The distance between points of a solution of a second order linear differential equation satisfying general boundary conditions
type: Item
instance of: scholarly article
title: The distance between points of a solution of a second order linear differential equation satisfying general boundary conditions
zbMATH Open document ID: 1470.34058
DOI: 10.1155/2014/126713
author: Pedro Almenar
author: L. Jódar
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: This paper presents a method to obtain lower and upper bounds for the minimum distance between points \(a\) and \(b\) of the solution of the second order linear differential equation \(y'' + q(x) y = 0\) satisfying general separated boundary conditions of the type \(a_{11} y(a) + a_{12} y'(a) = 0\) and \(a_{21} y(b) + a_{22} y'(b) = 0\). The method is based on the recursive application of a linear operator to certain functions, a recursive application that makes these bounds converge to the exact distance between \(a\) and \(b\) as the recursivity index grows. The method covers conjugacy and disfocality as particular cases.
Mathematics Subject Classification ID: 34B05
Mathematics Subject Classification ID: 34C10
zbMATH DE Number: 7021761
Wikidata QID: Q59035304
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/126713
OpenAlex ID: W2007739128
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description: scientific article; zbMATH DE number 7021761