IСНУВАННЯ ДВОТОЧКОВО-КОЛИВАЛЬНИХ РОЗВ’ЯЗКIВ РЕЛЕЙНОЇ НЕАВТОНОМНОЇ СИСТЕМИ З КРАТНИМ ВЛАСНИМ ЧИСЛОМ ДIЙСНОЇ СИМЕТРИЧНОЇ МАТРИЦI

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IСНУВАННЯ ДВОТОЧКОВО-КОЛИВАЛЬНИХ РОЗВ’ЯЗКIВ РЕЛЕЙНОЇ НЕАВТОНОМНОЇ СИСТЕМИ З КРАТНИМ ВЛАСНИМ ЧИСЛОМ ДIЙСНОЇ СИМЕТРИЧНОЇ МАТРИЦI. / Евстафьева, Виктория Викторовна.

в: УКРАИНСКИЙ МАТЕМАТИЧЕСКИЙ ЖУРНАЛ, Том 73, № 5, 2021, стр. 640-650.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{449bc19db298453099bd21bd948a6dd3,

title = "IСНУВАННЯ ДВОТОЧКОВО-КОЛИВАЛЬНИХ РОЗВ{\textquoteright}ЯЗКIВ РЕЛЕЙНОЇ НЕАВТОНОМНОЇ СИСТЕМИ З КРАТНИМ ВЛАСНИМ ЧИСЛОМ ДIЙСНОЇ СИМЕТРИЧНОЇ МАТРИЦI",

abstract = "We study an n-dimensional system of ordinary differential equations with a hysteresis type relay nonlinearity and a periodicperturbation function in the right-hand side. It is supposed that the matrix of the system is real and symmetric and it hasan eigenvalue of multiplicity two. In the phase space of the system, we consider continuous bounded oscillatory solutionswith two fixed points and the same return time to each of these points. For such solutions, we prove the existence andnonexistence theorems. These results are illustrated by a numerical example for a three-dimensional system",

author = "Евстафьева, {Виктория Викторовна}",

year = "2021",

language = "украинский",

volume = "73",

pages = "640--650",

journal = "УКРАИНСКИЙ МАТЕМАТИЧЕСКИЙ ЖУРНАЛ",

issn = "0041-6053",

publisher = "Институт математики НАН Украины",

number = "5",

}

RIS

TY - JOUR

T1 - IСНУВАННЯ ДВОТОЧКОВО-КОЛИВАЛЬНИХ РОЗВ’ЯЗКIВ РЕЛЕЙНОЇ НЕАВТОНОМНОЇ СИСТЕМИ З КРАТНИМ ВЛАСНИМ ЧИСЛОМ ДIЙСНОЇ СИМЕТРИЧНОЇ МАТРИЦI

AU - Евстафьева, Виктория Викторовна

PY - 2021

Y1 - 2021

N2 - We study an n-dimensional system of ordinary differential equations with a hysteresis type relay nonlinearity and a periodicperturbation function in the right-hand side. It is supposed that the matrix of the system is real and symmetric and it hasan eigenvalue of multiplicity two. In the phase space of the system, we consider continuous bounded oscillatory solutionswith two fixed points and the same return time to each of these points. For such solutions, we prove the existence andnonexistence theorems. These results are illustrated by a numerical example for a three-dimensional system

AB - We study an n-dimensional system of ordinary differential equations with a hysteresis type relay nonlinearity and a periodicperturbation function in the right-hand side. It is supposed that the matrix of the system is real and symmetric and it hasan eigenvalue of multiplicity two. In the phase space of the system, we consider continuous bounded oscillatory solutionswith two fixed points and the same return time to each of these points. For such solutions, we prove the existence andnonexistence theorems. These results are illustrated by a numerical example for a three-dimensional system

M3 - статья

VL - 73

SP - 640

EP - 650

JO - УКРАИНСКИЙ МАТЕМАТИЧЕСКИЙ ЖУРНАЛ

JF - УКРАИНСКИЙ МАТЕМАТИЧЕСКИЙ ЖУРНАЛ

SN - 0041-6053

IS - 5

ER -

ID: 77896949