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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.