The essential spectral radius of Volterra operators and an application to Volterra-Hammerstein functional inclusions

被引：0
|
作者：
Vaeth, Martin [1 ]
机构：
[1] Univ Wurzburg, Dept Math, D-97074 Wurzburg, Germany
来源：
POSITIVITY | 2009年 / 13卷 / 01期
关键词：
Abstract Volterra operator; essential spectrum; measure of non-compactness; Leray-Schauder alternative; Volterra-Hammerstein functional inclusion; nonlinear integral equation; multivalued maps; NONCOMPACTNESS;
D O I：
10.1007/s11117-008-2158-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is shown that for abstract linear Volterra operators the spectral radius is the essential spectral radius. The result is applied to prove the existence of a global solution of a Volterra-Hammerstein functional inclusion when the nonlinearity has at most affine growth.
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页码：287 / 298
页数：12
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