Linearizability of Nonlinear Third-Order Ordinary Differential Equations by Using a Generalized Linearizing Transformation
We discuss the linearization problem of third-order ordinary differential equation under the generalized linearizing transformation. We identify the form of the linearizable equations and the conditions which allow the third-order ordinary differential equation to be transformed into the simplest li...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/486717 |
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| _version_ | 1832562969067651072 |
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| author | E. Thailert S. Suksern |
| author_facet | E. Thailert S. Suksern |
| author_sort | E. Thailert |
| collection | DOAJ |
| description | We discuss the linearization problem of third-order ordinary differential equation under the generalized linearizing transformation. We identify the form of the linearizable equations and the conditions which allow the third-order ordinary differential equation to be transformed into the simplest linear equation. We also illustrate how to construct the generalized linearizing transformation. Some examples of linearizable equation are provided to demonstrate our procedure. |
| format | Article |
| id | doaj-art-a5b92d0eaced4166abc8a38f7d245280 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-a5b92d0eaced4166abc8a38f7d2452802025-02-03T01:21:18ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/486717486717Linearizability of Nonlinear Third-Order Ordinary Differential Equations by Using a Generalized Linearizing TransformationE. Thailert0S. Suksern1Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, ThailandDepartment of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, ThailandWe discuss the linearization problem of third-order ordinary differential equation under the generalized linearizing transformation. We identify the form of the linearizable equations and the conditions which allow the third-order ordinary differential equation to be transformed into the simplest linear equation. We also illustrate how to construct the generalized linearizing transformation. Some examples of linearizable equation are provided to demonstrate our procedure.http://dx.doi.org/10.1155/2014/486717 |
| spellingShingle | E. Thailert S. Suksern Linearizability of Nonlinear Third-Order Ordinary Differential Equations by Using a Generalized Linearizing Transformation Journal of Applied Mathematics |
| title | Linearizability of Nonlinear Third-Order Ordinary Differential Equations by Using a Generalized Linearizing Transformation |
| title_full | Linearizability of Nonlinear Third-Order Ordinary Differential Equations by Using a Generalized Linearizing Transformation |
| title_fullStr | Linearizability of Nonlinear Third-Order Ordinary Differential Equations by Using a Generalized Linearizing Transformation |
| title_full_unstemmed | Linearizability of Nonlinear Third-Order Ordinary Differential Equations by Using a Generalized Linearizing Transformation |
| title_short | Linearizability of Nonlinear Third-Order Ordinary Differential Equations by Using a Generalized Linearizing Transformation |
| title_sort | linearizability of nonlinear third order ordinary differential equations by using a generalized linearizing transformation |
| url | http://dx.doi.org/10.1155/2014/486717 |
| work_keys_str_mv | AT ethailert linearizabilityofnonlinearthirdorderordinarydifferentialequationsbyusingageneralizedlinearizingtransformation AT ssuksern linearizabilityofnonlinearthirdorderordinarydifferentialequationsbyusingageneralizedlinearizingtransformation |