Standard

Вариационное неравенство для задачи Штурма-Лиувилля с разрывной нелинейностью. / Потапов, Дмитрий Константинович.

In: Siberian Electronic Mathematical Reports, Vol. 20, No. 2, 2023, p. 981-986.

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

Harvard

Потапов, ДК 2023, 'Вариационное неравенство для задачи Штурма-Лиувилля с разрывной нелинейностью', Siberian Electronic Mathematical Reports, vol. 20, no. 2, pp. 981-986. https://doi.org/10.33048/semi.2023.20.059

APA

Потапов, Д. К. (2023). Вариационное неравенство для задачи Штурма-Лиувилля с разрывной нелинейностью. Siberian Electronic Mathematical Reports, 20(2), 981-986. https://doi.org/10.33048/semi.2023.20.059

Vancouver

Потапов ДК. Вариационное неравенство для задачи Штурма-Лиувилля с разрывной нелинейностью. Siberian Electronic Mathematical Reports. 2023;20(2):981-986. https://doi.org/10.33048/semi.2023.20.059

Author

Потапов, Дмитрий Константинович. / Вариационное неравенство для задачи Штурма-Лиувилля с разрывной нелинейностью. In: Siberian Electronic Mathematical Reports. 2023 ; Vol. 20, No. 2. pp. 981-986.

BibTeX

@article{d5a65701513d454e836ad4153c06afb1,
title = "Вариационное неравенство для задачи Штурма-Лиувилля с разрывной нелинейностью",
abstract = "We study a variational inequality for the Sturm–Liouville problem with a nonlinearity that is discontinuous in the phase variable. Previously obtained results for variational inequalities with a spectral parameter and discontinuous operators are applied to this problem. For the variational inequality in the Sturm–Liouville problem with discontinuous nonlinearity, we have established theorems on the existence of semiregular solutions and some bound for the parameter. As an application, we consider the variational inequality for a one-dimensional analog of the Gol'dshtik model for separated flows of an incompressible fluid.",
keywords = "Gol'dshtik's model, Sturm–Liouville's problem, discontinuous nonlinearity, variational inequality",
author = "Потапов, {Дмитрий Константинович}",
year = "2023",
doi = "10.33048/semi.2023.20.059",
language = "русский",
volume = "20",
pages = "981--986",
journal = "СИБИРСКИЕ ЭЛЕКТРОННЫЕ МАТЕМАТИЧЕСКИЕ ИЗВЕСТИЯ",
issn = "1813-3304",
publisher = "Sobolev Institute of Mathematics",
number = "2",

}

RIS

TY - JOUR

T1 - Вариационное неравенство для задачи Штурма-Лиувилля с разрывной нелинейностью

AU - Потапов, Дмитрий Константинович

PY - 2023

Y1 - 2023

N2 - We study a variational inequality for the Sturm–Liouville problem with a nonlinearity that is discontinuous in the phase variable. Previously obtained results for variational inequalities with a spectral parameter and discontinuous operators are applied to this problem. For the variational inequality in the Sturm–Liouville problem with discontinuous nonlinearity, we have established theorems on the existence of semiregular solutions and some bound for the parameter. As an application, we consider the variational inequality for a one-dimensional analog of the Gol'dshtik model for separated flows of an incompressible fluid.

AB - We study a variational inequality for the Sturm–Liouville problem with a nonlinearity that is discontinuous in the phase variable. Previously obtained results for variational inequalities with a spectral parameter and discontinuous operators are applied to this problem. For the variational inequality in the Sturm–Liouville problem with discontinuous nonlinearity, we have established theorems on the existence of semiregular solutions and some bound for the parameter. As an application, we consider the variational inequality for a one-dimensional analog of the Gol'dshtik model for separated flows of an incompressible fluid.

KW - Gol'dshtik's model

KW - Sturm–Liouville's problem

KW - discontinuous nonlinearity

KW - variational inequality

UR - https://www.mendeley.com/catalogue/cc6db987-7da1-3e3c-93bd-a2a8be5f6feb/

U2 - 10.33048/semi.2023.20.059

DO - 10.33048/semi.2023.20.059

M3 - статья

VL - 20

SP - 981

EP - 986

JO - СИБИРСКИЕ ЭЛЕКТРОННЫЕ МАТЕМАТИЧЕСКИЕ ИЗВЕСТИЯ

JF - СИБИРСКИЕ ЭЛЕКТРОННЫЕ МАТЕМАТИЧЕСКИЕ ИЗВЕСТИЯ

SN - 1813-3304

IS - 2

ER -

ID: 113850428