On the Linearization of Second-Order Differential and Difference Equations
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On the Linearization of Second-Order Differential and Difference Equations
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| Creator |
Dorodnitsyn, V.
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| Description |
This article complements recent results of the papers [J. Math. Phys. 41 (2000), 480; 45 (2004), 336] on the symmetry classification of second-order ordinary difference equations and meshes, as well as the Lagrangian formalism and Noether-type integration technique. It turned out that there exist nonlinear superposition principles for solutions of special second-order ordinary difference equations which possess Lie group symmetries. This superposition springs from the linearization of second-order ordinary difference equations by means of non-point transformations which act simultaneously on equations and meshes. These transformations become some sort of contact transformations in the continuous limit.
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| Date |
2019-02-07T13:18:42Z
2019-02-07T13:18:42Z 2006 |
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| Type |
Article
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| Identifier |
On the Linearization of Second-Order Differential and Difference Equations / V. Dorodnitsyn // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 11 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 34C14; 34C20; 39A05; 65L12; 70H33 http://dspace.nbuv.gov.ua/handle/123456789/146102 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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