%0 Journal Article
%F Pukach2017
%A Pukach, Petro
%A Il'kiv, Volodymyr
%A Nytrebych, Zinovii
%A Vovk, Myroslava
%T On nonexistence of global in time solution for a mixed problem for a nonlinear evolution equation with memory generalizing the Voigt-Kelvin rheological model
%! On nonexistence of global in time solution for a mixed problem for a nonlinear evolution equation with memory generalizing the Voigt-Kelvin rheological model
%J Opuscula Mathematica
%O Opuscula Math.
%D 2017
%V 37
%N 5
%P 735-753
%R http://dx.doi.org/10.7494/OpMath.2017.37.5.735
%U http://dx.doi.org/10.7494/OpMath.2017.37.5.735
%X 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.
%K boundary value problem
beam vibrations
nonlinear evolution equation
Voigt-Kelvin model
memory
blowup
%@ 1232-9274