SPECTRA OF THE GURTIN-PIPKIN TYPE EQUATIONS

被引：32

作者：

Eremenko, Alexandre ^{[1
]}

Ivanov, Sergei ^{[2
]}

机构：

[1] Purdue Univ, W Lafayette, IN 47907 USA

[2] State Marine Tech Univ, St Petersburg, Russia

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2011年 / 43卷 / 05期

基金：

美国国家科学基金会;

关键词：

Gurtin-Pipkin equation; spectrum; Denjoy-Wolff theorem; CONTROLLABILITY;

D O I：

10.1137/100811908

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the spectra of certain linear integro-differential equations in one dimension arising in applications. Under some conditions on the kernel of the integral operator, we describe the nonreal part of the spectrum. The main tool is the theory of analytic functions mapping the upper half-plane into itself.

引用

页码：2296 / 2306

页数：11

共 15 条

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[2]

Evgrafov M.A., 1972, COLLECTION PROBLEMS

[3]

Gantmakher FR., 1998, The Theory of Matrices

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