On the set of solutions of the generalized d'Alembert equation [Sur l'ensemble des solutions de l'equation de d'Alembert généralisée]

Prastaro, A; Rassias, TM

dc.contributor.author	Prastaro, A	en
dc.contributor.author	Rassias, TM	en
dc.date.accessioned	2014-03-01T01:48:41Z
dc.date.available	2014-03-01T01:48:41Z
dc.date.issued	1999	en
dc.identifier.issn	07644442	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/25557
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0033095588&partnerID=40&md5=944619db59e37dd7bf45687212f6c937	en
dc.title	On the set of solutions of the generalized d'Alembert equation [Sur l'ensemble des solutions de l'equation de d'Alembert généralisée]	en
heal.type	journalArticle	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 ∂n log f/∂xn ⋯∂x1 = 0, (n-d'Alembert equation), (n ≥ 2), considered in domains of the (x1 , . . . , xn ) ∈ Rn, is larger than the set of all functions f that can be represented in the form (spadesuit sign) f(x1 , . . . , xn) = f1 (x2 , x3 , . . . , xn) ⋯ fn (x1 , x2 , . . ., xn-1). 2) In the set of solutions Sol(d'A)n of the n-d'Alembert equation, (d'A)n ⊂ JDn (Rn, R), there are also some manifolds that have a change of sectional topology (tunneling effect). © Académie des Sciences/Elsevier, Paris.	en
heal.journalName	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics	en
dc.identifier.volume	328	en
dc.identifier.issue	5	en
dc.identifier.spage	389	en
dc.identifier.epage	394	en