Existence and uniqueness of solutions to random impulsive differential systems

Shu Jin Wu; Xiao Lin Guo; Song Qing Lin

doi:10.1007/s10255-006-0336-1

Existence and uniqueness of solutions to random impulsive differential systems

Shu Jin Wu, Xiao Lin Guo, Song Qing Lin

School of Statistics

Research output: Contribution to journal › Article › peer-review

47 Scopus citations

Abstract

The existence and uniqueness in mean square of solutions to certain random impulsive differential systems is discussed in this paper. Cauchy-Schwarz inequality, Lipschtiz condition and techniques in stochastic analysis are employed in achieve the desired results.

Original language	English
Pages (from-to)	627-632
Number of pages	6
Journal	Acta Mathematicae Applicatae Sinica
Volume	22
Issue number	4
DOIs	https://doi.org/10.1007/s10255-006-0336-1
State	Published - Oct 2006

Keywords

Boundedness
Existence
Random impulsive differential system
Uniqueness

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10.1007/s10255-006-0336-1

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title = "Existence and uniqueness of solutions to random impulsive differential systems",

abstract = "The existence and uniqueness in mean square of solutions to certain random impulsive differential systems is discussed in this paper. Cauchy-Schwarz inequality, Lipschtiz condition and techniques in stochastic analysis are employed in achieve the desired results.",

keywords = "Boundedness, Existence, Random impulsive differential system, Uniqueness",

author = "Wu, \{Shu Jin\} and Guo, \{Xiao Lin\} and Lin, \{Song Qing\}",

year = "2006",

month = oct,

doi = "10.1007/s10255-006-0336-1",

language = "英语",

volume = "22",

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T1 - Existence and uniqueness of solutions to random impulsive differential systems

AU - Wu, Shu Jin

AU - Guo, Xiao Lin

AU - Lin, Song Qing

PY - 2006/10

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N2 - The existence and uniqueness in mean square of solutions to certain random impulsive differential systems is discussed in this paper. Cauchy-Schwarz inequality, Lipschtiz condition and techniques in stochastic analysis are employed in achieve the desired results.

AB - The existence and uniqueness in mean square of solutions to certain random impulsive differential systems is discussed in this paper. Cauchy-Schwarz inequality, Lipschtiz condition and techniques in stochastic analysis are employed in achieve the desired results.

KW - Boundedness

KW - Existence

KW - Random impulsive differential system

KW - Uniqueness

UR - https://www.scopus.com/pages/publications/34547696933

U2 - 10.1007/s10255-006-0336-1

DO - 10.1007/s10255-006-0336-1

M3 - 文章

AN - SCOPUS:34547696933

SN - 0168-9673

VL - 22

SP - 627

EP - 632

JO - Acta Mathematicae Applicatae Sinica

JF - Acta Mathematicae Applicatae Sinica

IS - 4

ER -

Existence and uniqueness of solutions to random impulsive differential systems

Abstract

Keywords

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