RT info:eu-repo/semantics/article
T1 A note on the averaging principle for ordinary differential equations depending on the slow time
A1 Núñez Jiménez, María del Carmen
A1 Obaya, Rafael
A1 Rodríguez Pérez, Jorge
K1 Averaging theory
K1 Nonautonomous dynamical systems
K1 Multiscale ordinary differential equations
K1 12 Matemáticas
AB he work presents a ‘‘doubly’’ nonautonomous version of the averaging principle, applicable to equations that depend on a small parameter 𝜀 and on (fast) time 𝜏, but also on slow time 𝑡 = 𝜀𝜏. The objectives are to establish optimal conditions on the dependence of the coefficients of the equations on 𝑡 under which the averaging principle can be extended and to provide good estimates of the distance between the solutions of the initial equation and those of the averaged equation, always with 𝜏 varying in intervals of length proportional to 1∕𝜀. The applicability of these results is based on the fact that the estimates obtained are uniform with respect to the initial time at which the solutions of both equations coincide.
PB Elsevier
SN 0893-9659
YR 2026
FD 2026
LK https://uvadoc.uva.es/handle/10324/83358
UL https://uvadoc.uva.es/handle/10324/83358
LA eng
NO Applied Mathematics Letters, 2026, vol. 178, p. 109910
NO Producción Científica
DS UVaDOC
RD 10-mar-2026