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This article is cited in 1 scientific paper (total in 1 paper)
Ordinary differential equations
On solutions of a boundary value problem for a second-order differential equation with a parameter and discontinuous right-hand side
O. V. Baskov, D. K. Potapov St. Petersburg State University, 199034, St. Petersburg, Russia
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.
Key words:
boundary value problem, ordinary differential equation, discontinuous right-hand side, analytical solution, numerical solution.
Received: 25.02.2023 Revised: 15.03.2023 Accepted: 30.03.2023
Citation:
O. V. Baskov, D. K. Potapov, “On solutions of a boundary value problem for a second-order differential equation with a parameter and discontinuous right-hand side”, Zh. Vychisl. Mat. Mat. Fiz., 63:8 (2023), 1296–1308; Comput. Math. Math. Phys., 63:8 (2023), 1424–1436
Linking options:
https://www.mathnet.ru/eng/zvmmf11599 https://www.mathnet.ru/eng/zvmmf/v63/i8/p1296
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