Korean J. Math. Vol. 26 No. 4 (2018) pp.675-681
DOI: https://doi.org/10.11568/kjm.2018.26.4.675

Simplifying and finding ordinary differential equations in terms of the stirling numbers

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Published: Dec 30, 2018
Keywords:
nonlinear ordinary differential equation, Stirling number of the first kind, Stirling number of the second kind, combinatorial analysis
Mathematics Subject Classification:
11B37, 34A05, 34A34

Main Article Content

Feng Qi
Institute of Mathematics, Henan Polytechnic University Jiaozuo 454010, Henan, China
Jing-Lin Wang
Teda No. 2 Primary School Economic and Technological Development Zone Tianjin 300457, China
Bai-Ni Guo
School of Mathematics and Informatics Henan Polytechnic University Jiaozuo 454010, Henan, China

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.


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References

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