Journal of East China Normal University(Natural Sc

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On the asymptotic behavior of solutions of nonlinear ordinary differential equations

SERGEY Prokhozhiy[1], NI Ming-kang[2]   

  1. 1. The Faculty of Mathematics, Vitebsk State University, Vitebsk 210038, Belarus;
    2. Department of Mathematics, East China Normal University, Shanghai 200241, China
  • Received:2015-12-03 Online:2016-11-25 Published:2017-01-13

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Abstract:

In this paper we investigate the asymptotic behavior of solutions of the Cauchy problem for nonlinear ordinary differential equation v''-c1(vn)'-c2vp=0. All interrelations of parameters are considered. The first asymptotic term and in a number of cases the second asymptotic term is found. The Cauchy problem is investigated both for positive and negative values of argument.

Key words: ordinary differential equations, asymptotic behavior, nonlinear