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.

Authors
Ashyralyev A. 1, 2, 3 , Abbas T.4
Conference proceedings
AIP Conference Proceedings
Language
English
Status
Published
DOI
10.1063/5.0042318
Number
060008
Volume
2334
Year
2021
Organizations
  • 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
Keywords
Difference schemes; Involutory equation; Schrödinger equation; Stability
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