Time periodic solutions for strongly nonlinear parabolic systems with
We study a class of nonlinear periodic systems driven by general
differential operators with variable exponent. We assume that the
reactions contains p(x)-growth nonlinearities with respect to the
gradients. By using Leray Schauder’s topological degree combined with
the sub- and super-solutions method, we establish the existence and
uniqueness results of weak periodic solutions to the studied systems.