S-function in inverse problems of differential geometry and management formation of forms

Authors

  • Анатолий Павлович Слесаренко The A.N. Podgorny Institute for Mechanical Engineering Problems of the NAS of Ukraine. 2/10 Dm. Pozharsky St., Kharkiv, 61046, Ukraine, Ukraine

DOI:

https://doi.org/10.15587/1729-4061.2012.3310

Keywords:

S-functions, asymptotic approximation, mathematical modeling

Abstract

Sufficiently complete system of S-functions is offers, it’s allows for the first time in world science practice to describe the real physical boundaries and the surface area of any given shape in the asymptotic approximation to any desired accuracy grade with continuously differentiable functions of ω

Author Biography

Анатолий Павлович Слесаренко, The A.N. Podgorny Institute for Mechanical Engineering Problems of the NAS of Ukraine. 2/10 Dm. Pozharsky St., Kharkiv, 61046, Ukraine

Doctor of physical-mathematical sciences, professor, leading researcher, laureate of State Prize of Ukraine

References

  1. Рвачев, В.Л. Методы алгебры-логики в математической физике [Текст] / В.Л. Рвачев. – К. : Наук. думка, 1974. – 259 с.
  2. Рвачев В.Л. Теория R-функций и некоторые ее приложения физике [Текст] / В.Л. Рвачев. - К. : Наук. думка, 1982. – 552с.
  3. Теория R-функций и актуальные проблемы прикладной математики [Текст] / Ю.Г. Стоян, В.С. Проценко, Г.П. Манько и др. - К. : Наук. думка, 1986. – 264 с.
  4. Курпа Л.В. Метод R-функций для решения линейных задач изгиба и колебаний пологих оболочек [Текст] / Л.В. Курпа. – Х.:НТУ «ХПИ», 2009. – 406 с.
  5. Слесаренко, А. S-функции в обратных задачах аналитической геометрии и моделировании тепловых процессов [Текст] / Анатолий Слесаренко // Восточно-Европейский журнал передовых технологий. – 2011. – T. 3, N 4(51). – С. 41-46. – Режим доступа : URL : http://journals.uran.ua/eejet/article/view/1575.
  6. Канторович, Л.В., Функциональный анализ в нормированных пространствах [Текст] / Л.В. Канторович, Г.П. Акилов. - М. : Физматлит, 1959. - 684 с.
  7. Ильин, В. П. Численные методы решения задач электрооптики [Текст] / В. П. Ильин – Наука, сибирское отделение, 1974. – 202 с.
  8. Бребия К. Методы граничных элементов [Текст] / К. Бребия, Ж. Теллес, Л. Вроубел. - М. : Мир, 1987. – 524 с.

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Published

2012-02-01

How to Cite

Слесаренко, А. П. (2012). S-function in inverse problems of differential geometry and management formation of forms. Eastern-European Journal of Enterprise Technologies, 1(4(55), 4–10. https://doi.org/10.15587/1729-4061.2012.3310

Issue

Vol. 1 No. 4(55) (2012): Mathematics and cybernetics - fundamental and applied aspects

Section

Mathematics and Cybernetics - applied aspects

License

Copyright (c) 2014 Анатолий Павлович Слесаренко

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