Matkowski, J.; Zhang, W. On linear dependence of iterates. (English) Zbl 0972.39012 J. Appl. Anal. 6, No. 1, 149-157 (2000). A class of functional equations is investigated. The functional equation can be interpreted as a linear dependence of iterates of an unknown function. The main results are formulated in terms of the roots of the relevant characteristic polynomials. Reviewer: Victor V.Goryainov (Volzhsky) Cited in 10 Documents MSC: 39B12 Iteration theory, iterative and composite equations Keywords:iterative functional equation; linear dependence of iterates; characteristic polynomials PDF BibTeX XML Cite \textit{J. Matkowski} and \textit{W. Zhang}, J. Appl. Anal. 6, No. 1, 149--157 (2000; Zbl 0972.39012) Full Text: DOI References: [1] Fort Jr., M.K., Ann. Polon. Math. 13 pp 205– (1963) [2] Jarczyk W., Aequationes Math. 51 pp 303– (1996) · Zbl 0872.39010 · doi:10.1007/BF01833285 [3] Jarczyk W., Grazer Math. Ber. 334 pp 153– (1997) [4] Mukherjea A., Nonlinear Anal. 7 pp 899– (1983) · Zbl 0518.39005 · doi:10.1016/0362-546X(83)90065-2 [5] Nabeya S., Aequationes Math. 11 pp 199– (1974) · Zbl 0289.39003 · doi:10.1007/BF01834919 [6] Tabor J., Results Math. 27 pp 412– (1995) [7] Zhang W., Nonlinear Anal. 15 pp 387– (1990) · Zbl 0717.39005 · doi:10.1016/0362-546X(90)90147-9 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.