Markakis, M.P. (2010) Exact Solutions for Certain Nonlinear Autonomous ODE of the Second Order and Families of Two-Dimensional Autonomous Systems. International Journal of Differential Equations, 2010, Article ID: 436860.
https://doi.org/10.1155/2010/436860

has been cited by the following article:

• TITLE: Four New Examples of the Non-Elementary Expo-Elliptic Functions That Are Giving Solutions to Some Second-Order Nonlinear Autonomous ODEs

  AUTHORS: Magne Stensland

  KEYWORDS: Non-Elementary Functions, Second-Order Nonlinear Autonomous ODE

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.10 No.4, April 28, 2022

  ABSTRACT: In this paper, we define four new examples of the non-elementary expo-elliptic functions. This is an exponential function whose exponent is the product of a real number and the upper limit of integration in a non-elementary integral that can be arbitrary. We are using Abel’s methods, described by Armitage and Eberlein. We will study some of the second-order nonlinear ODEs, especially those that exhibit limit cycles, and systems of nonlinear ODEs that these functions are giving solutions to.