Asymptotic behavior of the solution of a system of nonlinear integro-differential equations
M. M. Aptsiauri, Temur Jangveladze, Zurab Kiguradze · Differential Equations · 2012
We study the asymptotic behavior as time tends to infinity of the solution of an initial-boundary value problem for a system of nonlinear integro-differential equations that arises in the mathematical modeling of penetration of electromagnetic field into a medium whose electric conductivity substantially depends on temperature. Both homogeneous and inhomogeneous boundary conditions are considered. The exponential stabilization of the solution is established.