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In this work, we shall consider the existence and uniqueness of stationarysolutions to stochastic partial functional differential equations with additivenoise in which a neutral type of delay is explicitly presented. We areespecially concerned about those delays appearing in both spatial and temporalderivative terms in which the coefficient operator under spatial variables maytake the same form as the infinitesimal generator of the equation. We establishthe stationary property of the neutral system under investigation by focusingon distributed delays. In the end, an illustrative example is analysed toexplain the theory in this work.

Stationary Solutions of Neutral Stochastic Partial Differential Equations with Delays in the Highest-Order Derivatives