Non-autonomous nonlocal partial differential equations with delay and memory

The paper addresses a kind of non-autonomous nonlocal parabolic equations when the external force contains hereditary characteristics involving bounded and unbounded delays. First, well-posedness problem is analyzed by Galerkin method energy estimations in phase space C ? ( X ) . Moreover, some results related to strong solutions are proved under suitable assumptions. existence stationary then established corollary Brower fixed point theorem. By constructing appropriate Lyapunov functionals terms characteristic delay terms, deep analysis on stability attractiveness established. Furthermore, pullback attractors L 2 ? , with delays, shown. We emphasize that, prove case, new space, E ? has be constructed.