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This article is cited in 1 scientific paper (total in 1 paper)
MATHEMATICS
Absence of global periodic solutions for a Schrödinger-type nonlinear evolution equation
Sh. M. Nasibov Institute of Applied Mathematics, Baku State University, Baku, Azerbaijan
Abstract:
The problem of the absence of global periodic solutions for a Schrödinger-type nonlinear evolution equation with a linear damping term is investigated. It is proved that when the damping coefficient is nonnegative, the problem does not have global periodic solutions for any initial data, while when it is negative, the same is valid for “sufficiently large values” of the initial data.
Keywords:
nonlinear evolution equation, Schrödinger equation, periodic solution, global solution, absence of periodic global solutions.
Citation:
Sh. M. Nasibov, “Absence of global periodic solutions for a Schrödinger-type nonlinear evolution equation”, Dokl. RAN. Math. Inf. Proc. Upr., 494 (2020), 53–55; Dokl. Math., 102:2 (2020), 401–402
Linking options:
https://www.mathnet.ru/eng/danma117 https://www.mathnet.ru/eng/danma/v494/p53
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Abstract page: | 73 | Full-text PDF : | 22 | References: | 13 |
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