Nonlinear fourth-order differential equations with solutions in the form of transcendents

被引:0
|
作者
N. A. Kudryashov
机构
[1] Moscow Engineering Physics Institute,
来源
关键词
General Solution; Integration Constant; Special Solution; Transcendental Function; Nonlinear ODEs;
D O I
暂无
中图分类号
学科分类号
摘要
We present two hierarchies of ordinary differential equations and give the relations between these hierarchies. We find rational and special solutions of one hierarchy. Solutions of two differential equations are shown to be essentially transcendental functions with respect to the integration constants.
引用
收藏
页码:58 / 71
页数:13
相关论文
共 50 条
  • [21] PROPERTIES OF SOLUTIONS OF FOURTH-ORDER NONLINEAR EVOLUTION EQUATIONS
    Duan, Ning
    Zhao, Xiaopeng
    Liu, Bo
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,
  • [22] Almost periodic solutions for a class of fourth-order nonlinear differential equations with a deviating argument
    Xiong, Wanmin
    Yue, Guangxue
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 60 (05) : 1184 - 1190
  • [23] MULTIPLICITY OF CONCAVE AND MONOTONE POSITIVE SOLUTIONS FOR NONLINEAR FOURTH-ORDER ORDINARY DIFFERENTIAL EQUATIONS
    Shen Chunfang
    FIXED POINT THEORY, 2013, 14 (02): : 345 - 358
  • [24] Positive Solutions of Boundary Value Problems for System of Nonlinear Fourth-Order Differential Equations
    Shengli Xie
    Jiang Zhu
    Boundary Value Problems, 2007
  • [25] BOUNDEDNESS AND SQUARE INTEGRABILITY OF SOLUTIONS OF NONLINEAR FOURTH-ORDER DIFFERENTIAL EQUATIONS WITH BOUNDED DELAY
    Korkmaz, Erdal
    Tunc, Cemil
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
  • [26] Positive solutions of boundary value problems for system of nonlinear fourth-order differential equations
    Xie, Shengli
    Zhu, Jiang
    BOUNDARY VALUE PROBLEMS, 2007, 2007 (1)
  • [27] Fourth-Order Differential Equations: Asymptotic and Oscillatory Behaviors of Solutions
    Almutairi, Alanoud
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2025, 18 (01):
  • [28] Existence of solutions to fourth-order differential equations with deviating arguments
    Naceri, Mostepha
    Agarwal, Ravi P.
    Cetin, Erbil
    Amir, El Haffaf
    BOUNDARY VALUE PROBLEMS, 2015,
  • [29] Periodic solutions for fourth-order nonlinear functional difference equations
    Liu, Xia
    Zhang, Yuanbiao
    Shi, Haiping
    Deng, Xiaoqing
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (01) : 1 - 10
  • [30] Asymptotic Properties of Solutions of Fourth-Order Delay Differential Equations
    Cesarano, Clemente
    Pinelas, Sandra
    Al-Showaikh, Faisal
    Bazighifan, Omar
    SYMMETRY-BASEL, 2019, 11 (05):