Simplification of Coefficients in Two Families of Nonlinear Ordinary Differential Equations

Feng Qi^{1, 2,} and Bai-Ni Guo³

¹Institute of Mathematics, Henan Polytechnic University, Jiaozuo, Henan, 454010, China

²College of Mathematics, Inner Mongolia University for Nationalities, Tongliao, Inner Mongolia, 028043, China;Department of Mathematics, College of Science, Tianjin Polytechnic University, Tianjin, 300387, China

³School of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo, Henan, 454010, China

Cite this paper:
Feng Qi and Bai-Ni Guo. Simplification of Coefficients in Two Families of Nonlinear Ordinary Differential Equations. Turkish Journal of Analysis and Number Theory. 2018; 6(4):116-119. doi: 10.12691/tjant-6-4-2

Abstract

In the paper, in terms of the Stirling numbers of the first and second kinds, by three approaches, the author derives simple, meaningful, and significant forms for coefficients in two families of nonlinear ordinary differential equations.

Keywords:
coefficient nonlinear ordinary differential equation Stirling number derivative polynomial

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