{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T14:23:46Z","timestamp":1775053426663,"version":"3.50.1"},"publisher-location":"Berlin, Heidelberg","reference-count":8,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"value":"9783540751861","type":"print"},{"value":"9783540751878","type":"electronic"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"DOI":"10.1007\/978-3-540-75187-8_28","type":"book-chapter","created":{"date-parts":[[2007,9,1]],"date-time":"2007-09-01T15:13:38Z","timestamp":1188659618000},"page":"360-369","source":"Crossref","is-referenced-by-count":9,"title":["A Full System of Invariants for Third-Order Linear Partial Differential Operators in General Form"],"prefix":"10.1007","author":[{"given":"Ekaterina","family":"Shemyakova","sequence":"first","affiliation":[]},{"given":"Franz","family":"Winkler","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"28_CR1","doi-asserted-by":"publisher","first-page":"265","DOI":"10.1215\/S0012-7094-97-08711-1","volume":"87","author":"I. Anderson","year":"1997","unstructured":"Anderson, I., Kamran, N.: The Variational Bicomplex for Hyperbolic Second-Order Scalar Partial Differential Equations in the Plane. Duke J. Math.\u00a087, 265\u2013319 (1997)","journal-title":"Duke J. Math."},{"key":"28_CR2","unstructured":"Darboux, G.: Le\u00e7ons sur la th\u00e9orie g\u00e9n\u00e9rale des surfaces et les applications g\u00e9om\u00e9triques du calcul infinit\u00e9simal, vol.\u00a02. Gauthier-Villars (1889)"},{"key":"28_CR3","doi-asserted-by":"crossref","unstructured":"Ibragimov, N.: Invariants of hyperbolic equations: Solution of the Laplace problem. Prikladnaya Mekhanika i Tekhnicheskaya Fizika 45(2), 11\u201321 (2004), English Translation in Journal of Applied Mechanics and Technical Physics 45(2), 158166 (2004)","DOI":"10.1023\/B:JAMT.0000017577.36177.a2"},{"key":"28_CR4","unstructured":"Kartashova, E.: Hierarchy of general invariants for bivariate LPDOs. J. Theoretical and Mathematical Physics, 1\u20138 (2006)"},{"key":"28_CR5","doi-asserted-by":"crossref","unstructured":"Morozov, O.: Contact Equivalence Problem for Linear Hyperbolic Equations. In: arxiv.org\/preprintmath-ph\/0406004","DOI":"10.1007\/s10958-006-0138-2"},{"key":"28_CR6","series-title":"Lecture Notes in Artificial Intelligence","doi-asserted-by":"publisher","first-page":"973","DOI":"10.1007\/11856290_11","volume-title":"Artificial Intelligence and Symbolic Computation","author":"E. Shemyakova","year":"2006","unstructured":"Shemyakova, E.: A Full System of Invariants for Third-Order Linear Partial Differential Operators. In: Calmet, J., Ida, T., Wang, D. (eds.) AISC 2006. LNCS (LNAI), vol.\u00a04120, pp. 973\u2013978. Springer, Heidelberg (2006)"},{"key":"28_CR7","doi-asserted-by":"crossref","unstructured":"Shemyakova, E., Winkler, F.: Obstacles to the Factorization of Linear Partial Differential Operators into Several Factors. Programming and Computer Software\u00a02 (accepted, 2007)","DOI":"10.1134\/S036176880702003X"},{"key":"28_CR8","doi-asserted-by":"crossref","unstructured":"Tsarev, S.P.: Generalized Laplace Transformations and Integration of Hyperbolic Systems of Linear Partial Differential Equations. In: Proc. ISSAC 2005 (2005)","DOI":"10.1145\/1073884.1073929"}],"container-title":["Lecture Notes in Computer Science","Computer Algebra in Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-540-75187-8_28.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,27]],"date-time":"2021-04-27T10:54:47Z","timestamp":1619520887000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-540-75187-8_28"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[null]]},"ISBN":["9783540751861","9783540751878"],"references-count":8,"URL":"https:\/\/doi.org\/10.1007\/978-3-540-75187-8_28","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[]}}