Existence results for second-order stochastic differential inclusions driven by Levy noise

被引：0

作者：

Blouhi, Tayeb ^{[1
]}

Ferhat, Mohamed ^{[1
]}

机构：

[1] Univ Sci & Technol Mohamed Boudiaf El Mnaouar, Dept Math, Fac Math & Comp Sci, BP 1505, Oran 31000, Algeria

来源：

AFRIKA MATEMATIKA | 2019年 / 30卷 / 3-4期

关键词：

Non-autonomous stochastic inclusions; Second-order system; Poisson jumps; Impulses; Matrix convergent to zero; Generalized Banach space; Fixed point; Set-valued analysis;

D O I：

10.1007/s13370-019-00664-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove the existence of mild solutions for a second-order impulsive semilinear stochastic differential inclusion with a standard cylindrical Wiener process and Poisson jumps. We consider the case in which the right hand side can be either convex-valued.

引用

页码：529 / 549

页数：21

共 50 条

[41] A viability result for second-order differential inclusions
Lupulescu, Vasile
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2002,
[42] Existence results for first and second order semilinear differential inclusions with nonlocal conditions
Gorniewicz, L.
Ntouyas, S. K.
O'Regan, D.
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2007, 9 (03) : 287 - 310
[43] Recent Existence Results for Second-Order Singular Periodic Differential Equations
Chu, Jifeng
Nieto, Juan J.
BOUNDARY VALUE PROBLEMS, 2009,
[44] Recent Existence Results for Second-Order Singular Periodic Differential Equations
Jifeng Chu
JuanJ Nieto
Boundary Value Problems, 2009
[45] Strong 1.5order scheme for second-order stochastic differential equations without Levy area
Liu, Yufen
Cao, Wanrong
Zhang, Zhongqiang
APPLIED NUMERICAL MATHEMATICS, 2023, 184 : 273 - 284
[46] Existence and stability of solutions to non-Lipschitz stochastic differential equations driven by Levy noise
Xu, Yong
Pei, Bin
Guo, Guobin
APPLIED MATHEMATICS AND COMPUTATION, 2015, 263 : 398 - 409
[47] An existence theorem for second order functional differential inclusions
Benchohra, M
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2002, 9 (04): : 599 - 606
[48] An Existence Result for Second Order Functional Differential Inclusions
Benchohra M.
Ntouyas S.K.
Results in Mathematics, 2000, 38 (1-2) : 9 - 17
[49] EXISTENCE SOLUTIONS FOR A CLASS OF SECOND ORDER DIFFERENTIAL INCLUSIONS
Dalila, Azzam-Laouir
Sabrina, Lounis
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2005, 6 (02) : 339 - 346
[50] Emergence of Levy Walks from Second-Order Stochastic Optimization
Kusmierz, Lukasz
Toyoizumi, Taro
PHYSICAL REVIEW LETTERS, 2017, 119 (25)

← 1 2 3 4 5 →