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Publication
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| Title of Article |
Linearization of Fourth-order Ordinary Differential Equations by Generalized Sundman Transformations |
| Date of Acceptance |
19 September 2017 |
| Journal |
| Title of Journal |
วารสารวิทยาศาสตร์ มข. |
| Standard |
TCI |
| Institute of Journal |
คณะวิทยาศาสตร์ มหาวิทยาลัยขอนแก่น |
| ISBN/ISSN |
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| Volume |
46 |
| Issue |
1 |
| Month |
มกราคม-มีนาคม |
| Year of Publication |
2017 |
| Page |
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| Abstract |
The linearization problem of a fourth-order ordinary differential equations by the generalized Sundman transformation, i.e.,
u=F(x,y),
dt=G(x,y)dx,
is considered in the paper. Necessary and sufficient conditions for fourth-order ordinary differential equations to be linearizable into the general form of a linear fourth-order ordinary differential equation are obtained. We also give an example which apply our procedure for a nonlinear fourth-order partial differential equation. Here, a complete solution is given for the case F_x=0. |
| Keyword |
Linearization problem, Generalized Sundman transformation, Fourth-order ordinary differential equations |
| Author |
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| Reviewing Status |
มีผู้ประเมินอิสระ |
| Status |
ได้รับการตอบรับให้ตีพิมพ์ |
| Level of Publication |
ชาติ |
| citation |
true |
| Part of thesis |
true |
| Attach file |
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| Citation |
0
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Journal Publication
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