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Your search keyword '"quasi-invariant set"' showing total 3 results
Start Over Descriptor "quasi-invariant set" Topic mathematics
3 results on '"quasi-invariant set"'

1. Attracting and quasi-invariant sets of neutral stochastic integro-differential equations with impulses driven by fractional Brownian motion

Author

Pengju Duan and Yong Ren

Subjects
impulsive integral inequality, fractional Brownian motion, attracting set, quasi-invariant set, stochastic integro-differential equation, Mathematics, QA1-939
Abstract

Abstract The paper is devoted to investigating a class of neutral stochastic integro-differential equations with impulses driven by fractional Brownian motion. By establishing two new impulsive integral inequalities which improve the inequalities established by Li (Neurocomputing 177:620-627, 2016) and Long et al. (Stat. Probab. Lett. 82(9):1699-1709, 2012), attracting and quasi-invariant sets of the system are obtained. Moreover, exponential stability of the mild solution is established with sufficient conditions.

Published
2017
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2. Attracting and quasi-invariant sets for a class of impulsive stochastic difference equations

Author

Li Dingshi and Long Shujun

Subjects
Attracting set, Quasi-invariant set, Impulsive, Stochastic, Difference equations, Difference in-equality, Halanay inequality, Mathematics, QA1-939
Abstract

Abstract The aim of this article is to study the attracting and quasi-invariant sets for a class of impulsive stochastic difference equations. By establishing a difference inequality, we obtain the attracting and quasi-invariant sets of systems under consideration. An example is given to illustrate the theory.

Published
2011

3. Attracting and quasi-invariant sets for a class of impulsive stochastic difference equations

Author

Dingshi Li and Shujun Long

Subjects
Halanay inequality, Quasi-invariant set, Difference equations, Partial differential equation, Algebra and Number Theory, Impulsive, Stochastic, Attracting set, lcsh:Mathematics, Applied Mathematics, Stochastic difference equations, Mathematical analysis, Finite difference method, Invariant (physics), lcsh:QA1-939, Stochastic partial differential equation, Simultaneous equations, Ordinary differential equation, Applied mathematics, Difference in-equality, Analysis, Mathematics
Abstract

The aim of this article is to study the attracting and quasi-invariant sets for a class of impulsive stochastic difference equations. By establishing a difference inequality, we obtain the attracting and quasi-invariant sets of systems under consideration. An example is given to illustrate the theory.

Full Text
View/download PDF

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