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On the absence of global periodic solutions of a Schrödinger-type nonlinear evolution equation
Sh. M. Nasibov Institute of Applied Mathematics, Baku State University, Baku, Azerbaidjan
Abstract:
We study the problem of the absence of global periodic solutions of a nonlinear Schrödinger-type evolution equation with a damped linear term. We prove that in the case where the damping factor is negative, the problem has no global periodic solutions for any initial data, and in the case of a negative damping factor, this is also true for large enough values of the initial data.
Keywords:
nonlinear evolution equation, Schrödinger equation, periodic solution, global solution, absence of periodic global solutions.
Received: 13.02.2021 Revised: 13.02.2021
Citation:
Sh. M. Nasibov, “On the absence of global periodic solutions of a Schrödinger-type nonlinear evolution equation”, TMF, 208:1 (2021), 69–73; Theoret. and Math. Phys., 208:1 (2021), 912–915
Linking options:
https://www.mathnet.ru/eng/tmf10077https://doi.org/10.4213/tmf10077 https://www.mathnet.ru/eng/tmf/v208/i1/p69
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Abstract page: | 170 | Full-text PDF : | 23 | References: | 43 | First page: | 9 |
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