L2-primitive process for retarded stochastic neutral functional differential equations in Hilbert spaces

Authors

Keywords:

stochastic neutral differential equations, retarded system, L 2 - primitive process, analytic semigroup, fractional power

Abstract

In this paper, we study the existence of solutions and L2-primitive process for retarded stochastic neutral functional differential equations in Hilbert spaces. We no longer require the Azera-Ascoli theorem to prove the existence of continuous solutions of nonlinear differential systems, but instead we apply the regularity results of general linear differential equations to the case the L2 -primitive process for retarded stochastic neutral functional differential systems with unbounded principal operators, delay terms and local Lipschitz continuity of the nonlinear term. Finally, we give a simple example to which our main result can be applied

Downloads

Published

2021-10-05

How to Cite

Yong Han Kang, & Jin-Mun Jeong. (2021). L2-primitive process for retarded stochastic neutral functional differential equations in Hilbert spaces. Journal of Computational Analysis and Applications (JoCAAA), 29(5), 838–861. Retrieved from http://eudoxuspress.com/index.php/pub/article/view/196

Issue

Section

Articles

Similar Articles

1 2 3 4 5 6 7 8 9 10 > >> 

You may also start an advanced similarity search for this article.