메뉴 건너뛰기




Volumn 308, Issue 1, 2005, Pages 266-289

Linearization of third-order ordinary differential equations by point and contact transformations

Author keywords

Candidates for linearization; Contact transformations; Linearization test; Nonlinear equations; Relative invariants

Indexed keywords


EID: 19044382569     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2005.01.025     Document Type: Article
Times cited : (86)

References (11)
  • 1
    • 0038244233 scopus 로고
    • Sur la géométrie d'une équation différentielle du troisième ordre
    • S.S. Chern Sur la géométrie d'une équation différentielle du troisième ordre C. R. Acad. Sci. Paris 1937 1227
    • (1937) C. R. Acad. Sci. Paris , pp. 1227
    • Chern, S.S.1
  • 2
    • 0009885317 scopus 로고
    • The geometry of the differential equation y‴=F(x,y,y′,y″)
    • S.S. Chern The geometry of the differential equation y ‴ = F(x, y, y′, y″) Sci. Rep. Nat. Tsing Hua Univ. 4 1940 97-111
    • (1940) Sci. Rep. Nat. Tsing Hua Univ. , vol.4 , pp. 97-111
    • Chern, S.S.1
  • 3
    • 0642331290 scopus 로고
    • Reprinted Springer-Verlag Berlin
    • Reprinted in S.-S. Chern Selected Papers 1978 Springer-Verlag Berlin
    • (1978) Selected Papers
    • Chern, S.-S.1
  • 4
    • 19044376663 scopus 로고    scopus 로고
    • The linearization of third order ODEs
    • preprint
    • G. Grebot, The linearization of third order ODEs, preprint, 1996
    • (1996)
    • Grebot, G.1
  • 5
    • 0031062032 scopus 로고    scopus 로고
    • The characterization of third order ordinary differential equations admitting a transitive fiber-preserving point symmetry group
    • G. Grebot The characterization of third order ordinary differential equations admitting a transitive fiber-preserving point symmetry group J. Math. Anal. Appl. 206 1997 364-388
    • (1997) J. Math. Anal. Appl. , vol.206 , pp. 364-388
    • Grebot, G.1
  • 7
    • 19044381314 scopus 로고    scopus 로고
    • Linearization of third-order ordinary differential equations by point transformations
    • N.H. Ibragimov S.V. Meleshko Linearization of third-order ordinary differential equations by point transformations Archives of ALGA 1 2004 71-93
    • (2004) Archives of ALGA , vol.1 , pp. 71-93
    • Ibragimov, N.H.1    Meleshko, S.V.2
  • 8
    • 8744308969 scopus 로고
    • Geometrie der Berührungstransformationen
    • Leipzig: Teubner (Dargestellt von Sophus Lie und Georg Scheffers)
    • S. Lie Geometrie der Berührungstransformationen 1896 Teubner Leipzig (Dargestellt von Sophus Lie und Georg Scheffers)
    • (1896)
    • Lie, S.1
  • 9
    • 0038053118 scopus 로고    scopus 로고
    • La géométrie de l'équation y‴=f(x,y,y′,y″)
    • S. Neut M. Petitot La géométrie de l'équation y ‴ = f (x, y, y′, y″) C. R. Acad. Sci. Paris Sér. I 335 2002 515-518
    • (2002) C. R. Acad. Sci. Paris Sér. I , vol.335 , pp. 515-518
    • Neut, S.1    Petitot, M.2
  • 11
    • 0036539294 scopus 로고    scopus 로고
    • Contact symmetry algebras of scalar ordinary differential equations
    • C. Wafo Soh F.M. Mahomed C. Qu Contact symmetry algebras of scalar ordinary differential equations Nonlinear Dynam. 28 2002 213-230
    • (2002) Nonlinear Dynam. , vol.28 , pp. 213-230
    • Wafo Soh, C.1    Mahomed, F.M.2    Qu, C.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.