메뉴 건너뛰기




Volumn 30, Issue 3, 1998, Pages 267-273

Nonoscillation of elliptic integrals related to cubic polynomials with symmetry of order three

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0012866038     PISSN: 00246093     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024609397004244     Document Type: Article
Times cited : (19)

References (15)
  • 2
    • 0001799499 scopus 로고
    • Ten problems
    • Theory of singularities and its applications, Amer. Math. Soc., Providence, RI
    • V. I. ARNOLD, 'Ten problems', Theory of singularities and its applications, Adv. Soviet Math. 1 (Amer. Math. Soc., Providence, RI, 1990) 1-8.
    • (1990) Adv. Soviet Math. , vol.1 , pp. 1-8
    • Arnold, V.I.1
  • 3
    • 0003232144 scopus 로고
    • Singularities of differentiable maps
    • Birkhäuser, Boston
    • V. I. ARNOLD, S. M. GUSEIN-ZADE and A. N. VARCHENKO, Singularities of differentiable maps, Volumes 1 and 2, Monographs Math. (Birkhäuser, Boston, 1985 and 1988).
    • (1985) Monographs Math. , vol.1-2
    • Arnold, V.I.1    Gusein-Zade, S.M.2    Varchenko, A.N.3
  • 4
    • 0000445879 scopus 로고    scopus 로고
    • Isochronicity of plane polynomial Hamiltonian systems
    • L. GAVRILOV, 'Isochronicity of plane polynomial Hamiltonian systems', Nonlinearity 10 (1997) 433-448.
    • (1997) Nonlinearity , vol.10 , pp. 433-448
    • Gavrilov, L.1
  • 5
    • 0347464533 scopus 로고    scopus 로고
    • Petrov modules and zeros of Abelian integrals
    • to appear
    • L. GAVRILOV, 'Petrov modules and zeros of Abelian integrals', Bull. Sci. Math., to appear.
    • Bull. Sci. Math.
    • Gavrilov, L.1
  • 6
    • 0001763980 scopus 로고
    • Limit cycles of perturbations of quadratic vector fields
    • L. GAVRILOV and E. HOROZOV, 'Limit cycles of perturbations of quadratic vector fields', J. Math. Pures Appl. 72 (1993) 213-238.
    • (1993) J. Math. Pures Appl. , vol.72 , pp. 213-238
    • Gavrilov, L.1    Horozov, E.2
  • 8
    • 84963044168 scopus 로고
    • On the number of limit cycles in perturbations of quadratic Hamiltonian systems
    • E. HOROZOV and I. D. ILIEV, 'On the number of limit cycles in perturbations of quadratic Hamiltonian systems', Proc. London Math. Soc. 69 (1994) 198-224.
    • (1994) Proc. London Math. Soc. , vol.69 , pp. 198-224
    • Horozov, E.1    Iliev, I.D.2
  • 9
    • 0003137912 scopus 로고
    • w where R(z, w) is a polynomial
    • w where R(z, w) is a polynomial', Mat. Sb. 78 (1969) 360-373.
    • (1969) Mat. Sb. , vol.78 , pp. 360-373
    • Il'yashenko, Y.U.1
  • 10
    • 0001799622 scopus 로고
    • Number of zeros of complete elliptic integrals
    • G. S. PETROV, 'Number of zeros of complete elliptic integrals', Funct. Anal. Appl. 18 (1984) 72-73; 20 (1986) 37-40; 21 (1987) 87-88; 22 (1988) 37-40; 23 (1989) 88-89; 24 (1990) 45-50.
    • (1984) Funct. Anal. Appl. , vol.18 , pp. 72-73
    • Petrov, G.S.1
  • 11
    • 0001888119 scopus 로고
    • G. S. PETROV, 'Number of zeros of complete elliptic integrals', Funct. Anal. Appl. 18 (1984) 72-73; 20 (1986) 37-40; 21 (1987) 87-88; 22 (1988) 37-40; 23 (1989) 88-89; 24 (1990) 45-50.
    • (1986) Funct. Anal. Appl. , vol.20 , pp. 37-40
  • 12
    • 0001799622 scopus 로고
    • G. S. PETROV, 'Number of zeros of complete elliptic integrals', Funct. Anal. Appl. 18 (1984) 72-73; 20 (1986) 37-40; 21 (1987) 87-88; 22 (1988) 37-40; 23 (1989) 88-89; 24 (1990) 45-50.
    • (1987) Funct. Anal. Appl. , vol.21 , pp. 87-88
  • 13
    • 0001799622 scopus 로고
    • G. S. PETROV, 'Number of zeros of complete elliptic integrals', Funct. Anal. Appl. 18 (1984) 72-73; 20 (1986) 37-40; 21 (1987) 87-88; 22 (1988) 37-40; 23 (1989) 88-89; 24 (1990) 45-50.
    • (1988) Funct. Anal. Appl. , vol.22 , pp. 37-40
  • 14
    • 0001799622 scopus 로고
    • G. S. PETROV, 'Number of zeros of complete elliptic integrals', Funct. Anal. Appl. 18 (1984) 72-73; 20 (1986) 37-40; 21 (1987) 87-88; 22 (1988) 37-40; 23 (1989) 88-89; 24 (1990) 45-50.
    • (1989) Funct. Anal. Appl. , vol.23 , pp. 88-89
  • 15
    • 0001799622 scopus 로고
    • G. S. PETROV, 'Number of zeros of complete elliptic integrals', Funct. Anal. Appl. 18 (1984) 72-73; 20 (1986) 37-40; 21 (1987) 87-88; 22 (1988) 37-40; 23 (1989) 88-89; 24 (1990) 45-50.
    • (1990) Funct. Anal. Appl. , vol.24 , pp. 45-50


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.