# On a Method of Study of Specific Asymptotic Stability of Solutions to a Sixth-Order Linear Integrodifferential Volterra Equation

## Abstract

We state sufficient conditions of the asymptotic stability on the semi-axis of solutions to a linear, homogeneous, sixth-order integrodifferential Volterra-type equation in the case where solutions of the corresponding linear, homogeneous, sixth-order differential equation are asymptotically unstable. We also present a new method and an illustrating example.

- Authors:

- Institute of Theoretical and Applied Mathematics of the National Academy of Sciences of the Kyrgyz Republic (Kyrgyzstan)

- Publication Date:

- OSTI Identifier:
- 22771286

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Mathematical Sciences

- Additional Journal Information:
- Journal Volume: 230; Journal Issue: 5; Conference: International symposium on differential equations, Perm (Russian Federation), 17-18 May 2016; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 97 MATHEMATICAL METHODS AND COMPUTING; ASYMPTOTIC SOLUTIONS; DIFFERENTIAL EQUATIONS; FUNCTIONS; INTEGRO-DIFFERENTIAL EQUATIONS; STABILITY; VOLTERRA INTEGRAL EQUATIONS

### Citation Formats

```
Iskandarov, S., E-mail: mrmacintosh@list.ru.
```*On a Method of Study of Specific Asymptotic Stability of Solutions to a Sixth-Order Linear Integrodifferential Volterra Equation*. United States: N. p., 2018.
Web. doi:10.1007/S10958-018-3769-1.

```
Iskandarov, S., E-mail: mrmacintosh@list.ru.
```*On a Method of Study of Specific Asymptotic Stability of Solutions to a Sixth-Order Linear Integrodifferential Volterra Equation*. United States. doi:10.1007/S10958-018-3769-1.

```
Iskandarov, S., E-mail: mrmacintosh@list.ru. Tue .
"On a Method of Study of Specific Asymptotic Stability of Solutions to a Sixth-Order Linear Integrodifferential Volterra Equation". United States. doi:10.1007/S10958-018-3769-1.
```

```
@article{osti_22771286,
```

title = {On a Method of Study of Specific Asymptotic Stability of Solutions to a Sixth-Order Linear Integrodifferential Volterra Equation},

author = {Iskandarov, S., E-mail: mrmacintosh@list.ru},

abstractNote = {We state sufficient conditions of the asymptotic stability on the semi-axis of solutions to a linear, homogeneous, sixth-order integrodifferential Volterra-type equation in the case where solutions of the corresponding linear, homogeneous, sixth-order differential equation are asymptotically unstable. We also present a new method and an illustrating example.},

doi = {10.1007/S10958-018-3769-1},

journal = {Journal of Mathematical Sciences},

issn = {1072-3374},

number = 5,

volume = 230,

place = {United States},

year = {2018},

month = {5}

}

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