Browsing by Subject "nonlinear evolution equation"
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Item type:Article, Access status: Open Access , On nonexistence of global in time solution for a mixed problem for a nonlinear evolution equation with memory generalizing the Voigt-Kelvin rheological model(Wydawnictwa AGH, 2017) Pukach, Petro; Il'kiv, Volodymyr; Nytrebych, Zinovii; Vovk, MyroslavaThe paper deals with investigating of the first mixed problem for a fifth-order nonlinear evolutional equation which generalizes well known equation of the vibrations theory. We obtain sufficient conditions of nonexistence of a global solution in time variable.