Invariant and Attracting Sets of Stochastic Partial Functional Differential Systems

This paper is dedicated to analysing invariant and attracting sets of stochastic partial functional differential systems. By introducing an approximate system with strong solutions and employing a limit argument along with a proof by reductio ad absurdum, several new sufficient conditions for the existence of invariant and attracting sets of the mild solutions are established. Finally, examples are provided alongside comparisons to existing results to demonstrate the superiority of our obtained outcomes.