Eigenfunction and Green's function asymptotics for Hill's equation with symmetric single-well potential
type: Item
instance of: scholarly article
title: Eigenfunction and Green's function asymptotics for Hill's equation with symmetric single-well potential
published in: Ukrainian Mathematical Journal
publication date: 2022-10-18T00:00:00Z
review text: In this paper, the author, first, calculate the asymptotic formulas for eigenfunctions of a Hill's equation with symmetric single-well potential under periodic and semi-periodic boundary conditions. Later on, the author determines the asymptotics of Green's function related to Hill's equation with estimates imposed on the eigenfunctions.
reviewed by: Erdoǧan Şen
Mathematics Subject Classification ID: 34B30
Mathematics Subject Classification ID: 34L10
Mathematics Subject Classification ID: 34L20
Mathematics Subject Classification ID: 34B27
zbMATH DE Number: 7602896
zbMATH Keywords: Hill's equation
zbMATH Keywords: Green's function
zbMATH Keywords: asymptotics of eigenvalues and eigenfunctions
zbMATH Keywords: periodic boundary conditions
zbMATH Keywords: semi-periodic boundary conditions
author: Ayşe Kabataş
MaRDI profile type: Publication
full work available at URL: s11253-022-02059-5
OpenAlex ID: W4302763924
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DOI: 10.1007/S11253-022-02059-5
description: scientific article; zbMATH DE number 7602896