Stationary solutions of neutral stochastic partial differential equations with delays in the highest-order derivatives

Liu, Kai (2018) Stationary solutions of neutral stochastic partial differential equations with delays in the highest-order derivatives. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 23 (9). pp. 3915-3934.

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Official URL: http://www.aimsciences.org/article/doi/10.3934/dcd...

Abstract

In this work, we shall consider the existence and uniqueness of stationary solutions to stochastic partial functional differential equations with additive noise in which a neutral type of delay is explicitly presented. We are especially concerned about those delays appearing in both spatial and temporal derivative terms in which the coefficient operator under spatial variables may take the same form as the infinitesimal generator of the equation. We establish the stationary property of the neutral system under investigation by focusing on distributed delays. In the end, an illustrative example is analyzed to explain the theory in this work.

Item Type:	Article
Uncontrolled Keywords:	Stochastic functional differential equation of neutral type, strongly continuous or c(0) semigroup, resolvent operator, stationary solution
Depositing User:	Symplectic Admin
Date Deposited:	04 Dec 2019 14:43
Last Modified:	19 Jan 2023 00:57
DOI:	10.3934/dcdsb.2018117
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3033924