SEPARATION PROBLEM FOR STURM-LIOUVILLE EQUATION WITH OPERATOR COEFFICIENT

Let H be a separable Hilbert Space. Denote by H1 = L2(a,b; H) the set of function defned on the interval a < chi ¾¥ a < c £...

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Autor principal:	OER,Z.
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2001
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172001000200003
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spelling	oai:scielo:S0716-091720010002000032001-11-07SEPARATION PROBLEM FOR STURM-LIOUVILLE EQUATION WITH OPERATOR COEFFICIENTOER,Z.Let H be a separable Hilbert Space. Denote by H1 = L2(a,b; H) the set of function defned on the interval a < chi < b (<FONT FACE=Symbol>¾</FONT><FONT FACE=Symbol>¥</FONT> <FONT FACE=Symbol>a < c</FONT> < b <FONT FACE=Symbol>£</FONT><FONT FACE=Symbol>¥</FONT>) whose values belong to H strongly measurable [12] and satisfying the condition If the inner product of function <FONT FACE=Symbol>¦</FONT>(chi) and g(chi) belonging to H1 is defined by then H1 forms a separable Hilbert space. We study separation problem for the operator formed by <FONT FACE=Symbol>¾</FONT> y"+ Q (chi) y Sturm-Liouville differential expression in L2(<FONT FACE=Symbol>¾</FONT> <FONT FACE=Symbol>¥</FONT>, <FONT FACE=Symbol>¥</FONT>; H) space has been proved where Q (chi) in an operator which transforms at H in value of chi,,self-adjoint, lower bounded and its inverse is complete continousinfo:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.20 n.2 20012001-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172001000200003en10.4067/S0716-09172001000200003
institution	Scielo Chile
collection	Scielo Chile
language	English
description	Let H be a separable Hilbert Space. Denote by H1 = L2(a,b; H) the set of function defned on the interval a < chi < b (<FONT FACE=Symbol>¾</FONT><FONT FACE=Symbol>¥</FONT> <FONT FACE=Symbol>a < c</FONT> < b <FONT FACE=Symbol>£</FONT><FONT FACE=Symbol>¥</FONT>) whose values belong to H strongly measurable [12] and satisfying the condition If the inner product of function <FONT FACE=Symbol>¦</FONT>(chi) and g(chi) belonging to H1 is defined by then H1 forms a separable Hilbert space. We study separation problem for the operator formed by <FONT FACE=Symbol>¾</FONT> y"+ Q (chi) y Sturm-Liouville differential expression in L2(<FONT FACE=Symbol>¾</FONT> <FONT FACE=Symbol>¥</FONT>, <FONT FACE=Symbol>¥</FONT>; H) space has been proved where Q (chi) in an operator which transforms at H in value of chi,,self-adjoint, lower bounded and its inverse is complete continous
author	OER,Z.
spellingShingle	OER,Z. SEPARATION PROBLEM FOR STURM-LIOUVILLE EQUATION WITH OPERATOR COEFFICIENT
author_facet	OER,Z.
author_sort	OER,Z.
title	SEPARATION PROBLEM FOR STURM-LIOUVILLE EQUATION WITH OPERATOR COEFFICIENT
title_short	SEPARATION PROBLEM FOR STURM-LIOUVILLE EQUATION WITH OPERATOR COEFFICIENT
title_full	SEPARATION PROBLEM FOR STURM-LIOUVILLE EQUATION WITH OPERATOR COEFFICIENT
title_fullStr	SEPARATION PROBLEM FOR STURM-LIOUVILLE EQUATION WITH OPERATOR COEFFICIENT
title_full_unstemmed	SEPARATION PROBLEM FOR STURM-LIOUVILLE EQUATION WITH OPERATOR COEFFICIENT
title_sort	separation problem for sturm-liouville equation with operator coefficient
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2001
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172001000200003
work_keys_str_mv	AT oerz separationproblemforsturmliouvilleequationwithoperatorcoefficient
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SEPARATION PROBLEM FOR STURM-LIOUVILLE EQUATION WITH OPERATOR COEFFICIENT

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