INTEGRALS OF THE EMDEN-FOWLER EQUATIONS

被引:5
|
作者
RANGANATHAN, PV
机构
[1] Department of Mathematics, Ramakrishna Mission Vivekananda College, Madras
关键词
D O I
10.1016/0020-7462(92)90063-D
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Considering a generalized form of the Emden-Fowler equation and using a direct and simple method, we find sufficient conditions of integrability which enable us to obtain its first integrals as well as the solutions. As special cases, we discuss the integrals of the Emden-Fowler equation x + (k1/t)x = Kt(k2)x(n). Illustrative examples are given.
引用
收藏
页码:583 / 590
页数:8
相关论文
共 50 条
  • [1] 1ST INTEGRALS FOR EQUATIONS WITH NONLINEARITIES OF THE EMDEN-FOWLER TYPE
    TRENCH, WF
    BAHAR, LY
    [J]. INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1987, 22 (03) : 217 - 226
  • [2] Generalized Emden-Fowler equations in noncentral curl forces and first integrals
    Guha, Partha
    [J]. ACTA MECHANICA, 2020, 231 (02) : 815 - 825
  • [3] ON RECTIFIABLE OSCILLATION OF EMDEN-FOWLER EQUATIONS
    Wong, James S. W.
    [J]. MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2007, 42 : 127 - 144
  • [4] On the nonoscillation of sublinear Emden-Fowler equations
    Kwong, Man Kam
    Wong, James S. W.
    [J]. DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 49 - 60
  • [5] On some Emden-Fowler type Equations
    Duzgun, Fatma Gamze
    Soltanov, Kamal N.
    [J]. NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2, 2009, 1168 : 256 - 259
  • [6] A nonoscillation theorem for Emden-Fowler equations
    Wong, JSW
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 274 (02) : 746 - 754
  • [7] An efficient method for solving Emden-Fowler equations
    Shang, Xufeng
    Wu, Peng
    Shao, Xingping
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2009, 346 (09): : 889 - 897
  • [8] A nonoscillation theorem for sublinear Emden-Fowler equations
    Kwong, MK
    Wong, JSW
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 64 (07) : 1641 - 1646
  • [9] GENERALIZED EMDEN-FOWLER EQUATIONS OF SUBCRITICAL GROWTH
    ROTHER, W
    [J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1993, 54 : 254 - 262
  • [10] On the generalized Emden-Fowler and isothermal spheres equations
    Kycia, Radoslaw Antoni
    Filipuk, Galina
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2015, 265 : 1003 - 1010