TOPOLOGICAL METHOD FOR COUPLED SYSTEMS OF IMPULSIVE STOCHASTIC SEMILINEAR DIFFERENTIAL INCLUSIONS WITH FRACTIONAL BROWNIAN MOTION

被引：7

作者：

Blouhi, T. ^{[1
]}

Caraballo, T. ^{[2
,3
]}

Ouahab, A. ^{[1
]}

机构：

[1] Univ Djillali Liabes Sidi Bel Abbes, Lab Math, POB 89, Sidi Bel Abbes 22000, Algeria

[2] Univ Seville, Dept Ecuac Diferenciales & Anal Numer, Campus Reina Mercedes, E-41012 Seville, Spain

[3] Univ Adrar, Dept Math & Comp Sci, Natl Rd 06, Adrar 01000, Algeria

来源：

FIXED POINT THEORY | 2019年 / 20卷 / 01期

关键词：

Mild solutions; fractional Brownian motion; impulses; matrix convergent to zero; generalized Banach space; fixed point; set-valued analysis; differential inclusions; FIXED-POINT THEOREM; EVOLUTION INCLUSIONS; EXISTENCE; EQUATIONS;

D O I：

10.24193/fpt-ro.2019.1.05

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove the existence of mild solutions for a first-order impulsive semilinear stochastic differential inclusion with an infinite-dimensional fractional Brownian motion. We consider the cases in which the right hand side can be either convex or nonconvex-valued. The results are obtained by using two different fixed point theorems for multivalued mappings, more precisely, the technique is based on a multivalued version of Perov's fixed point theorem and a new version of a nonlinear alternative of Leray-Schauder's fixed point theorem in generalized Banach spaces.

引用

页码：71 / 105

页数：35

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