The eigenvalues of the problems of \(\mathbb{R}\)-linear conjugation
type: Item
instance of: scholarly article
title: The eigenvalues of the problems of \(\mathbb{R}\)-linear conjugation
zbMATH Open document ID: 0805.30029
published in: Russian Mathematics
publication date: 1994-10-05T00:00:00Z
review text: The author considers the problem of \(\mathbb{R}\)-linear conjugation \(\varphi^ +(t) = \varphi^ -(t) + \lambda \overline {\varphi^ - (t)}\), \(t \in \nu\), \(\varphi^ -(\infty) = 0\), where \(\gamma\) is a Lyapunov closed contour in the complex plane and \(\varphi (z)\) is sectionally holomorphic with jumping curve \(\gamma\). It is proved that the problem has nontrivial solutions (or has eigenvalues) iff \(\gamma\) is not a circle.
Mathematics Subject Classification ID: 30E25
zbMATH DE Number: 640194
zbMATH Keywords: problem of linear
zbMATH Keywords: conjugation
zbMATH Keywords: eigenvalues
zbMATH Keywords: potential
author: Vladimir Mityushev
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 640194