Math, D-97074 Wurzburg, Germany
[2] Univ Rome La Sapienza, Dipartimento MeMoMat, I-00183 Rome, Italy
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2000年 / 40卷 / 1-8期
关键词：
nonlinear spectral theory; nonlinear eigenvalue; nonlinear point spectrum;
D O I：
10.1016/S0362-546X(00)85034-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Several attempts have been made to generalize the definition of the spectrum to nonlinear operators. These studies were analyzed, particularly where two different spectra for nonlinear operators are defined and divided into several subspectra. The most important difference in these papers concerns the eigenvalues, that is, the point spectrum.
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页码：565 / 576
页数：12
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