On a class of iterative-difference equations 1. Supported by NSFC(China) grant #10825104 and SRFDP #200806100002. View all notes

摘要

Solving the class of second order iterative-difference equations is a difficult problem, proposed as an open problem in Brillouët-Belluot [Aequationes Math. 61 (3) (2001), p. 304]. In this paper, we use three methods to approach such a class of equations, finding their affine solutions, proving the existence of their bounded continuous solutions and constructing their continuous and piecewise continuous solutions.View full textDownload full textKeywordsiterative-difference equation, iterative root, continuity, fixed point, characteristic polynomialAMS Subject Classification:39B12, 37E05Related var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/10236190902791627