EXISTENCE RESULTS FOR SECOND-ORDER NEUTRAL STOCHASTIC EQUATIONS DRIVEN BY ROSENBLATT PROCESS

被引：1

作者：

Yahia, Rakia Ahmed ^{[1
]}

Benchaabane, Abbes ^{[2
]}

Zeghdoudi, Halim ^{[2
]}

机构：

[1] Abdelhafid Boussouf Univ Ctr, Lab Math & Leurs Interact MELILAB, Mila 43000, Algeria

[2] Univ 8 May 1945 Guelma, Lab Anal & Control Differential Equat ACED, Guelma, Algeria

来源：

METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY | 2021年 / 27卷 / 04期

关键词：

Controllability; Second-Order Stochastic System; Cosine Family; Rosenblatt process; Non-Lipschitz condition; FRACTIONAL BROWNIAN-MOTION; DIFFERENTIAL-EQUATIONS; DELAY DRIVEN; CONTROLLABILITY;

D O I：

10.31392/MFAT-npu26_4.2021.11

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider a class of second-order impulsive stochastic functional differential equations driven simultaneously by a Rosenblatt process and a standard Brownian motion in a Hilbert space. We prove an existence and uniqueness result under non-Lipschitz condition which is weaker than Lipschitz one and we establish some conditions ensuring the controllability for the mild solution by means of the Banach fixed point principle. At the end we provide a practical example in order to illustrate the viability of our result.

引用

页码：384 / 400

页数：17

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