On the asymptotic behavior of solutions of nonlinear ordinary differential equations

  • SERGEY Prokhozhiy ,
  • NI Ming-kang
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  • 1. The Faculty of Mathematics, Vitebsk State University, Vitebsk 210038, Belarus;
    2. Department of Mathematics, East China Normal University, Shanghai 200241, China

Received date: 2015-12-03

  Online published: 2017-01-13

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.

Cite this article

SERGEY Prokhozhiy , NI Ming-kang . On the asymptotic behavior of solutions of nonlinear ordinary differential equations[J]. Journal of East China Normal University(Natural Science), 2016 , 2016(6) : 94 -101 . DOI: 10.3969/j.issn.1000-5641.2016.06.010

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