Cauchy problem for hyperbolic equations of third order with variable exponent of nonlinearity

We investigate weak solutions of the Cauchy problem for the third order hyperbolic equations with variable exponent of the nonlinearity. The problem is considered in some classes of functions namely in Lebesgue spaces with variable exponents. The sufficient conditions of the existence and uniqueness...

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Bibliographic Details
Main Authors: O.M. Buhrii, O.T. Kholyavka, P.Ya. Pukach, M.I. Vovk
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2020-12-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
Online Access:https://journals.pnu.edu.ua/index.php/cmp/article/view/4166