The existence and exponential stability of semilinear functional differential equations with random impulses under non-uniqueness

A. Anguraj; Shujin Wu; A. Vinodkumar

doi:10.1016/j.na.2010.07.007

The existence and exponential stability of semilinear functional differential equations with random impulses under non-uniqueness

A. Anguraj^*
, Shujin Wu
, A. Vinodkumar

^*Corresponding author for this work

School of Statistics

Bharathiar University

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

47 Scopus citations

Abstract

In this paper, the existence and exponential stability of mild solutions of semilinear differential equations with random impulses are studied under non-uniqueness in a real separable Hilbert space. The results are obtained by using the LeraySchauder alternative fixed point theorem.

Original language	English
Pages (from-to)	331-342
Number of pages	12
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	74
Issue number	2
DOIs	https://doi.org/10.1016/j.na.2010.07.007
State	Published - 15 Jan 2011

Keywords

Existence
Exponential stability
LeraySchauder alternative fixed point theorem
Mild solutions
Random impulse
Semilinear differential equation

Access to Document

10.1016/j.na.2010.07.007

Cite this

@article{15929e0066a94fd0894d1260e355ba59,

title = "The existence and exponential stability of semilinear functional differential equations with random impulses under non-uniqueness",

abstract = "In this paper, the existence and exponential stability of mild solutions of semilinear differential equations with random impulses are studied under non-uniqueness in a real separable Hilbert space. The results are obtained by using the LeraySchauder alternative fixed point theorem.",

keywords = "Existence, Exponential stability, LeraySchauder alternative fixed point theorem, Mild solutions, Random impulse, Semilinear differential equation",

author = "A. Anguraj and Shujin Wu and A. Vinodkumar",

year = "2011",

month = jan,

day = "15",

doi = "10.1016/j.na.2010.07.007",

language = "英语",

volume = "74",

pages = "331--342",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

issn = "0362-546X",

publisher = "Elsevier Ltd",

number = "2",

}

TY - JOUR

T1 - The existence and exponential stability of semilinear functional differential equations with random impulses under non-uniqueness

AU - Anguraj, A.

AU - Wu, Shujin

AU - Vinodkumar, A.

PY - 2011/1/15

Y1 - 2011/1/15

N2 - In this paper, the existence and exponential stability of mild solutions of semilinear differential equations with random impulses are studied under non-uniqueness in a real separable Hilbert space. The results are obtained by using the LeraySchauder alternative fixed point theorem.

AB - In this paper, the existence and exponential stability of mild solutions of semilinear differential equations with random impulses are studied under non-uniqueness in a real separable Hilbert space. The results are obtained by using the LeraySchauder alternative fixed point theorem.

KW - Existence

KW - Exponential stability

KW - LeraySchauder alternative fixed point theorem

KW - Mild solutions

KW - Random impulse

KW - Semilinear differential equation

UR - https://www.scopus.com/pages/publications/77957991908

U2 - 10.1016/j.na.2010.07.007

DO - 10.1016/j.na.2010.07.007

M3 - 文章

AN - SCOPUS:77957991908

SN - 0362-546X

VL - 74

SP - 331

EP - 342

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 2

ER -

The existence and exponential stability of semilinear functional differential equations with random impulses under non-uniqueness

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this