The existence and uniqueness of global mild solutions are proven for a class of semilinear nonautonomous evolution equations. Moreover, it is shown that the system, under considerations, has a unique steady state. This analysis uses, essentially, the dissipativity, a subtangential condition, and the positivity of the related -semigroup.
"State Trajectories Analysis for a Class of Tubular Reactor Nonlinear Nonautonomous Models." Abstr. Appl. Anal. 2008 1 - 13, 2008. https://doi.org/10.1155/2008/127394