dc.contributor.author | Tsaousi, Christina | en |
dc.contributor.author | Sophocleous, Christodoulos | en |
dc.contributor.author | Tracinà, Rita | en |
dc.creator | Tsaousi, Christina | en |
dc.creator | Sophocleous, Christodoulos | en |
dc.creator | Tracinà, Rita | en |
dc.date.accessioned | 2019-12-02T10:38:37Z | |
dc.date.available | 2019-12-02T10:38:37Z | |
dc.date.issued | 2009 | |
dc.identifier.issn | 0022-247X | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/57711 | |
dc.description.abstract | We consider linear hyperbolic equations of the formut t = underover(∑, i = 1, n) uxi xi + underover(∑, i = 1, n) Xi (x1, ..., xn, t) uxi + T (x1, ..., xn, t) ut + U (x1, ..., xn, t) u . We derive equivalence transformations which are used to obtain differential invariants for the cases n = 2 and n = 3. Motivated by these results, we present the general results for the n-dimensional case. It appears (at least for n = 2) that this class of hyperbolic equations admits differential invariants of order one, but not of order two. We employ the derived invariants to construct interesting mappings between equivalent equations. © 2008 Elsevier Inc. All rights reserved. | en |
dc.source | Journal of Mathematical Analysis and Applications | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-53249154564&doi=10.1016%2fj.jmaa.2008.09.004&partnerID=40&md5=645b3ec87ff85c39f0250edc8c7ca01a | |
dc.subject | Equivalence transformations | en |
dc.subject | Differential invariants | en |
dc.subject | Hyperbolic equations | en |
dc.subject | Point transformations | en |
dc.title | Invariants of two- and three-dimensional hyperbolic equations | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1016/j.jmaa.2008.09.004 | |
dc.description.volume | 349 | |
dc.description.issue | 2 | |
dc.description.startingpage | 516 | |
dc.description.endingpage | 525 | |
dc.author.faculty | Σχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences | |
dc.author.department | Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics | |
dc.type.uhtype | Article | en |
dc.description.notes | <p>Cited By :4</p> | en |
dc.source.abbreviation | J.Math.Anal.Appl. | en |
dc.contributor.orcid | Sophocleous, Christodoulos [0000-0001-8021-3548] | |
dc.gnosis.orcid | 0000-0001-8021-3548 | |