Title of article :
Global existence and nonexistence of solution for Cauchy problem for a class of fourth order semi-linear pseudo-hyperbolic equations with structural damping
Author/Authors :
Aliev, Akbar B. Azerbaijan University, Baku, Azerbaijan , Pashayev, Asif F. Azerbaijan University, Baku, Azerbaijan
Abstract :
A sufficient condition for the existence of global solutions is established, and the rate of decay
of solutions to the Cauchy problem for a semi-linear pseudo-hyperbolic equation with structural damping
is found. The nonexistence of global solutions is also studied. An analogue of the critical Fujita exponents
is obtained for the considered problem
Keywords :
Cauchy problem , global existence , pseudo-hyperbolic equation , structural damping , Fujita exponent
Journal title :
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
