Geodesic
Absence of global periodic solutions for a Schrödinger-type nonlinear evolution equation
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 494 (2020), pp. 53-55

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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, absence of periodic global solutions.
Mots-clés : global solution 
Sh. M. Nasibov. Absence of global periodic solutions for a Schrödinger-type nonlinear evolution equation. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 494 (2020), pp. 53-55. http://geodesic.mathdoc.fr/item/DANMA_2020_494_a11/
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     author = {Sh. M. Nasibov},
     title = {Absence of global periodic solutions for a {Schr\"odinger-type} nonlinear evolution equation},
     journal = {Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleni\^a},
     pages = {53--55},
     year = {2020},
     volume = {494},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DANMA_2020_494_a11/}
}
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