@Article{Pukach2017,
author = "Pukach, Petro and Il'kiv, Volodymyr and Nytrebych, Zinovii and Vovk, Myroslava",
title = "On nonexistence of global in time solution for a mixed problem for a nonlinear evolution equation with memory generalizing the Voigt-Kelvin rheological model",
journal = "Opuscula Math.",
year = "2017",
volume = "37",
number = "5",
pages = "735--753",
doi = "http://dx.doi.org/10.7494/OpMath.2017.37.5.735",
url = "http://dx.doi.org/10.7494/OpMath.2017.37.5.735",
abstract = "The 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.",
keywords = "boundary value problem, beam vibrations, nonlinear evolution equation, Voigt-Kelvin model, memory, blowup",
issn = "1232-9274"
}