TY  - JOUR
ID  - Pukach2017
LB  - Pukach2017
AU  - Pukach, Petro
AU  - Il'kiv, Volodymyr
AU  - Nytrebych, Zinovii
AU  - Vovk, Myroslava
TI  - On nonexistence of global in time solution for a mixed problem for a nonlinear evolution equation with memory generalizing the Voigt-Kelvin rheological model
ST  - On nonexistence of global in time solution for a mixed problem for a nonlinear evolution equation with memory generalizing the Voigt-Kelvin rheological model
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2017
VL  - 37
IS  - 5
SP  - 735
EP  - 753
DO  - http://dx.doi.org/10.7494/OpMath.2017.37.5.735
UR  - http://dx.doi.org/10.7494/OpMath.2017.37.5.735
AB  - 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.
KW  - boundary value problem
KW  - beam vibrations
KW  - nonlinear evolution equation
KW  - Voigt-Kelvin model
KW  - memory
KW  - blowup
SN  - 1232-9274
ER  -