# On the Solvability of the Periodic Boundary-Value Problem for a First-Order Differential Equation Unsolved with Respect to the Derivative

## Abstract

In this paper, we obtain solvability conditions for the periodic boundary-value problem for a certain first-order differential equation unsolved with respect to the derivative. These condition were obtained by using the theorem on implicit operators.

- Authors:

- Perm National Research Polytechnic University (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22771284

- 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; BOUNDARY-VALUE PROBLEMS; DIFFERENTIAL EQUATIONS; MATHEMATICAL SOLUTIONS; PERIODICITY

### Citation Formats

```
Kolpakov, I. Yu., E-mail: kolpakov.ilia@mail.ru.
```*On the Solvability of the Periodic Boundary-Value Problem for a First-Order Differential Equation Unsolved with Respect to the Derivative*. United States: N. p., 2018.
Web. doi:10.1007/S10958-018-3771-7.

```
Kolpakov, I. Yu., E-mail: kolpakov.ilia@mail.ru.
```*On the Solvability of the Periodic Boundary-Value Problem for a First-Order Differential Equation Unsolved with Respect to the Derivative*. United States. doi:10.1007/S10958-018-3771-7.

```
Kolpakov, I. Yu., E-mail: kolpakov.ilia@mail.ru. Tue .
"On the Solvability of the Periodic Boundary-Value Problem for a First-Order Differential Equation Unsolved with Respect to the Derivative". United States. doi:10.1007/S10958-018-3771-7.
```

```
@article{osti_22771284,
```

title = {On the Solvability of the Periodic Boundary-Value Problem for a First-Order Differential Equation Unsolved with Respect to the Derivative},

author = {Kolpakov, I. Yu., E-mail: kolpakov.ilia@mail.ru},

abstractNote = {In this paper, we obtain solvability conditions for the periodic boundary-value problem for a certain first-order differential equation unsolved with respect to the derivative. These condition were obtained by using the theorem on implicit operators.},

doi = {10.1007/S10958-018-3771-7},

journal = {Journal of Mathematical Sciences},

issn = {1072-3374},

number = 5,

volume = 230,

place = {United States},

year = {2018},

month = {5}

}

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