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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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