Eigenvalues of second-order linear equations with coupled boundary conditions on time scales
type: Item
instance of: scholarly article
title: Eigenvalues of second-order linear equations with coupled boundary conditions on time scales
zbMATH Open document ID: 1205.34137
author: Chao Zhang
author: Dian Wu Yang
published in: Journal of Applied Mathematics and Computing
publication date: 2010-06-29T00:00:00Z
review text: The authors consider a coupled boundary eigenvalue problem of the form \[ -(p(t)y^\Delta(t))^\Delta + q(t) y^\sigma(t) = \lambda r(t) y^\sigma(t) \] with \[ \binom {y(1)}{y^\Delta(1)}= e^{i\alpha} K\binom {y(\rho(0))}{y^\Delta(\rho(0))} \] on a general time scale. The main objective is to guarantee existence of eigenvalues and compute their multiplicities under certain conditions on the matrix \(K\) and exponent \(\alpha\). The results are extensions of known ones from difference equations to the general time scales setting.
reviewed by: Stefan Hilger
Mathematics Subject Classification ID: 34N05
Mathematics Subject Classification ID: 34B09
zbMATH DE Number: 5728283
zbMATH Keywords: time scales
zbMATH Keywords: coupled boundary conditions
MaRDI profile type: Publication
full work available at URL: s12190-009-0270-5
OpenAlex ID: W2036275660
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DOI: 10.1007/S12190-009-0270-5
description: scientific article; zbMATH DE number 5728283