A geometric approach 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	2014-03-01T01:15:25Z
dc.date.available	2014-03-01T01:15:25Z
dc.date.issued	2000	en
dc.identifier.issn	0377-0427	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13487
dc.subject	geometry of partial differential equations	en
dc.subject	singular solutions	en
dc.subject	(co)bordism in PDEs	en
dc.subject	integral manifolds and Cartan forms	en
dc.subject	tunnel effects in PDEs	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	VARIABLES	en
dc.subject.other	PRODUCTS	en
dc.subject.other	SUMS	en
dc.title	A geometric approach of the generalized d'Alembert equation	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0377-0427(99)00247-2	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0377-0427(99)00247-2	en
heal.language	English	en
heal.publicationDate	2000	en
heal.abstract	By using a geometric approach we prove that the set of solutions of the generalized d'Alembert equation partial derivative(n) log f/partial derivative x(1) ... partial derivative xn = 0, considered in domain of the (x(1), ... ,x(n))-space R-n, is larger than the set of the functions that can be represented in the form as f(x(1), ... ,x(n)) = f(1)(x(2), ... ,x(n)) ... f(n)(x(1), ... ,x(n-1)). (C) 2000 Elsevier Science B.V. All rights reserved. MSC. 58698; 58618.	en
heal.publisher	ELSEVIER SCIENCE BV	en
heal.journalName	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS	en
dc.identifier.doi	10.1016/S0377-0427(99)00247-2	en
dc.identifier.isi	ISI:000084633300010	en
dc.identifier.volume	113	en
dc.identifier.issue	1-2	en
dc.identifier.spage	93	en
dc.identifier.epage	122	en