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http://dx.doi.org/10.11568/kjm.2018.26.4.675

SIMPLIFYING AND FINDING ORDINARY DIFFERENTIAL EQUATIONS IN TERMS OF THE STIRLING NUMBERS  

Qi, Feng (Institute of Mathematics, Henan Polytechnic University)
Wang, Jing-Lin (Teda No. 2 Primary School, Economic and Technological Development Zone)
Guo, Bai-Ni (School of Mathematics and Informatics, Henan Polytechnic University)
Publication Information
Korean Journal of Mathematics / v.26, no.4, 2018 , pp. 675-681 More about this Journal
Abstract
In the paper, by virtue of techniques in combinatorial analysis, the authors simplify three families of nonlinear ordinary differential equations in terms of the Stirling numbers of the first kind and establish a new family of nonlinear ordinary differential equations in terms of the Stirling numbers of the second kind.
Keywords
nonlinear ordinary differential equation; Stirling number of the first kind; Stirling number of the second kind; combinatorial analysis;
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