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Linearization of fo...
Linearization of fourth order ordinary differential equations by point transformations
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Ibragimov, Nail H. (författare)
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Meleshko, Sergey (författare)
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Suksern, Supaporn (författare)
- IOP Publishers, 2008
- 2008
- Engelska.
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Ingår i: Journal of Physics A. - : IOP Publishers. - 1751-8113 .- 1751-8121. ; 23:41, s. 206-235
- Relaterad länk:
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https://urn.kb.se/re...
Abstract
Ämnesord
Stäng
- A general methodology for linearization of fourth order ordinary differential equations is developed using point transformations. The solution of the problem on linearization of fourth-order equations by means of point transformations is presented here. We show that all fourth-order equations that are linearizable by point transformations are contained in the class of equations which is linear in the third-order derivative. We provide the linearization test and describe the procedure for obtaining the linearizing transformations as well as the linearized equation. For ordinary differential equations of order greater than 4 we obtain necessary conditions, which separate all linearizable equations into two classes.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- linearization of differential equations
- contact transformations
- Lie group analysis
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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