\(L^2\)-properties of solutions and ranks of radii of the limit matrix circles for nonselfadjoint systems of differential equations
type: Item
instance of: scholarly article
title: \(L^2\)-properties of solutions and ranks of radii of the limit matrix circles for nonselfadjoint systems of differential equations
zbMATH Open document ID: 1128.34004
DOI: 10.1134/S1061920806010080
author: V. P. Serebryakov
published in: Russian Journal of Mathematical Physics
publication date: 2007-03-26T00:00:00Z
review text: This paper examines properties of the solutions of the differential equations \[ -(Py')'+Qy=0\quad\text{ and }\quad-(P^*y')'+Q^*y=0, \] where \(P\) and \(Q\) are complex \(n\times n\) matrix-valued functions defined on \([0,\infty )\) and the entries of \((P(x))^{-1}\) and \(Q(x)\) are locally integrable functions of \(x\). Results include bounds for the number of linearly independent solutions satisfying various conditions.
Mathematics Subject Classification ID: 34A30
Mathematics Subject Classification ID: 34B20
zbMATH DE Number: 5136612
reviewed by: Alan L. Andrew
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5136612