On small variation formulas
One of the main methods for solving extremal problems is the variational method. Variational formulas are the main tool of the variational method. Some variational formulas, the so-called small variational formulas, were obtained by means of a family of mappings from the unit disk onto domains lying in the unit disk. There is a theorem in the paper that gives a rather general approach to obtaining small variational formulas.
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Keywords
голоморфное однолистное отображение, вариационная формула, параметры в интеграле Кристоффеля - Шварца, метод Куфарева, holomorphic univalent mapping, variational formula, parameters in the Christoffel-Schwarz integral, Kufarev methodAuthors
| Name | Organization | |
| Borisova Yana Vladimirovna | Tomsk State University | borisova_yana@list.ru |
| Kolesnikov Ivan Alexandrovich | Tomsk State University | ia.kolesnikov@mail.ru |
| Kopanev Sergey Anatolievich | Tomsk State University | copanev_d@mail.ru |
References
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On small variation formulas | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2017. № 49. DOI: 10.17223/19988621/49/1
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