Asymptotically periodic solutions to some second-order evolution and difference equations

被引:4
|
作者
Khatibzadeh, Hadi [1 ]
Morosanu, Gheorghe [2 ]
机构
[1] Univ Zanjan, Dept Math, Zanjan, Iran
[2] Cent European Univ, Dept Math, H-1051 Budapest, Hungary
关键词
perturbed periodic forcing; periodic solution; weak asymptotic periodicity; 34G25; 47H04; 47H05; 47J35;
D O I
10.1080/00036811.2014.915619
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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).
引用
收藏
页码:1042 / 1050
页数:9
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