Ronto, A. N.; Rontó, M.; Samoilenko, A. M.; Trofimchuk, S. I. On periodic solutions of autonomous difference equations. (English) Zbl 0985.39010 Georgian Math. J. 8, No. 1, 135-164 (2001). Using the method of periodic successive approximations [cf. M. Ronto and A. M. Samoilenko, Numerical-analytic methods in the theory of boundary-value problems. Singapore: World Scientific (2000; Zbl 0957.65074)] adopted for the study of periodic difference equations in Banach spaces, the authors obtain lower bounds for the periods of non-constant periodic solutions of autonomous difference equations in Banach space with nonlinear terms satisfying a kind of Lipschitz condition. Reviewer: Victor I.Tkachenko (Kyïv) Cited in 4 Documents MSC: 39A11 Stability of difference equations (MSC2000) Keywords:method of periodic successive approximations; periodic solution; periodic difference equations; Banach spaces; autonomous difference equations Citations:Zbl 0957.65074 PDFBibTeX XMLCite \textit{A. N. Ronto} et al., Georgian Math. J. 8, No. 1, 135--164 (2001; Zbl 0985.39010) Full Text: EuDML EMIS