An abstract averaging method with applications to differential equations
(2021) Journal of Differential Equations — Vol. 274, p. 231-250 (2021)
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- Authors
Mawhin, Jean 
Zima, Mirosława
- Abstract
- We present a general formulation of the averaging method in the setting of a semilinear equation Lx=εN(x,ε), being L a linear Fredholm mapping of index zero. Our general approach provides new results even in the classical periodic framework. Among the applications we obtained there are: a partial answer to an open problem related to the Liebau phenomenon, the multiplicity of periodic solutions for a planar system with delay and the existence of solution for a nonlocal chemical reactor.
- Affiliations
Citations
Cid, J. Á., Mawhin, J., & Zima, M. (2021). An abstract averaging method with applications to differential equations. Journal of Differential Equations, 274, 231-250. https://doi.org/10.1016/j.jde.2020.11.051 (Original work published 2021)