On the Boundedness of the Schrödinger type Differential Equation with Time Involution

In the present paper, the initial value problem for the Schrödinger type involutory partial differential equation is studied. Applying Green's function of space operator, we get formula for solution of this problem. In applications, the theorem on stability of this problem is established. Furthermore, this formula is applied to the existence and uniqueness of bounded solution of nonlinear problem with involution. © 2021 American Institute of Physics Inc.. All rights reserved.

Авторы
Ashyralyev A. 1, 2, 3 , Abbas T.4
Сборник материалов конференции
Язык
Английский
Статус
Опубликовано
Номер
060008
Том
2334
Год
2021
Организации
  • 1 Department of Mathematics, Near East University, Nicosia, Mersin 10, Turkey
  • 2 Peoples' Friendship University of Russia (RUDN University), Ul Miklukho Maklaya 6, Moscow, 117198, Russian Federation
  • 3 Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
  • 4 Department of Mathematics, College of Education, Iraq
Ключевые слова
Difference schemes; Involutory equation; Schrödinger equation; Stability
Дата создания
20.04.2021
Дата изменения
20.04.2021
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/72063/
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