# Exact Asymptotics of the Solution to a Difference Equation of General Type

## Abstract

An asymptotic expansion for the solution to a nonhomogeneous difference equation of general type is obtained. The influence of the roots of the characteristic equation is taken into account. The asymptotic behavior of the remainder is established, depending on the asymptotics of the nonhomogeneous term of the equation.

- Authors:

- Sobolev Institute of Mathematics SB RAS (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22771204

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Mathematical Sciences

- Additional Journal Information:
- Journal Volume: 231; Journal Issue: 2; 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; EQUATIONS; EXACT SOLUTIONS

### Citation Formats

```
Sgibnev, M. S., E-mail: sgibnev@math.nsc.ru.
```*Exact Asymptotics of the Solution to a Difference Equation of General Type*. United States: N. p., 2018.
Web. doi:10.1007/S10958-018-3821-1.

```
Sgibnev, M. S., E-mail: sgibnev@math.nsc.ru.
```*Exact Asymptotics of the Solution to a Difference Equation of General Type*. United States. doi:10.1007/S10958-018-3821-1.

```
Sgibnev, M. S., E-mail: sgibnev@math.nsc.ru. Tue .
"Exact Asymptotics of the Solution to a Difference Equation of General Type". United States. doi:10.1007/S10958-018-3821-1.
```

```
@article{osti_22771204,
```

title = {Exact Asymptotics of the Solution to a Difference Equation of General Type},

author = {Sgibnev, M. S., E-mail: sgibnev@math.nsc.ru},

abstractNote = {An asymptotic expansion for the solution to a nonhomogeneous difference equation of general type is obtained. The influence of the roots of the characteristic equation is taken into account. The asymptotic behavior of the remainder is established, depending on the asymptotics of the nonhomogeneous term of the equation.},

doi = {10.1007/S10958-018-3821-1},

journal = {Journal of Mathematical Sciences},

issn = {1072-3374},

number = 2,

volume = 231,

place = {United States},

year = {2018},

month = {5}

}

Other availability

Save to My Library

You must Sign In or Create an Account in order to save documents to your library.