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An averaging method for periodic solutions of quasilinear equations in Banach spaces
The aim of the paper is to provide an extension of the averaging method to the periodic problem for quasilinear differential equations $(ϕ(t,u'))' = \varepsilon f(t,u,u',\varepsilon)$, $u(0) = u(T)$, $u'(0) = u'(T)$, where $u$ and $u'$ take values in a Banach space $X$ and $ϕ$ is a suitable homeomor
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