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.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, 2021, Vol. 208, pp. 69-73 https://doi.org/10.4213/tmf10077.
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Nasibov, S.M. On the absence of global periodic solutions of a Schrödinger-type nonlinear evolution equation. Theor Math Phys 208, 912–915 (2021). https://doi.org/10.1134/S0040577921070059
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DOI: https://doi.org/10.1134/S0040577921070059