# On stochastic stability of the integral manifold under an action of permanently acting random perturbations

## Abstract

Using Lyapunov function method sufficient conditions of stochastic stability of the given integral manifold under an action of permanently acting random perturbations are obtained.

- Authors:

- Institute of Mathematics and Mathematical Modeling, Almaty (Kazakhstan)
- Al-Farabi Kazakh National University, Almaty (Kazakhstan)

- Publication Date:

- OSTI Identifier:
- 22608263

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: AIP Conference Proceedings; Journal Volume: 1759; Journal Issue: 1; Conference: ICAAM 2016: International conference on analysis and applied mathematics, Almaty (Kazakhstan), 7-10 Sep 2016; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 97 MATHEMATICAL METHODS AND COMPUTING; DISTURBANCES; FUNCTIONS; INTEGRALS; LYAPUNOV METHOD; MATHEMATICAL SPACE; PERTURBATION THEORY; RANDOMNESS; STABILITY; STOCHASTIC PROCESSES

### Citation Formats

```
Tleubergenov, Marat, and Vassilina, Gulmira.
```*On stochastic stability of the integral manifold under an action of permanently acting random perturbations*. United States: N. p., 2016.
Web. doi:10.1063/1.4959742.

```
Tleubergenov, Marat, & Vassilina, Gulmira.
```*On stochastic stability of the integral manifold under an action of permanently acting random perturbations*. United States. doi:10.1063/1.4959742.

```
Tleubergenov, Marat, and Vassilina, Gulmira. Wed .
"On stochastic stability of the integral manifold under an action of permanently acting random perturbations". United States.
doi:10.1063/1.4959742.
```

```
@article{osti_22608263,
```

title = {On stochastic stability of the integral manifold under an action of permanently acting random perturbations},

author = {Tleubergenov, Marat and Vassilina, Gulmira},

abstractNote = {Using Lyapunov function method sufficient conditions of stochastic stability of the given integral manifold under an action of permanently acting random perturbations are obtained.},

doi = {10.1063/1.4959742},

journal = {AIP Conference Proceedings},

number = 1,

volume = 1759,

place = {United States},

year = {Wed Aug 10 00:00:00 EDT 2016},

month = {Wed Aug 10 00:00:00 EDT 2016}

}

DOI: 10.1063/1.4959742

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