ON EXISTENCE OF PERIODIC SOLUTIONS OF AN ORDINARY SECOND-ORDER DIFFERENTIAL EQUATION WITH PARAMETER AND DISCONTINUOUS RIGHT-HAND SIDE WITH VARIOUS BOUNDARY CONDITIONS

An ordinary second-order differential equation with positive parameter and discontinuous right-hand side which changes its sign at the point of the jump is considered. Various boundary value problems for it are formulated, including mixed and periodic boundary conditions. Theorems on existence of periodic solutions of the studied boundary value problems are established. The obtained results are illustrated by examples.

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Publication Details

Journal
Дифференциальные уравнения / Differential Equations
Published
2025-01-01
DOI
https://doi.org/10.7868/s3034503025020016
Primary Topic
Differential Equations and Numerical Methods
Type
article
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article

ON EXISTENCE OF PERIODIC SOLUTIONS OF AN ORDINARY SECOND-ORDER DIFFERENTIAL EQUATION WITH PARAMETER AND DISCONTINUOUS RIGHT-HAND SIDE WITH VARIOUS BOUNDARY CONDITIONS

O. V. Baskov
Дифференциальные уравнения / Differential Equations
Differential Equations and Numerical Methods
article

ON EXISTENCE OF PERIODIC SOLUTIONS OF AN ORDINARY SECOND-ORDER DIFFERENTIAL EQUATION WITH PARAMETER AND DISCONTINUOUS RIGHT-HAND SIDE WITH VARIOUS BOUNDARY CONDITIONS

O. V. Baskov
article en

Abstract

An ordinary second-order differential equation with positive parameter and discontinuous right-hand side which changes its sign at the point of the jump is considered. Various boundary value problems for it are formulated, including mixed and periodic boundary conditions. Theorems on existence of periodic solutions of the studied boundary value problems are established. The obtained results are illustrated by examples.

Дифференциальные уравнения / Differential EquationsVol. 61(2)
Openalex Percentile: Top 60%
Differential Equations and Numerical Methods
DOISourceOpenAlex
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ON EXISTENCE OF PERIODIC SOLUTIONS OF AN ORDINARY SECOND-ORDER DIFFERENTIAL EQUATION WITH PARAMETER AND DISCONTINUOUS RIGHT-HAND SIDE WITH VARIOUS BOUNDARY CONDITIONS — O. V. Baskov · Дифференциальные уравнения / Differential Equations (2025) | TGRS Research Map | TGRS