The existence of solutions to Sturm-Liouville boundary value problems with Laplacian-like operator.
type: Item
instance of: scholarly article
title: The existence of solutions to Sturm-Liouville boundary value problems with Laplacian-like operator.
zbMATH Open document ID: 1035.34012
author: W. P. Sun
author: Weigao Ge
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 2002-01-01T00:00:00Z
review text: Writing the nonlinear differential equation \((\phi(u^\prime))^\prime+f(t,u,u^\prime)=0\) on \([0,T]\) with mixed boundary conditions at either endpoint, where \(\phi\) is strictly increasing with \(y\phi(y)>0\) for \(y\neq 0\) and \(| \phi(y)| /| y| ^\alpha\) and \(f(t,u,u^\prime)/\phi(u)\) are bounded and bounded away from zero, in terms of generalized polar coordinates, results are obtained on the period of any closed trajectory and the number of solutions.
Mathematics Subject Classification ID: 34B24
Mathematics Subject Classification ID: 34B16
zbMATH DE Number: 1885878
zbMATH Keywords: Laplacian-like operator
zbMATH Keywords: generalized polar coordinates
zbMATH Keywords: boundary value problem
MaRDI profile type: Publication
full work available at URL: s102550200034
OpenAlex ID: W2044499172
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DOI: 10.1007/S102550200034
description: scientific article; zbMATH DE number 1885878