Asymptotic stability of an integro-differential equation of parabolic type
Asymptotic stability of the extended Tjon-Wu model.
Asymptotic stability of wave equations with memory and frictional boundary dampings
This work is concerned with stabilization of a wave equation by a linear boundary term combining frictional and memory damping on part of the boundary. We prove that the energy decays to zero exponentially if the kernel decays exponentially at infinity. We consider a slightly different boundary condition than the one used by M. Aassila et al. [Calc. Var. 15, 2002]. This allows us to avoid the assumption that the part of the boundary where the feedback is active is strictly star-shaped. The result...
Asymptotically almost periodic and almost periodic solutions for a class of partial integro-differential equations.
Asymptotically almost periodic solutions for abstract partial neutral integro-differential equation.
Asymptotics for large time of solutions to nonlinear system associated with the penetration of a magnetic field into a substance
The nonlinear integro-differential system associated with the penetration of a magnetic field into a substance is considered. The asymptotic behavior as of solutions for two initial-boundary value problems are studied. The problem with non-zero conditions on one side of the lateral boundary is discussed. The problem with homogeneous boundary conditions is studied too. The rates of convergence are given. Results presented show the difference between stabilization characters of solutions of these...
Asymptotics of a solution of a nonlinear system of diffusion of a magnetic field into a substance.