Focal subfunctions and second order differential inequalities
type: Item
instance of: scholarly article
title: Focal subfunctions and second order differential inequalities
zbMATH Open document ID: 0767.34012
author: S. Umamaheswaram
author: M. Venkata Rama
published in: Rocky Mountain Journal of Mathematics
publication date: 1993-04-01T00:00:00Z
review text: The authors are interested in the differential equation \(y''=f(x,y,y')\) associated with one of the following boundary conditions \(y(x_ 1)=y_ 1\), \(y'(x_ 2)=y_ 2\) and \(y(x_ 1)=y_ 1\), \(y(x_ 2)=y_ 2\), where \(x_ 1<x_ 2\) are reals. The main purpose is to provide sufficient conditions for the existence of solutions of those problems as well as to discuss when a given function is a so-called right focal subfunction with respect to such solutions.
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 34B10
Mathematics Subject Classification ID: 34A40
zbMATH DE Number: 150398
zbMATH Keywords: boundary-value problems
zbMATH Keywords: differential equations of second order
zbMATH Keywords: right focal subfunction
reviewed by: George Karakostas
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1216/rmjm/1181072933
OpenAlex ID: W1970640880
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cites work: Q5183900
cites work: A Note on Second Order Differential Inequalities
cites work: Existence theorems for second order boundary value problems
DOI: 10.1216/RMJM/1181072933
description: scientific article; zbMATH DE number 150398