Analytic Properties of Solutions of a Class of Third-Order Equations

被引:0
|
作者
Andreeva, T. K. [1 ]
Martynov, I. P. [1 ]
Pron'ko, V. A. [1 ]
机构
[1] Grodno State Univ, Grodno, BELARUS
关键词
ORDINARY DIFFERENTIAL-EQUATIONS; EVOLUTION-EQUATIONS; CONNECTION;
D O I
10.1134/S0012266111090011
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We derive necessary and sufficient conditions for the general solution of an autonomous third-order ordinary differential equation of certain form to be meromorphic. We obtain equations with a movable singular line all of whose points are essentially singular points of the general solution.
引用
收藏
页码:1231 / 1236
页数:6
相关论文
共 50 条
  • [21] LIMIT CYCLES FOR A CLASS OF THIRD-ORDER DIFFERENTIAL EQUATIONS
    Llibre, Jaume
    Yu, Jiang
    Zhang, Xiang
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2010, 40 (02) : 581 - 594
  • [22] On the Solvability of One Class of Third-Order Differential Equations
    Bilalov, B. T.
    Ismailov, M. I.
    Kasumov, Z. A.
    UKRAINIAN MATHEMATICAL JOURNAL, 2021, 73 (03) : 367 - 383
  • [23] On first integrals of a class of third-order differential equations
    N. S. Berezkina
    I. P. Martynov
    V. A. Pron’ko
    Differential Equations, 2009, 45 : 1536 - 1538
  • [24] On the Solvability of One Class of Third-Order Differential Equations
    B. T. Bilalov
    M. I. Ismailov
    Z. A. Kasumov
    Ukrainian Mathematical Journal, 2021, 73 : 367 - 383
  • [25] On first integrals of a class of third-order differential equations
    Berezkina, N. S.
    Martynov, I. P.
    Pron'ko, V. A.
    DIFFERENTIAL EQUATIONS, 2009, 45 (10) : 1536 - 1538
  • [26] On the existence and coercive estimates of solutions to the Dirichlet problem for a class of third-order differential equations
    Suleimbekova, A. O.
    Dulaty, M. Kh.
    BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2023, 114 (02): : 178 - 185
  • [27] Periodic solutions of a class of third-order functional differential equations with iterative source terms
    Bouakkaz, Ahleme
    Ardjouni, Abdelouaheb
    Khemis, Rabah
    Djoudi, Ahcene
    BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2020, 26 (02): : 443 - 458
  • [28] Periodic solutions of a class of third-order functional differential equations with iterative source terms
    Ahlème Bouakkaz
    Abdelouaheb Ardjouni
    Rabah Khemis
    Ahcene Djoudi
    Boletín de la Sociedad Matemática Mexicana, 2020, 26 : 443 - 458
  • [29] On Properties of Third-Order Functional Differential Equations
    Baculikova, Blanka
    Dzurina, Jozef
    DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH APPLICATI ONS, 2013, 47 : 255 - 264
  • [30] Properties of third-order nonlinear differential equations
    Baculikova, Blanka
    Dzurina, Jozef
    ADVANCES IN DIFFERENCE EQUATIONS, 2012,