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On the Existence of Periodic Solutions of an Ordinary Second-Order Differential Equation with Parameter and Discontinuous Right-Hand Side under Various Boundary Conditions. / Baskov, O.V.; Potapov, D.K.

In: Differential Equations, Vol. 61, No. 2, 01.02.2025, p. 139-153.

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

Harvard

Baskov, OV & Potapov, DK 2025, 'On the Existence of Periodic Solutions of an Ordinary Second-Order Differential Equation with Parameter and Discontinuous Right-Hand Side under Various Boundary Conditions', Differential Equations, vol. 61, no. 2, pp. 139-153. https://doi.org/10.1134/S0012266125020016

APA

Baskov, O. V., & Potapov, D. K. (2025). On the Existence of Periodic Solutions of an Ordinary Second-Order Differential Equation with Parameter and Discontinuous Right-Hand Side under Various Boundary Conditions. Differential Equations, 61(2), 139-153. https://doi.org/10.1134/S0012266125020016

Vancouver

Baskov OV, Potapov DK. On the Existence of Periodic Solutions of an Ordinary Second-Order Differential Equation with Parameter and Discontinuous Right-Hand Side under Various Boundary Conditions. Differential Equations. 2025 Feb 1;61(2):139-153. https://doi.org/10.1134/S0012266125020016

Author

Baskov, O.V. ; Potapov, D.K. / On the Existence of Periodic Solutions of an Ordinary Second-Order Differential Equation with Parameter and Discontinuous Right-Hand Side under Various Boundary Conditions. In: Differential Equations. 2025 ; Vol. 61, No. 2. pp. 139-153.

BibTeX

@article{00f0a4b617484d1bb29903a702da1f8b,
title = "On the Existence of Periodic Solutions of an Ordinary Second-Order Differential Equation with Parameter and Discontinuous Right-Hand Side under Various Boundary Conditions",
abstract = "Abstract: An ordinary second-order differential equation with a positive parameter and withdiscontinuous right-hand side that changes its sign at the point of the jump is considered. Variousboundary value problems for it are stated, including mixed and periodic boundary conditions.Theorems on the existence of periodic solutions of the boundary value problems in question areestablished. The results are illustrated by examples.",
keywords = "boundary value problem, differential equation, discontinuous right-hand side, periodic solution",
author = "O.V. Baskov and D.K. Potapov",
year = "2025",
month = feb,
day = "1",
doi = "10.1134/S0012266125020016",
language = "English",
volume = "61",
pages = "139--153",
journal = "Differential Equations",
issn = "0012-2661",
publisher = "Pleiades Publishing",
number = "2",

}

RIS

TY - JOUR

T1 - On the Existence of Periodic Solutions of an Ordinary Second-Order Differential Equation with Parameter and Discontinuous Right-Hand Side under Various Boundary Conditions

AU - Baskov, O.V.

AU - Potapov, D.K.

PY - 2025/2/1

Y1 - 2025/2/1

N2 - Abstract: An ordinary second-order differential equation with a positive parameter and withdiscontinuous right-hand side that changes its sign at the point of the jump is considered. Variousboundary value problems for it are stated, including mixed and periodic boundary conditions.Theorems on the existence of periodic solutions of the boundary value problems in question areestablished. The results are illustrated by examples.

AB - Abstract: An ordinary second-order differential equation with a positive parameter and withdiscontinuous right-hand side that changes its sign at the point of the jump is considered. Variousboundary value problems for it are stated, including mixed and periodic boundary conditions.Theorems on the existence of periodic solutions of the boundary value problems in question areestablished. The results are illustrated by examples.

KW - boundary value problem

KW - differential equation

KW - discontinuous right-hand side

KW - periodic solution

UR - https://www.mendeley.com/catalogue/9d03b7e6-2b48-3106-a809-9083f78473e3/

U2 - 10.1134/S0012266125020016

DO - 10.1134/S0012266125020016

M3 - Article

VL - 61

SP - 139

EP - 153

JO - Differential Equations

JF - Differential Equations

SN - 0012-2661

IS - 2

ER -

ID: 136483010