Periodic solutions for some nonautonomous semilinear boundary evolution equations (Q1026060)

The authors study the existence of periodic solutions for some evolution equations by using the Poincaré map and fixed point approach. Firstly, the authors prove the existence of a periodic solution by using a fixed point theorem for affine maps, for some nonhomogeneous linear equations. For nonlinear equations, the authors use a fixed point theorem for mulitivalued maps. Some applications for illustrations are given for some nonlinear reaction diffusion systems.