Linearizability of Nonlinear Third-Order Ordinary Differential Equations by Using a Generalized Linearizing Transformation

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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Main Authors: E. Thailert, S. Suksern
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/486717
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spelling doaj-a5b92d0eaced4166abc8a38f7d2452802020-11-24T23:06:43ZengHindawi LimitedJournal 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
collection DOAJ
language English
format Article
sources DOAJ
author E. Thailert
S. Suksern
spellingShingle E. Thailert
S. Suksern
Linearizability of Nonlinear Third-Order Ordinary Differential Equations by Using a Generalized Linearizing Transformation
Journal of Applied Mathematics
author_facet E. Thailert
S. Suksern
author_sort E. Thailert
title 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_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_sort linearizability of nonlinear third-order ordinary differential equations by using a generalized linearizing transformation
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2014-01-01
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.
url http://dx.doi.org/10.1155/2014/486717
work_keys_str_mv AT ethailert linearizabilityofnonlinearthirdorderordinarydifferentialequationsbyusingageneralizedlinearizingtransformation
AT ssuksern linearizabilityofnonlinearthirdorderordinarydifferentialequationsbyusingageneralizedlinearizingtransformation
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