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Russian Mathematical Surveys, 1975, Volume 30, Issue 1, Pages 105–175
DOI: https://doi.org/10.1070/RM1975v030n01ABEH001402
(Mi rm4138)
 

This article is cited in 53 scientific papers (total in 53 papers)

Lokal classification of non-lineral first order partial differential equations

V. V. Lychagin
References:
Received: 27.08.1973
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Original paper language: Russian
Citation: V. V. Lychagin, “Lokal classification of non-lineral first order partial differential equations”, Russian Math. Surveys, 30:1 (1975), 105–175
Citation in format AMSBIB
\Bibitem{Lyc75}
\by V.~V.~Lychagin
\paper Lokal classification of non-lineral first order partial differential equations
\jour Russian Math. Surveys
\yr 1975
\vol 30
\issue 1
\pages 105--175
\mathnet{http://mi.mathnet.ru/eng/rm4138}
\crossref{https://doi.org/10.1070/RM1975v030n01ABEH001402}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=420679}
\zmath{https://zbmath.org/?q=an:0308.35018|0315.35027}
Linking options:
  • https://www.mathnet.ru/eng/rm4138
  • https://doi.org/10.1070/RM1975v030n01ABEH001402
  • https://www.mathnet.ru/eng/rm/v30/i1/p101
  • This publication is cited in the following 53 articles:
    1. Jingbo Xu, Kangping Liu, Xiaoliang Cheng, “The Bifurcations of Completely Integrable Holonomic Systems of First-Order Differential Equations”, Axioms, 13:1 (2024), 55  crossref
    2. S. Anastassiou, “Singularities of 3D vector fields preserving the Martinet form”, Theoret. and Math. Phys., 220:1 (2024), 1061–1069  mathnet  crossref  crossref  mathscinet  adsnasa
    3. Kai Jiang, Hong Minh Truong, Nguyen Tien Zung, “Normalization of Singular Contact Forms and Primitive 1-forms”, Acta Math Vietnam, 2024  crossref
    4. Dmitry V. Tunitsky, 2024 17th International Conference on Management of Large-Scale System Development (MLSD), 2024, 1  crossref
    5. D. V. Tunitsky, “On the Initial Value Problem for Foliations”, Lobachevskii J Math, 45:10 (2024), 4700  crossref
    6. Kentaro Saji, Masatomo Takahashi, “Singularities of Singular Solutions of First-Order Differential Equations of Clairaut Type”, J Dyn Control Syst, 28:1 (2022), 19  crossref
    7. Masatomo Takahashi, Haiou Yu, “Envelopes of families of framed surfaces and singular solutions of first-order partial differential equations”, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 151:5 (2021), 1515  crossref
    8. Lizandro Sanchez Challapa, “Invariants of first order partial differential equations”, B Soc Paran Mat, 38:2 (2018), 133  crossref
    9. V. V. Basov, “Two-dimensional homogeneous cubic systems: Classification and normal forms. I”, Vestnik St.Petersb. Univ.Math., 49:2 (2016), 99  crossref
    10. V. I. Panzhenskij, N. A. Tyapin, “Automorphisms of symplectic and contact structures”, Journal of Mathematical Sciences, 217:5 (2016), 557–594  mathnet  mathnet  crossref
    11. A. V. Akhmetzyanov, A. G. Kushner, V. V. Lychagin, “Geometric theory of special modes in the distributed-parameter control systems. I”, Autom. Remote Control, 74:11 (2013), 1786–1801  mathnet  crossref  isi
    12. Boyer Ch.P., “Maximal Tori in Contactomorphism Groups”, Differ. Geom. Appl., 31:2 (2013), 190–216  crossref  isi
    13. Shyuichi Izumiya, “The theory of Legendrian unfoldings and first-order differential equations”, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 123:03 (2011), 517  crossref
    14. David Rand, “On the local stability of wave fronts defined by eikonal equations”, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 85:3-4 (2011), 195  crossref
    15. R. Alonso-Blanco, “The equations determining intermediate integrals for Monge-Ampère PDE”, Proc. Amer. Math. Soc., 132:8 (2004), 2357  crossref
    16. Masatomo Takahashi, “Bifurcations of ordinary differential equations of Clairaut type”, Journal of Differential Equations, 190:2 (2003), 579  crossref
    17. R.J. Alonso-Blanco, “A transformation of PDE systems related to the Drach theorem”, Journal of Mathematical Analysis and Applications, 288:2 (2003), 530  crossref
    18. Proc. Steklov Inst. Math., 236 (2002), 478–489  mathnet  mathscinet  zmath
    19. JIRO ADACHI, “GENERIC KNOTS IN CONTACT 3-MANIFOLDS”, Int. J. Math, 12:06 (2001), 625  crossref
    20. S. Izumiya, G. T. Kossioris, G. N. Makrakis, “Multivalued solutions to the eikonal equation in stratified media”, Quart. Appl. Math., 59:2 (2001), 365  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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