A Variation of the Carleman Embedding Method for Second Order Systems.
The Carleman Embedding is a method that allows us to embed a finite dimensional system of nonlinear differential equations into a system of infinite dimensional linear differential equations. This technique works well when dealing with first-order nonlinear differential equations. However, for highe...
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| Format: | Others |
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Digital Commons @ East Tennessee State University
2009
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| Online Access: | https://dc.etsu.edu/etd/1877 https://dc.etsu.edu/cgi/viewcontent.cgi?article=3229&context=etd |
| Summary: | The Carleman Embedding is a method that allows us to embed a finite dimensional system of nonlinear differential equations into a system of infinite dimensional linear differential equations. This technique works well when dealing with first-order nonlinear differential equations. However, for higher order nonlinear ordinary differential equations, it is difficult to use the Carleman Embedding method. This project will examine the Carleman Embedding and a variation of the method which is very convenient in applying to second order systems of nonlinear equations. |
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