An inverse spectral problem for the Euler-Bernoulli equation for the vibrating beam

Papanicolaou, VG; Kravvaritis, D

dc.contributor.author	Papanicolaou, VG	en
dc.contributor.author	Kravvaritis, D	en
dc.date.accessioned	2014-03-01T01:12:37Z
dc.date.available	2014-03-01T01:12:37Z
dc.date.issued	1997	en
dc.identifier.issn	0266-5611	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12173
dc.subject	Boundary Condition	en
dc.subject	Eigenvalue Problem	en
dc.subject	Inverse Spectral Problem	en
dc.subject	Physical Characteristic	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Physics, Mathematical	en
dc.title	An inverse spectral problem for the Euler-Bernoulli equation for the vibrating beam	en
heal.type	journalArticle	en
heal.identifier.primary	10.1088/0266-5611/13/4/013	en
heal.identifier.secondary	http://dx.doi.org/10.1088/0266-5611/13/4/013	en
heal.language	English	en
heal.publicationDate	1997	en
heal.abstract	The equation of the vibrating beam, together with some appropriate boundary conditions, can be viewed as an eigenvalue problem for the operator L given by Lu = rho(-1)(au '')'' where the functions a and rho are strictly positive, and correspond to physical characteristics of the beam. In this work we examine how a given spectral datum determines whether a(x)rho(x) = 1. If this equation holds, L becomes a 'perfect square'.	en
heal.publisher	IOP PUBLISHING LTD	en
heal.journalName	Inverse Problems	en
dc.identifier.doi	10.1088/0266-5611/13/4/013	en
dc.identifier.isi	ISI:A1997XQ94300013	en
dc.identifier.volume	13	en
dc.identifier.issue	4	en
dc.identifier.spage	1083	en
dc.identifier.epage	1092	en