Convergence of a class of discrete-time semiflows with applications to difference systems

Taishan Yi, Lihong Huang, Sihu Hu
2005 Applied Mathematics Letters  
In this paper, by employing comparison technique and invariance properties of a positively limited set, we investigate the convergence of precompact orbits of a class of discrete-time semiflows. In particular, we consider the convergence of precompact orbits of discrete-time semiflows generated by some monotone mapping. We then apply these abstract results to a class of difference systems to obtain the large-time behavior of solutions. Our results improve and extend some existing ones.
doi:10.1016/j.aml.2004.08.009 fatcat:nwkxtn2flzgqrhhwyvro5svudu