Разрешимость и построение решений в классе распределений дифференциально-операторных уравнений с отклоняющимся аргументом; Перспективы развития фундаментальных наук; Т. 3 : Математика
| Parent link: | Перспективы развития фундаментальных наук=Prospects of Fundamental Sciences Development: сборник научных трудов XV Международной конференции студентов, аспирантов и молодых ученых, г. Томск, 24-27 апреля 2018 г./ Национальный исследовательский Томский политехнический университет (ТПУ) ; под ред. И. А. Курзиной, Г. А. Вороновой.— , 2018 Т. 3 : Математика.— 2018.— [С. 102-104] |
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| Özet: | Заглавие с экрана The unique solvability of the initial value problem with the initial function for a differential operator equation with a perturbed argument is studied. Researches are carried out by methods of the theory of the Sobolev-Schwartz generalized functions with values in Banach space. The concept of fundamental solution of differential operator with delay is used. This approach is used to prove the existence and uniqueness of the solution of the considered problem in the class of distributions with a left-bounded support and to construct its generalized solution. We have obtained conditions under which generalized solution are equal to the classical solution of the considered problem. |
| Dil: | Rusça |
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2018
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| Online Erişim: | http://earchive.tpu.ru/handle/11683/50860 |
| Materyal Türü: | Elektronik Kitap Bölümü |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=627628 |