On the set of solutions of the generalized d'Alembert equation

Prastaro, A; Rassias, TM

dc.contributor.author	Prastaro, A	en
dc.contributor.author	Rassias, TM	en
dc.date.accessioned	2014-03-01T01:14:57Z
dc.date.available	2014-03-01T01:14:57Z
dc.date.issued	1999	en
dc.identifier.issn	0764-4442	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13279
dc.subject.classification	Mathematics	en
dc.title	On the set of solutions of the generalized d'Alembert equation	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0764-4442(99)80177-3	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0764-4442(99)80177-3	en
heal.language	English	en
heal.publicationDate	1999	en
heal.abstract	The following results are been obtained: 1) The set Sol(d'A)(n) of all solutions of the equation partial derivative(n) log f/partial derivative x(n) ... partial derivative x(1) = 0, (n-d'Alembert equation), (n greater than or equal to 2), considered in domains of the (x(1),...,x(n)) is an element of R-n, is larger than the set of all functions f that can be represented in the form (sic), f(x(1),...,x(n)) = f(1)(x(2);x(3),...,x(n))... f(n) (x(1),x(2),..., x(n-1)). 2) In the set of solutions Sol(d'A)(n) of the n-d'Alembert equation, (d'A)(n) subset of JD(n)(R-n,R), there are also some manifolds that have a change of sectional topology (tunneling effect). (C) Academie des Sciences/Elsevier. Paris.	en
heal.publisher	EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER	en
heal.journalName	COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE	en
dc.identifier.doi	10.1016/S0764-4442(99)80177-3	en
dc.identifier.isi	ISI:000078914200005	en
dc.identifier.volume	328	en
dc.identifier.issue	5	en
dc.identifier.spage	389	en
dc.identifier.epage	394	en