Using $G_{\alpha}$-transform to Study Higher-order Differential Equations with Polynomial Coefficients

Authors

  • Supaknaree Sattaso Faculty of Science and Engineering, Kasetsart University, Chalermphrakiat Sakon Nakhon Province Campus, Sakon Nakhon, Thailand
  • Patarawadee Prasertsang Department of General Science, Faculty of Science and Engineering, Kasetsart University, Chalermprakiat Sakon Nakhon Province Campus, Sakon Nakhon 47000, Thailand
  • Torsak Prasertsang Faculty of Science and Engineering, Kasetsart University, Chalermphrakiat Sakon Nakhon Province Campus, Sakon Nakhon, Thailand

DOI:

https://doi.org/10.29020/nybg.ejpam.v16i3.4792

Keywords:

$G_{\alpha}$-transform, Higher-order differential equation with polynomial coefficients, Laplace-type integral transforms

Abstract

In this study, solutions of higher-order differential equations with polynomial coefficients(HODEPCs) were obtained by applying the $G_{\alpha}$-transform. Based on some characterizations, the solutions of HODEPCs were investigated. With the general solution of the HODEPCs, the curves of the general solution can be shown in several examples.

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Published

2023-07-30

Issue

Vol. 16 No. 3: (July 2023)

Section

Nonlinear Analysis

License

Copyright (c) 2023 European Journal of Pure and Applied Mathematics

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This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

Using $G_{\alpha}$-transform to Study Higher-order Differential Equations with Polynomial Coefficients. (2023). European Journal of Pure and Applied Mathematics, 16(3), 1389-1405. https://doi.org/10.29020/nybg.ejpam.v16i3.4792

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