Periodic stability and reachability of nonlinear parabolic equations
Kanako Naito · 2002
The author studies the asymptotic behavior and the reachable sets of solutions of nonlinear parabolic equations when periodic or asymptotically periodic perturbations are given through the boundary. Introducing an inequality condition on the system parameters, period, and constants on the elliptic operator with boundary conditions and on the nonlinear term, the author shows the asymptotically periodic stability and reachability of the solutions.>