Geodesic
On the~absence of global periodic solutions of a~ Schr\"{o}dinger-type nonlinear evolution equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 208 (2021) no. 1, pp. 69-73

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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, absence of periodic global solutions.
Mots-clés : global solution 
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     author = {Sh. M. Nasibov},
     title = {On the~absence of global periodic solutions of a~ {Schr\"{o}dinger-type} nonlinear evolution equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {69--73},
     publisher = {mathdoc},
     volume = {208},
     number = {1},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2021_208_1_a4/}
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Sh. M. Nasibov. On the~absence of global periodic solutions of a~ Schr\"{o}dinger-type nonlinear evolution equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 208 (2021) no. 1, pp. 69-73. http://geodesic.mathdoc.fr/item/TMF_2021_208_1_a4/