Asymptotic analysis of positive solutions of a class of third order nonlinear differential equations in the framework of regular variation

作者：Jaros Jaroslav; Takasi Kusano; Tanigawa Tomoyuki^*

来源：Mathematische Nachrichten, 2013, 286(2-3): 205-223.

DOI：10.1002/mana.201100296

• Third order nonlinear differential equation
• positive solutions
• asymptotic behavior
• regularly varying functions

This paper is devoted to the asymptotic analysis of the third order sublinear differential equation %26lt;br%26gt;x %26apos;%26apos;%26apos; + q(t)vertical bar x vertical bar ysgn x = 0, q(t) %26gt; 0, 0 %26lt; y %26lt; 1, %26lt;br%26gt;in the framework of regular variation. It is shown that in case q(t) is nearly regularly varying accurate information can be acquired about the existence of possible positive solutions of (A) and their asymptotic behavior as t -%26gt; infinity

• 出版日期2013-2