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
Pages
19
From page
3
To page
21
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
Serial Year
2016
Full Text URL
Record number
2611273
Link To Document