najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2016-7-5-869-879najo-951Research ArticleСтатьиCauchy problem for some fourth-order nonstrictly hyperbolic equationsKorzyukV. I.korzyuk@bsu.byVinhN. V.vinhnguyen0109@gmail.comInstitute of Mathematics, Belarusian Academy of Sciences, Belarusian State UniversityBelarus20161508202575869879Copyright © Korzyuk V.I., Vinh N.V., 20252025Korzyuk V.I., Vinh N.V.Korzyuk V.I., Vinh N.V.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/951

We describe the analytic solution of the Cauchy problem for some fourth-order linear hyperbolic equations with constant coefficients in a half-plane in the case of two independent variables, assuming certain conditions for the coefficients. Suitable conditions are assumed for the coefficients, and the equation operator is composed of first-order linear operators.

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