Name
Title | ||
|---|---|---|
A note on the second-order non-autonomous neutral stochastic evolution equations with infinite delay under Carathéodory conditions. |
Abstract | ||
|---|---|---|
In this note, we aim to study a class of second-order non-autonomous neutral stochastic evolution equations with infinite delay driven by a standard cylindrical Wiener process and an independent cylindrical fractional Brownian motion with Hurst parameter H is an element of (1/2,1), in which the initial value belongs to the abstract space B. We establish the existence and uniqueness of mild solutions for this kind of equations under some Caratheodory conditions by means of the successive approximation. The obtained result extends some well-known results. An example is proposed to illustrate the theory. (C) 2014 Elsevier Inc. All rights reserved. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.amc.2014.01.091 | APPLIED MATHEMATICS AND COMPUTATION |
Keywords | Field | DocType |
Second-order neutral stochastic evolution equation,Non-autonomous,Infinite delay,Caratheodory condition | Wiener process,Uniqueness,Mathematical optimization,Mathematical analysis,Cylinder,Hurst exponent,Shaping,Initial value problem,Abstract space,Fractional Brownian motion,Mathematics | Journal |
Volume | Issue | ISSN |
232 | null | 0096-3003 |
Citations | PageRank | References |
2 | 0.41 | 1 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yong Ren | 1 | 83 | 15.29 |
| Tingting Hou | 2 | 13 | 5.61 |
| R. Sakthivel | 3 | 568 | 48.45 |
| Xing Cheng | 4 | 2 | 0.41 |