Existence of solutions of a nonlinear eigenvalue problem and their properties
type: Item
instance of: scholarly article
title: Existence of solutions of a nonlinear eigenvalue problem and their properties
author: D. V. Valovik
author: Q6068089
published in: Sbornik: Mathematics
publication date: 2024-07-09T00:00:00Z
review text: The authors investigate an eigenvalue problem for a nonautonomous second order ordinary differential equation on a closed interval. They derive the asymptotic formulae for the eigenvalues and the maxima of the eigenfunctions. They prove the existence of infinite numbers of positive and negative eigenvalues. In addition, they establish comparison theorems.
reviewed by: Bertin Zinsou
Mathematics Subject Classification ID: 34B09
Mathematics Subject Classification ID: 34L15
Mathematics Subject Classification ID: 34L20
Mathematics Subject Classification ID: 34L10
Mathematics Subject Classification ID: 34C10
zbMATH DE Number: 7878628
zbMATH Keywords: nonlinear eigenvalue problem
zbMATH Keywords: nonlinear problem of Sturm-Liouville type
zbMATH Keywords: eigenvalue asymptotics
zbMATH Keywords: comparison theorem
zbMATH Keywords: nonlinearizable solutions
zbMATH Keywords: integral characteristic equation
MaRDI profile type: Publication
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DOI: 10.4213/SM9892E
description: scientific article; zbMATH DE number 7878628