On Solutions of a Boundary Value Problem for a Second-Order Differential Equation with a Parameter and Discontinuous Right-Hand Side

O. V. Baskov; Басков О. В.; D. K. Potapov; Потапов Д. К.

doi:10.31857/S0044466923080021

On Solutions of a Boundary Value Problem for a Second-Order Differential Equation with a Parameter and Discontinuous Right-Hand Side

Authors: Baskov O.V.¹, Potapov D.K.¹
Affiliations:
1. St. Petersburg State University
Issue: Vol 63, No 8 (2023)
Pages: 1296-1308
Section: ОБЫКНОВЕННЫЕ ДИФФЕРЕНЦИАЛЬНЫЕ УРАВНЕНИЯ
URL: https://journals.rcsi.science/0044-4669/article/view/136191
DOI: https://doi.org/10.31857/S0044466923080021
EDN: https://elibrary.ru/IIAYWK
ID: 136191

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Abstract
About the authors
References
Supplementary files
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Abstract

A boundary value problem for a second-order ordinary differential equation with a parameter and discontinuous right-hand side is considered. Theorems on the number of solutions to the problem are established. The resulting solutions are illustrated by plots. The process of numerically solving the problem is described.

Keywords

boundary value problem, ordinary differential equation, discontinuous right-hand side, analytical solution, numerical solution

About the authors

O. V. Baskov

St. Petersburg State University

Email: d.potapov@spbu.ru
199034, St. Petersburg, Russia

D. K. Potapov

St. Petersburg State University

Author for correspondence.
Email: d.potapov@spbu.ru
199034, St. Petersburg, Russia

References

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