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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.
в: Differential Equations, Том 61, № 2, 01.02.2025, стр. 139-153.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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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