Detail publikačního výsledku

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

MUKHIGULASHVILI, S.

Originální název

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

Anglický název

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

Druh

Článek WoS

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

MUKHIGULASHVILI, S.

Rok RIV

2023

Vydáno

30.09.2022

ISSN

1072-947X

Periodikum

Georgian Mathematical Journal

Svazek

2022

Číslo

1

Stát

Spolková republika Německo

Strany počet

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"
}