The initial-boundary value problem for some nonlinear Petrovsky
system with viscoelastic term in bounded domain is studied. The
existence of global solutions for this problem is proved by
constructing a stable set in
and the decay of
solution energy is established by applying a difference inequality
due to M.Nakao.
Key Words: Initial-boundary value problem; Nonlinear
Petrovsky system; Global solutions; Viscoelastic term.
2010 Mathematics Subject Classification: 35A05; 35B40; 35L05.