A nodal inverse problem for second order Sturm-Liouville operators with indefinite weights

In this paper we study an inverse problem for weighted second order Sturm-Liouville equations. We show that the zeros of any subsequence of eigenfunctions, or a dense set of nodes, are enough to determine the weight. We impose weaker hypotheses for positive weights, and we generalize the proof to in...

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Detalles Bibliográficos
Autor principal:	Pinasco, Juan Pablo
Publicado:	2015
Materias:	Eigenvalues Indefinite weights Inverse problems Nodal points Differential equations Eigenvalues and eigenfunctions Liouville equation Second orders Shooting methods Sturm-Liouville equation Sturm-Liouville operators
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00963003_v256_n_p819_Pinasco http://hdl.handle.net/20.500.12110/paper_00963003_v256_n_p819_Pinasco
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_00963003_v256_n_p819_Pinasco
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spelling	paper:paper_00963003_v256_n_p819_Pinasco2023-06-08T15:09:46Z A nodal inverse problem for second order Sturm-Liouville operators with indefinite weights Pinasco, Juan Pablo Eigenvalues Indefinite weights Inverse problems Nodal points Differential equations Eigenvalues and eigenfunctions Liouville equation Eigenvalues Indefinite weights Nodal points Second orders Shooting methods Sturm-Liouville equation Sturm-Liouville operators Inverse problems In this paper we study an inverse problem for weighted second order Sturm-Liouville equations. We show that the zeros of any subsequence of eigenfunctions, or a dense set of nodes, are enough to determine the weight. We impose weaker hypotheses for positive weights, and we generalize the proof to include indefinite weights. Moreover, the parameters in the boundary conditions can be determined numerically by using a shooting method. © 2015 Elsevier Inc. All rights reserved. Fil:Pinasco, J.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2015 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00963003_v256_n_p819_Pinasco http://hdl.handle.net/20.500.12110/paper_00963003_v256_n_p819_Pinasco
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Eigenvalues Indefinite weights Inverse problems Nodal points Differential equations Eigenvalues and eigenfunctions Liouville equation Eigenvalues Indefinite weights Nodal points Second orders Shooting methods Sturm-Liouville equation Sturm-Liouville operators Inverse problems
spellingShingle	Eigenvalues Indefinite weights Inverse problems Nodal points Differential equations Eigenvalues and eigenfunctions Liouville equation Eigenvalues Indefinite weights Nodal points Second orders Shooting methods Sturm-Liouville equation Sturm-Liouville operators Inverse problems Pinasco, Juan Pablo A nodal inverse problem for second order Sturm-Liouville operators with indefinite weights
topic_facet	Eigenvalues Indefinite weights Inverse problems Nodal points Differential equations Eigenvalues and eigenfunctions Liouville equation Eigenvalues Indefinite weights Nodal points Second orders Shooting methods Sturm-Liouville equation Sturm-Liouville operators Inverse problems
description	In this paper we study an inverse problem for weighted second order Sturm-Liouville equations. We show that the zeros of any subsequence of eigenfunctions, or a dense set of nodes, are enough to determine the weight. We impose weaker hypotheses for positive weights, and we generalize the proof to include indefinite weights. Moreover, the parameters in the boundary conditions can be determined numerically by using a shooting method. © 2015 Elsevier Inc. All rights reserved.
author	Pinasco, Juan Pablo
author_facet	Pinasco, Juan Pablo
author_sort	Pinasco, Juan Pablo
title	A nodal inverse problem for second order Sturm-Liouville operators with indefinite weights
title_short	A nodal inverse problem for second order Sturm-Liouville operators with indefinite weights
title_full	A nodal inverse problem for second order Sturm-Liouville operators with indefinite weights
title_fullStr	A nodal inverse problem for second order Sturm-Liouville operators with indefinite weights
title_full_unstemmed	A nodal inverse problem for second order Sturm-Liouville operators with indefinite weights
title_sort	nodal inverse problem for second order sturm-liouville operators with indefinite weights
publishDate	2015
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00963003_v256_n_p819_Pinasco http://hdl.handle.net/20.500.12110/paper_00963003_v256_n_p819_Pinasco
work_keys_str_mv	AT pinascojuanpablo anodalinverseproblemforsecondordersturmliouvilleoperatorswithindefiniteweights AT pinascojuanpablo nodalinverseproblemforsecondordersturmliouvilleoperatorswithindefiniteweights
_version_	1768546534003048448

A nodal inverse problem for second order Sturm-Liouville operators with indefinite weights

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