Standard

Approximation to the Sturm–Liouville Problem with a Discontinuous Nonlinearity. / Potapov, D.K.

в: Differential Equations, Том 59, № 9, 01.09.2023, стр. 1185-1192.

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

Harvard

Potapov, DK 2023, 'Approximation to the Sturm–Liouville Problem with a Discontinuous Nonlinearity', Differential Equations, Том. 59, № 9, стр. 1185-1192. https://doi.org/10.1134/s0012266123090045

APA

Potapov, D. K. (2023). Approximation to the Sturm–Liouville Problem with a Discontinuous Nonlinearity. Differential Equations, 59(9), 1185-1192. https://doi.org/10.1134/s0012266123090045

Vancouver

Potapov DK. Approximation to the Sturm–Liouville Problem with a Discontinuous Nonlinearity. Differential Equations. 2023 Сент. 1;59(9):1185-1192. https://doi.org/10.1134/s0012266123090045

Author

Potapov, D.K. / Approximation to the Sturm–Liouville Problem with a Discontinuous Nonlinearity. в: Differential Equations. 2023 ; Том 59, № 9. стр. 1185-1192.

BibTeX

@article{cd48bd655c7b44e39d27cdb4c7ed47e7,
title = "Approximation to the Sturm–Liouville Problem with a Discontinuous Nonlinearity",
abstract = "Abstract: We consider a continuous approximation to the Sturm–Liouville problem witha nonlinearity discontinuous in the phase variable. The approximating problem is obtained fromthe original one by small perturbations of the spectral parameter and by approximating thenonlinearity by Carath{\'e}odory functions. The variational method is used to prove thetheorem on the proximity of solutions of the approximating and original problems. The resultingtheorem is applied to the one-dimensional Gol{\textquoteright}dshtik and Lavrent{\textquoteright}ev models of separated flows.",
author = "D.K. Potapov",
year = "2023",
month = sep,
day = "1",
doi = "10.1134/s0012266123090045",
language = "English",
volume = "59",
pages = "1185--1192",
journal = "Differential Equations",
issn = "0012-2661",
publisher = "Pleiades Publishing",
number = "9",

}

RIS

TY - JOUR

T1 - Approximation to the Sturm–Liouville Problem with a Discontinuous Nonlinearity

AU - Potapov, D.K.

PY - 2023/9/1

Y1 - 2023/9/1

N2 - Abstract: We consider a continuous approximation to the Sturm–Liouville problem witha nonlinearity discontinuous in the phase variable. The approximating problem is obtained fromthe original one by small perturbations of the spectral parameter and by approximating thenonlinearity by Carathéodory functions. The variational method is used to prove thetheorem on the proximity of solutions of the approximating and original problems. The resultingtheorem is applied to the one-dimensional Gol’dshtik and Lavrent’ev models of separated flows.

AB - Abstract: We consider a continuous approximation to the Sturm–Liouville problem witha nonlinearity discontinuous in the phase variable. The approximating problem is obtained fromthe original one by small perturbations of the spectral parameter and by approximating thenonlinearity by Carathéodory functions. The variational method is used to prove thetheorem on the proximity of solutions of the approximating and original problems. The resultingtheorem is applied to the one-dimensional Gol’dshtik and Lavrent’ev models of separated flows.

UR - https://www.mendeley.com/catalogue/41a72110-c063-30b1-9fcb-5c08a2e65b0f/

U2 - 10.1134/s0012266123090045

DO - 10.1134/s0012266123090045

M3 - Article

VL - 59

SP - 1185

EP - 1192

JO - Differential Equations

JF - Differential Equations

SN - 0012-2661

IS - 9

ER -

ID: 113598295