Abstract
In this paper, we examine the asymptotic periodicity of the solutions of some second-order differential inclusions on associated with maximal monotone operators in a Hilbert space
, whose forcing terms are periodic functions perturbed by functions from
. It is worth pointing out that strong solutions do not exist in general, so we need to consider weak solutions for this class of evolution inclusions. Similar second-order difference inclusions are also addressed. Our main results on asymptotic periodicity represent significant extensions of the previous theorems proved by R.E. Bruck (1980) and B. Djafari Rouhani (2012).
Acknowledgements
The authors are indebted to an anonymous reviewer for some useful comments which led to an improved version of this paper.