Invariant Borel probability measures for discrete long-wave-short-wave resonance equations

Chengzhi Wang, Gang Xue and Caidi Zhao

Applied Mathematics and Computation, 2018, vol. 339, issue C, 853-865

Abstract: In this article we study the Borel probability measures that can be associated to the time averaged observation of the process generated by the non-autonomous long-wave-short-wave resonance equations on infinite lattices, via the notion of generalized Banach limit. We establish that the generated process possesses a pullback-D attractor, and further prove that there exists a unique family of invariant Borel probability measures carried by the pullback attractor.

Keywords: Invariant measures; Pullback attractor; Lattice dynamical system; Long-wave-short-wave resonance equations (search for similar items in EconPapers)
Date: 2018
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300318305484
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:339:y:2018:i:c:p:853-865

DOI: 10.1016/j.amc.2018.06.059

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().