Separation problem for sturm-liouville equation with operator coefficient

dc.creator	Oer, Z.
dc.date	2017-04-24
dc.identifier	https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1506
dc.identifier	10.4067/S0716-09172001000200003
dc.description	Let H be a separable Hilbert Space. Denote by H1 = L2(a,b; H) the set of function defned on the interval a < c < b (¾¥ a < c < b £ ¥)whose values belong to H strongly measurable [12] and satisfying the conditionZ b a \|\|f(x)\|\|2 Hdx < ? If the inner product of function ¦(c) and g(c) belonging to H1 is defined by (f, g)1 = Z b a (f(x), g(x))Hdx then H1 forms a separable Hilbert space. We study separation problem for the operator formed by ¾ y"+ Q (c) y Sturm-Liouville differential expression in L2(¾ ¥, ¥; H) space has been proved where Q (c) in an operator which transforms at H in value of c,,self-adjoint, lower bounded and its inverse is complete continous.	es-ES
dc.format	application/pdf
dc.language	spa
dc.publisher	Universidad Católica del Norte.	en-US
dc.relation	https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1506/1284
dc.rights	Copyright (c) 2001 Proyecciones. Journal of Mathematics	en-US
dc.source	Proyecciones (Antofagasta, On line); Vol. 20 No. 2 (2001); 177-191	en-US
dc.source	Proyecciones. Revista de Matemática; Vol. 20 Núm. 2 (2001); 177-191	es-ES
dc.source	0717-6279
dc.title	Separation problem for sturm-liouville equation with operator coefficient	es-ES
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion
dc.type	Peer-reviewed Article	en-US