On the Existence and Feedback Control for New Nonlinear Evolutionary Equations with the Condition (M)
摘要
This paper develops systematic methods to investigate the existence and feedback control of a new class of evolutionary equations governed by operators satisfying condition (M). First, by applying the Rothe time-discretization technique together with a surjectivity theorem for (M)-type operators, we derive several existence results for the evolutionary problem. Next, under suitable assumptions, we establish the existence of feasible state–control pairs for the associated feedback control system.