Cieutat, Philippe Maximum principle and existence of almost-periodic solutions of second-order differential systems. (English) Zbl 1150.34443 Differ. Integral Equ. 17, No. 7-8, 921-942 (2004). Summary: We give sufficient conditions for the existence of almost-periodic solutions of the second-order differential system \(u''=f(t,u,u')\), which satisfies the maximum principle. Our hypotheses do not impose the uniqueness of bounded solutions. Cited in 3 Documents MSC: 34C27 Almost and pseudo-almost periodic solutions to ordinary differential equations 34C11 Growth and boundedness of solutions to ordinary differential equations Keywords:second-order differential systems PDFBibTeX XMLCite \textit{P. Cieutat}, Differ. Integral Equ. 17, No. 7--8, 921--942 (2004; Zbl 1150.34443)