2021•European Journal of Pure and Applied MathematicsOpen access

Analytical Study for Certain Ordinary Differential Equations with Variable Coefficients via Gα-Transform

Patarawadee Prasertsang, Supaknaree Sattaso, Kamsing Nonlaopon, Hwajoon Kim

Abstract

Gα-transform, which is a comprehensive and essential form of Laplace-type integraltransforms, has both advantages and limitations. The purpose of this study is to consider the applicable range of Gα-transform in finding solutions of ordinary differential equations with variable coefficients. Finally, several examples are given to demonstrate the effectiveness of these results.

Open-access reader

About this research paper

What this paper is about

Why it matters

OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Mathematics, Laplace transform, Laplace transform applied to differential equations, Ordinary differential equation, Variable (mathematics), Mathematical analysis, Two-sided Laplace transform, Range (aeronautics)