Publication detail

Optimal conditions of solvability of periodic problem for systems of differential equations with argument deviation

MUKHIGULASHVILI, S.

Original Title

Optimal conditions of solvability of periodic problem for systems of differential equations with argument deviation

Type

journal article in Web of Science

Language

English

Original Abstract

In this paper, we study, on the interval I=[a,b], the problem of the solvability and unique solvability of systems of higher-order differential equations with argument deviation.The optimal conditions are obtained, which guarantee the unique solvability of the linear problem and take into account the effect of argument deviation. Based on these results, the optimal conditions of the solvability and unique solvability are proved for the nonlinear problem.

Keywords

Higher-order system; periodic problem; argument deviations; unique solvability;

Authors

MUKHIGULASHVILI, S.

Released

30. 9. 2022

ISBN

1072-947X

Periodical

Georgian Mathematical Journal

Year of study

2022

Number

1

State

Federal Republic of Germany

Pages count

10

URL

https://www.degruyter.com/document/doi/10.1515/gmj-2022-2182/html

BibTex

@article{BUT179445,
  author="Sulkhan {Mukhigulashvili}",
  title="Optimal conditions of solvability of periodic problem for systems of differential equations with argument deviation",
  journal="Georgian Mathematical Journal",
  year="2022",
  volume="2022",
  number="1",
  pages="10",
  doi="10.1515/gmj-2022-2182",
  issn="1072-947X",
  url="https://www.degruyter.com/document/doi/10.1515/gmj-2022-2182/html"
}