najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2015-6-6-757-761najo-885Research ArticlePAPERS, PRESENTED AT THE CONFERENCEPAPERS, PRESENTED AT THE CONFERENCELinearized KdV equation on a metric graphSobirovZ. A.

Vuzgorodok, 100047 Tashkent 

100000 Tashkent 

sobirovzar@gmail.comAkhmedovM. I.

100000 Tashkent 

KarpovaO. V.

 Vuzgorodok, 100047 Tashkent 

ola_july@mail.ruJabbarovaB.

Urganch

Faculty of Mechanics and Mathematics, National University of Uzbekistan ; Applied Mathematics Department of Tashkent Financial InstituteUzbekistanApplied Mathematics Department of Tashkent Financial InstituteUzbekistanFaculty of Physics, National University of Uzbekistan ; Turin Polytechnic University in TashkentUzbekistanUrganch State UniversityUzbekistan20151508202566757761Copyright © Sobirov Z.A., Akhmedov M.I., Karpova O.V., Jabbarova B., 20252025Sobirov Z.A., Akhmedov M.I., Karpova O.V., Jabbarova B.Sobirov Z.A., Akhmedov M.I., Karpova O.V., Jabbarova B.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/885

We address a linearized KdV equation on metric star graphs with one incoming finite bond and two outgoing semi-infinite bonds. Using the theory of potentials, we reduce the problem to systems of linear integral equations and show that they are uniquely solvable under conditions of the uniqueness theorem.

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The authors declare that there are no conflicts of interest present.