A Remark on the Generalized Second Order Toda System

被引：0
|
作者：
Rui Chang PEI
机构：
[1] SchoolofMathematicsandStatistics,TianshuiNormalUniversity
来源：
ActaMathematicaSinica | 2013年 / 29卷 / 09期
关键词：
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
In this paper, we establish a priori estimates to the generalized second order Toda system{-Δu1(x)=2R1(x)eu1-R2eu2,-Δu2(x)=R1(x)eu1+2R2eu2 in R2 , and discuss the convergence and asymptotic behavior of its solutions, where Ri(x), i=1, 2, is bounded function in R2 . Consequently, we prove that all the solutions satisfy an identity, which is somewhat a generalization of the well-known Kazdan-Warner condition.
引用
收藏
页码：1691 / 1702
页数：12
相关论文
共 50 条
  • [41] Study on generalized Toda mechanics system with loop algebra L(Dr)
    Zhu, Q
    Yang, ZY
    Shi, KH
    HIGH ENERGY PHYSICS AND NUCLEAR PHYSICS-CHINESE EDITION, 2005, 29 (01): : 19 - 22
  • [42] Generalized Calogero and Toda Models
    Chernyakov, Yu.
    Kharchev, S.
    Levin, A.
    Olshanetsky, M.
    Zotov, A.
    JETP LETTERS, 2019, 109 (02) : 136 - 143
  • [43] Generalized Toda field theories
    Brink, L
    Vasiliev, MA
    NUCLEAR PHYSICS B, 1995, 457 (1-2) : 273 - 308
  • [44] Generalized Calogero and Toda Models
    Yu. Chernyakov
    S. Kharchev
    A. Levin
    M. Olshanetsky
    A. Zotov
    JETP Letters, 2019, 109 : 136 - 143
  • [45] Generalized Toda field theories
    Brink, L
    NUCLEAR PHYSICS B, 1996, : 57 - 69
  • [46] A second type of higher order generalized geometric polynomials and higher order generalized Euler polynomials
    Corcino, Cristina B.
    Corcino, Roberto B.
    Cekim, Bayram
    Kargin, Levent
    Nkonkobe, Sithembele
    QUAESTIONES MATHEMATICAE, 2022, 45 (01) : 71 - 89
  • [47] Remark on zeros of solutions of second-order linear ordinary differential equations
    Dosoudilova, Monika
    Lomtatidze, Alexander
    GEORGIAN MATHEMATICAL JOURNAL, 2016, 23 (04) : 571 - 577
  • [48] A remark for "Oscillation theorems for second-order nonlinear partial difference equations"
    Zhang, Binggen
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 320 (01) : 489 - 491
  • [49] A Remark on the Boundedness of Solutions of Systems of Nonhomogeneous Second-Order Differential Equations
    Kh. I. Botashev
    Differential Equations, 2002, 38 : 1379 - 1384
  • [50] A remark on the boundedness of solutions of systems of nonhomogeneous second-order differential equations
    Botashev, KI
    DIFFERENTIAL EQUATIONS, 2002, 38 (10) : 1379 - 1384
12345