The Long-Time Behavior Of The Solution For P-Laplacian Equations With Time-Dependent Parameters

M.Conti,F.Di Plinio introduced the notation of time-dependent global attrac-tors and applied it into the wave equations and oscillation equations,respect.ively.Based on these abstract results,we investigat.e the existence of time-dependent pull-back attractor for p-Laplacian equations on the entire space and(L2(Rn),Lq(Rn))(q?2)time-dependent global attractor.First,we prove that,the process associated with the solution of equation is asymptotically compact,which the forcing term only satisfies the certain integral condition.And then obtain the existence of the time-dependent pullback attractor using the uniform tails estimates of solutions.Finally,when the forcing term g ? Lq(Rn)(q?2),we show the existence(L2(Rn),Lq(Rn))of time-dependent global attractors.