Standard

Continuous Dependence on Parameters and Boundedness of Solutions to a Hysteresis System. / Kamachkin, Alexander M.; Potapov, Dmitriy K.; Yevstafyeva, Victoria V.

In: Applications of Mathematics, Vol. 67, No. 1, 02.2022, p. 65-80.

Research output: Contribution to journal › Article › peer-review

Harvard

Kamachkin, AM, Potapov, DK & Yevstafyeva, VV 2022, 'Continuous Dependence on Parameters and Boundedness of Solutions to a Hysteresis System', Applications of Mathematics, vol. 67, no. 1, pp. 65-80. https://doi.org/10.21136/am.2021.0085-20

APA

Kamachkin, A. M., Potapov, D. K., & Yevstafyeva, V. V. (2022). Continuous Dependence on Parameters and Boundedness of Solutions to a Hysteresis System. Applications of Mathematics, 67(1), 65-80. https://doi.org/10.21136/am.2021.0085-20

Vancouver

Kamachkin AM, Potapov DK, Yevstafyeva VV. Continuous Dependence on Parameters and Boundedness of Solutions to a Hysteresis System. Applications of Mathematics. 2022 Feb;67(1):65-80. https://doi.org/10.21136/am.2021.0085-20

Author

Kamachkin, Alexander M. ; Potapov, Dmitriy K. ; Yevstafyeva, Victoria V. / Continuous Dependence on Parameters and Boundedness of Solutions to a Hysteresis System. In: Applications of Mathematics. 2022 ; Vol. 67, No. 1. pp. 65-80.

BibTeX

@article{81e53fedacf643debe4c00d91cd1739a,
title = "Continuous Dependence on Parameters and Boundedness of Solutions to a Hysteresis System",
abstract = "We analyze an ordinary differential system with a hysteresis-relay nonlinearity in two cases when the system is autonomous or nonautonomous. Sufficient conditions for both the continuous dependence on the system parameters and the boundedness of the solutions to the system are obtained. We give a supporting example for the autonomous system.",
keywords = "ODE system; hysteresis relay; external disturbance; bounded solution; periodic solution",
author = "Kamachkin, {Alexander M.} and Potapov, {Dmitriy K.} and Yevstafyeva, {Victoria V.}",
note = "Applications of Mathematics, first online, pp. 1-16. https://articles.math.cas.cz/10.21136/AM.2021.0085-20",
year = "2022",
month = feb,
doi = "10.21136/am.2021.0085-20",
language = "English",
volume = "67",
pages = "65--80",
journal = "Applications of Mathematics",
issn = "0862-7940",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - Continuous Dependence on Parameters and Boundedness of Solutions to a Hysteresis System

AU - Kamachkin, Alexander M.

AU - Potapov, Dmitriy K.

AU - Yevstafyeva, Victoria V.

N1 - Applications of Mathematics, first online, pp. 1-16. https://articles.math.cas.cz/10.21136/AM.2021.0085-20

PY - 2022/2

Y1 - 2022/2

N2 - We analyze an ordinary differential system with a hysteresis-relay nonlinearity in two cases when the system is autonomous or nonautonomous. Sufficient conditions for both the continuous dependence on the system parameters and the boundedness of the solutions to the system are obtained. We give a supporting example for the autonomous system.

AB - We analyze an ordinary differential system with a hysteresis-relay nonlinearity in two cases when the system is autonomous or nonautonomous. Sufficient conditions for both the continuous dependence on the system parameters and the boundedness of the solutions to the system are obtained. We give a supporting example for the autonomous system.

KW - ODE system; hysteresis relay; external disturbance; bounded solution; periodic solution

UR - http://www.scopus.com/inward/record.url?scp=85103602075&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/4bbfb2c5-e1f4-3ed4-ba10-70e4c0a88686/

U2 - 10.21136/am.2021.0085-20

DO - 10.21136/am.2021.0085-20

M3 - Article

AN - SCOPUS:85103602075

VL - 67

SP - 65

EP - 80

JO - Applications of Mathematics

JF - Applications of Mathematics

SN - 0862-7940

IS - 1

ER -

ID: 75653873