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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 160, Number 1, Pages 168–177
DOI: https://doi.org/10.4213/tmf6388 (Mi tmf6388) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Seeking (and finding) Lagrangians

M. C. Nucci

Università degli Studi di Perugia
Full-text PDF (415 kB) Citations (7)
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DOI: https://doi.org/10.4213/tmf6388
Abstract: It is well known that for any second-order ordinary differential equation (ODE), a Lagrangian always exists, and the key to its construction is the Jacobi last multiplier. Is it possible to find Lagrangians for first-order systems of ODEs or for higher-order ODEs? We show that the Jacobi last multiplier can also play a major role in this case.
Keywords: Lagrangian, first integral, Jacobi last multiplier.
English version:
Theoretical and Mathematical Physics, 2009, Volume 160, Issue 1, Pages 1014–1021
DOI: https://doi.org/10.1007/s11232-009-0092-5
Bibliographic databases:
Language: Russian
Citation: M. C. Nucci, “Seeking (and finding) Lagrangians”, TMF, 160:1 (2009), 168–177; Theoret. and Math. Phys., 160:1 (2009), 1014–1021
Citation in format AMSBIB
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\transl
\jour Theoret. and Math. Phys.
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\pages 1014--1021
\crossref{https://doi.org/10.1007/s11232-009-0092-5}
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  • https://doi.org/10.4213/tmf6388
  • https://www.mathnet.ru/eng/tmf/v160/i1/p168
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :953
    References:63
    First page:32
     
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