On a nonlinear eigenvalue problem

被引：0
|
作者：
M. Gasanov
Y. Cesur
机构：
[1] Istanbul Tech. Univ.,Dept. of Math.
来源：
Integral Equations and Operator Theory | 1997年 / 29卷 / 4期
关键词：
Primary 47A56; 49R20; Secondary 47A10;
D O I：
10.1007/BF01193813
中图分类号：
学科分类号：
摘要：
In the present paper we consider a selfadjoint and nonsmooth operator-valued function on (c, d)⊂R1. We suppose that the equation (L(α)x, x)=0,x≠0, has exactly one rootp(x) ∈ (c, d) and the functionf(α)=(L(α)x, x) is increasing at the pointp(x). We discuss questions of the variational theory of the spectrum. Some theorems on the variational properties of the spectrum are proved.
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页码：491 / 500
页数：9
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