• 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
  • Record number

    2611273