Adamczewski, Boris; Bell, Jason; Smertnig, Daniel A height gap theorem for coefficients of Mahler functions. (English) Zbl 07714619 J. Eur. Math. Soc. (JEMS) 25, No. 7, 2525-2571 (2023). Reviewer: Tanguy Rivoal (Grenoble) MSC: 11J81 39A06 11B85 11G50 PDFBibTeX XMLCite \textit{B. Adamczewski} et al., J. Eur. Math. Soc. (JEMS) 25, No. 7, 2525--2571 (2023; Zbl 07714619) Full Text: DOI arXiv
Kaptsov, Oleg V. Iterations and groups of formal transformations. (English) Zbl 1495.39012 J. Sib. Fed. Univ., Math. Phys. 14, No. 5, 584-588 (2021). MSC: 39B12 37E30 PDFBibTeX XMLCite \textit{O. V. Kaptsov}, J. Sib. Fed. Univ., Math. Phys. 14, No. 5, 584--588 (2021; Zbl 1495.39012) Full Text: DOI arXiv MNR
Jarczyk, Justyna; Jarczyk, Witold Note on generalized Archimedes-Borchardt algorithm. (English) Zbl 1485.26059 Aequationes Math. 95, No. 6, 1291-1300 (2021). Reviewer: Ali Morassaei (Zanjan) MSC: 26E60 26A18 39B12 PDFBibTeX XMLCite \textit{J. Jarczyk} and \textit{W. Jarczyk}, Aequationes Math. 95, No. 6, 1291--1300 (2021; Zbl 1485.26059) Full Text: DOI
Wang, Tian; Ren, Zhihua A Siegel theorem for periodic difference systems. (English) Zbl 1481.39020 J. Difference Equ. Appl. 27, No. 5, 698-711 (2021). MSC: 39A45 37C05 37G05 PDFBibTeX XMLCite \textit{T. Wang} and \textit{Z. Ren}, J. Difference Equ. Appl. 27, No. 5, 698--711 (2021; Zbl 1481.39020) Full Text: DOI
Reppekus, Josias Periodic cycles of attracting Fatou components of type \(\mathbb{C}\times(\mathbb{C}^*)^{d-1}\) in automorphisms of \(\mathbb{C}^d\). (English) Zbl 1480.37056 Ann. Mat. Pura Appl. (4) 200, No. 4, 1813-1840 (2021). Reviewer: Jasmin Raissy (Talence) MSC: 37F80 32H50 37F50 39B12 PDFBibTeX XMLCite \textit{J. Reppekus}, Ann. Mat. Pura Appl. (4) 200, No. 4, 1813--1840 (2021; Zbl 1480.37056) Full Text: DOI arXiv
Dragičević, Davor; Zhang, Weinian; Zhang, Wenmeng Smooth linearization of nonautonomous difference equations with a nonuniform dichotomy. (English) Zbl 1428.37021 Math. Z. 292, No. 3-4, 1175-1193 (2019). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 37C60 37D25 39A12 PDFBibTeX XMLCite \textit{D. Dragičević} et al., Math. Z. 292, No. 3--4, 1175--1193 (2019; Zbl 1428.37021) Full Text: DOI arXiv
Kalabušić, Senada; Bešo, Emin; Mujić, Naida; Pilav, Esmir Stability analysis of a certain class of difference equations by using KAM theory. (English) Zbl 1459.39038 Adv. Difference Equ. 2019, Paper No. 209, 17 p. (2019). MSC: 39A30 39A23 37J40 37J46 PDFBibTeX XMLCite \textit{S. Kalabušić} et al., Adv. Difference Equ. 2019, Paper No. 209, 17 p. (2019; Zbl 1459.39038) Full Text: DOI
Shi, Yong-Guo; Zhang, Qian The existence of Siegel disks for the Cremona map. (English) Zbl 1488.39062 Filomat 31, No. 9, 2705-2712 (2017). MSC: 39B12 14E07 PDFBibTeX XMLCite \textit{Y.-G. Shi} and \textit{Q. Zhang}, Filomat 31, No. 9, 2705--2712 (2017; Zbl 1488.39062) Full Text: DOI
Kubyshin, Yu. A.; Larreal, O.; Ramírez-Ros, R.; Seara, T. M. Stability of the phase motion in race-track microtrons. (English) Zbl 1376.78006 Physica D 349, 12-26 (2017). MSC: 78A55 37N20 37M05 39A30 PDFBibTeX XMLCite \textit{Yu. A. Kubyshin} et al., Physica D 349, 12--26 (2017; Zbl 1376.78006) Full Text: DOI arXiv
Ortega, Rafael Translation arcs and stability in two dimensions. (English) Zbl 1355.39009 Alsedà i Soler, Lluís (ed.) et al., Difference equations, discrete dynamical systems and applications, ICDEA, Barcelona, Spain, July 23–27, 2012. Proceedings of the 18th international conference. Berlin: Springer (ISBN 978-3-662-52926-3/hbk; 978-3-662-52927-0/ebook). Springer Proceedings in Mathematics & Statistics 180, 201-221 (2016). MSC: 39A12 39A10 34A34 37C10 PDFBibTeX XMLCite \textit{R. Ortega}, Springer Proc. Math. Stat. 180, 201--221 (2016; Zbl 1355.39009) Full Text: DOI
Si, Wen Existence of analytic invariant curves for a complex planar mapping near resonance. (English) Zbl 1345.37054 Adv. Difference Equ. 2014, Paper No. 308, 9 p. (2014). MSC: 37F99 37D10 39A45 PDFBibTeX XMLCite \textit{W. Si}, Adv. Difference Equ. 2014, Paper No. 308, 9 p. (2014; Zbl 1345.37054) Full Text: DOI
Tomaschek, Jörg; Reich, Ludwig Local solutions of the generalized Dhombres functional equation in a neighbourhood of infinity. (English. French summary) Zbl 1332.30042 ESAIM, Proc. Surv. 46, 233-246 (2014). MSC: 30D05 39B12 39B32 PDFBibTeX XMLCite \textit{J. Tomaschek} and \textit{L. Reich}, ESAIM, Proc. Surv. 46, 233--246 (2014; Zbl 1332.30042) Full Text: DOI
Reich, Ludwig; Tomaschek, Jörg Generalized Dhombres equations in the complex domain a survey. (English. French summary) Zbl 1332.30041 ESAIM, Proc. Surv. 46, 63-82 (2014). MSC: 30D05 39B12 39B32 PDFBibTeX XMLCite \textit{L. Reich} and \textit{J. Tomaschek}, ESAIM, Proc. Surv. 46, 63--82 (2014; Zbl 1332.30041) Full Text: DOI
Reich, Ludwig; Tomaschek, Jörg A remark on Schröder’s equation: formal and analytic linearization of iterative roots of the power series \(f(z)=z\). (English) Zbl 1301.30028 Monatsh. Math. 175, No. 3, 411-427 (2014). MSC: 30D05 39B12 39B32 PDFBibTeX XMLCite \textit{L. Reich} and \textit{J. Tomaschek}, Monatsh. Math. 175, No. 3, 411--427 (2014; Zbl 1301.30028) Full Text: DOI
Prager, W.; Schwaiger, J. A system of two inhomogeneous linear functional equations. (English) Zbl 1299.39021 Acta Math. Hung. 140, No. 4, 377-406 (2013). Reviewer: Pál Burai (Debrecen) MSC: 39B72 39B22 PDFBibTeX XMLCite \textit{W. Prager} and \textit{J. Schwaiger}, Acta Math. Hung. 140, No. 4, 377--406 (2013; Zbl 1299.39021) Full Text: DOI
Kunze, Markus; Ortega, Rafael Twist mappings with non-periodic angles. (English) Zbl 1326.37032 Johnson, Russell (ed.) et al., Stability and bifurcation theory for non-autonomous differential equations, Cetraro, Italy, June 19–25, 2011. Berlin: Springer (ISBN 978-3-642-32905-0/pbk; 978-3-642-32906-7/ebook). Lecture Notes in Mathematics 2065, 265-300 (2013). Reviewer: Antonio Linero Bas (Murcia) MSC: 37E40 39A99 PDFBibTeX XMLCite \textit{M. Kunze} and \textit{R. Ortega}, Lect. Notes Math. 2065, 265--300 (2013; Zbl 1326.37032) Full Text: DOI
Reich, Ludwig; Tomaschek, Jörg Some remarks to the formal and local theory of the generalized Dhombres functional equation. (English) Zbl 1276.30044 Result. Math. 63, No. 1-2, 377-395 (2013). Reviewer: Katsuya Ishizaki (Chiba) MSC: 30D05 39B12 39B32 30B10 PDFBibTeX XMLCite \textit{L. Reich} and \textit{J. Tomaschek}, Result. Math. 63, No. 1--2, 377--395 (2013; Zbl 1276.30044) Full Text: DOI
Flor, Peter; Gruber, Peter M. A note on semigroups, groups and geometric lattices. (English) Zbl 1253.52005 Arch. Math. 93, No. 3, 253-258 (2009). MSC: 52C07 11H06 22A15 39B05 PDFBibTeX XMLCite \textit{P. Flor} and \textit{P. M. Gruber}, Arch. Math. 93, No. 3, 253--258 (2009; Zbl 1253.52005) Full Text: DOI
Reich, Ludwig; Smítal, Jaroslav; Štefánková, Marta Local analytic solutions of the generalized Dhombres functional equation. II. (English) Zbl 1190.39012 J. Math. Anal. Appl. 355, No. 2, 821-829 (2009). Reviewer: Andrzej Smajdor (Kraków) MSC: 39B32 39B12 PDFBibTeX XMLCite \textit{L. Reich} et al., J. Math. Anal. Appl. 355, No. 2, 821--829 (2009; Zbl 1190.39012) Full Text: DOI
Li, Wenrong; Liu, Hanze; Yin, Li Analytic invariant curves for a planar mapping. (English) Zbl 1151.39018 Acta Math. Sin., Engl. Ser. 24, No. 4, 623-630 (2008). Reviewer: Zsolt Páles (Debrecen) MSC: 39B12 39B32 30D05 PDFBibTeX XMLCite \textit{W. Li} et al., Acta Math. Sin., Engl. Ser. 24, No. 4, 623--630 (2008; Zbl 1151.39018) Full Text: DOI
Xu, Bing; Zhang, Weinian Small divisor problem for an analytic \(q\)-difference equation. (English) Zbl 1146.39035 J. Math. Anal. Appl. 342, No. 1, 694-703 (2008). Reviewer: Pavel Rehak (Brno) MSC: 39A13 39B32 39B12 PDFBibTeX XMLCite \textit{B. Xu} and \textit{W. Zhang}, J. Math. Anal. Appl. 342, No. 1, 694--703 (2008; Zbl 1146.39035) Full Text: DOI
Xu, Bing; Zhang, Weinian Analytic solutions of general nonlinear functional equations near resonance. (English) Zbl 1149.39014 J. Math. Anal. Appl. 317, No. 2, 620-633 (2006). Reviewer: Bogdan A. Choczewski (Kraków) MSC: 39B12 39A13 39B32 PDFBibTeX XMLCite \textit{B. Xu} and \textit{W. Zhang}, J. Math. Anal. Appl. 317, No. 2, 620--633 (2006; Zbl 1149.39014) Full Text: DOI
Si, Jianguo; Zhang, Weinian Analytic solutions of a \(q\)-difference equation and applications to iterative equations. (English) Zbl 1067.39035 J. Difference Equ. Appl. 10, No. 11, 955-962 (2004). Reviewer: Nguyen Van Minh (Carrollton) MSC: 39A13 39B12 PDFBibTeX XMLCite \textit{J. Si} and \textit{W. Zhang}, J. Difference Equ. Appl. 10, No. 11, 955--962 (2004; Zbl 1067.39035) Full Text: DOI
Si, Jianguo; Zhang, Weinian Analytic solutions of a nonlinear iterative equation near neutral fixed points and poles. (English) Zbl 1030.39025 J. Math. Anal. Appl. 284, No. 1, 373-388 (2003). Reviewer: S.L.Segal (Rochester) MSC: 39B12 30D05 39B32 PDFBibTeX XMLCite \textit{J. Si} and \textit{W. Zhang}, J. Math. Anal. Appl. 284, No. 1, 373--388 (2003; Zbl 1030.39025) Full Text: DOI
Si, Jianguo; Zhang, Weinian Analytic solutions of a functional equation for invariant curves. (English) Zbl 0992.39019 J. Math. Anal. Appl. 259, No. 1, 83-93 (2001). Reviewer: Borislav Crstici (Timişoara) MSC: 39B12 PDFBibTeX XMLCite \textit{J. Si} and \textit{W. Zhang}, J. Math. Anal. Appl. 259, No. 1, 83--93 (2001; Zbl 0992.39019) Full Text: DOI
Kohda, T.; Fujisaki, H. Jacobian elliptic Chebyshev rational maps. (English) Zbl 1076.39501 Physica D 148, No. 3-4, 242-254 (2001). MSC: 39B12 33E05 37A50 60C05 PDFBibTeX XMLCite \textit{T. Kohda} and \textit{H. Fujisaki}, Physica D 148, No. 3--4, 242--254 (2001; Zbl 1076.39501) Full Text: DOI
Suzuki, Mami Holomorphic solutions of some functional equations. III. (English) Zbl 0979.39014 J. Difference Equ. Appl. 6, No. 4, 369-386 (2000). MSC: 39B42 39A11 PDFBibTeX XMLCite \textit{M. Suzuki}, J. Difference Equ. Appl. 6, No. 4, 369--386 (2000; Zbl 0979.39014) Full Text: DOI
Papaschinopoulos, G.; Schinas, C. J. Stability of a class of nonlinear difference equations. (English) Zbl 0923.39005 J. Math. Anal. Appl. 230, No. 1, 211-222 (1999). Reviewer: P.Talpalaru (Iaşi) MSC: 39A11 PDFBibTeX XMLCite \textit{G. Papaschinopoulos} and \textit{C. J. Schinas}, J. Math. Anal. Appl. 230, No. 1, 211--222 (1999; Zbl 0923.39005) Full Text: DOI
Kooman, R. J. Asymptotic behaviour to solutions to linear recurrences and sequences of Möbius-transformations. (English) Zbl 0933.39015 J. Approximation Theory 93, No. 1, 1-58 (1998). Reviewer: E.Thandapani (Salem) MSC: 39A11 PDFBibTeX XMLCite \textit{R. J. Kooman}, J. Approx. Theory 93, No. 1, 1--58 (1998; Zbl 0933.39015) Full Text: DOI
Meier, Christoph; Senn, Walter; Hauser, Rudolf; Zimmermann, Manfred Strange limits of stability in host-parasitoid systems. (English) Zbl 0803.92024 J. Math. Biol. 32, No. 6, 563-572 (1994). MSC: 92D40 39A10 92D25 PDFBibTeX XMLCite \textit{C. Meier} et al., J. Math. Biol. 32, No. 6, 563--572 (1994; Zbl 0803.92024) Full Text: DOI
Iserles, A. A constructive approach to the Schröder equation. (English) Zbl 0819.65134 J. Comput. Appl. Math. 46, No. 1-2, 301-314 (1993). MSC: 65Q05 65E05 65F40 39B32 PDFBibTeX XMLCite \textit{A. Iserles}, J. Comput. Appl. Math. 46, No. 1--2, 301--314 (1993; Zbl 0819.65134) Full Text: DOI
Bézivin, Jean-Paul On \(q\)- difference functional equations. (Sur les équations fonctionnelles aux \(q\)-différences.) (French) Zbl 0757.39002 Aequationes Math. 43, No. 2-3, 159-176 (1992). Reviewer: S.L.Segal (Rochester) MSC: 39B12 39B32 30D05 PDFBibTeX XMLCite \textit{J.-P. Bézivin}, Aequationes Math. 43, No. 2--3, 159--176 (1992; Zbl 0757.39002) Full Text: DOI EuDML
Bézivin, Jean-Paul Convergence of formal solutions of certain functional equations. (Convergence des solutions formelles de certaines équations fonctionnelles.) (French) Zbl 0762.39012 Aequationes Math. 44, No. 1, 84-99 (1992). Reviewer: K.Baron (Katowice) MSC: 39B32 30D05 30B10 PDFBibTeX XMLCite \textit{J.-P. Bézivin}, Aequationes Math. 44, No. 1, 84--99 (1992; Zbl 0762.39012) Full Text: DOI EuDML
Petek, Peter Cayley’s problem. (English) Zbl 0709.39001 Apl. Mat. 35, No. 2, 140-146 (1990). Reviewer: A.Varga MSC: 39A10 65Q05 65H05 PDFBibTeX XMLCite \textit{P. Petek}, Apl. Mat. 35, No. 2, 140--146 (1990; Zbl 0709.39001) Full Text: EuDML
Bézivin, Jean-Paul Sur les équation fonctionelles aux itérées. (On iterated functional equations). (French) Zbl 0697.39008 Aequationes Math. 39, No. 1, 68-77 (1990). Reviewer: M.C.Zdun MSC: 39B12 30D05 PDFBibTeX XMLCite \textit{J.-P. Bézivin}, Aequationes Math. 39, No. 1, 68--77 (1990; Zbl 0697.39008) Full Text: DOI EuDML
Igusa, Jun-ichi On functional equations of complex powers. (English) Zbl 0599.12017 Invent. Math. 85, 1-29 (1986). Reviewer: S.Raghavan MSC: 11S40 39B52 14L30 22E50 46F12 46F05 14M17 PDFBibTeX XMLCite \textit{J.-i. Igusa}, Invent. Math. 85, 1--29 (1986; Zbl 0599.12017) Full Text: DOI EuDML
Diamond, Phil A stochastic functional equation. (English) Zbl 0359.39001 Aequationes Math. 15, 225-233 (1977). MSC: 39B99 PDFBibTeX XMLCite \textit{P. Diamond}, Aequationes Math. 15, 225--233 (1977; Zbl 0359.39001) Full Text: DOI EuDML
Ware, Buck Infinite dimensional versions of two theorems of Carl Siegel. (English) Zbl 0344.34029 Bull. Am. Math. Soc. 82, 613-615 (1976). MSC: 34C20 58C15 39B99 30D05 PDFBibTeX XMLCite \textit{B. Ware}, Bull. Am. Math. Soc. 82, 613--615 (1976; Zbl 0344.34029) Full Text: DOI
Picon, P. A. Sur les termes nuls d’une suite recurrente cubique. (French) Zbl 0316.65033 Rev. Franc. Automat. Inform. Rech. Operat. 8, Informatique Theor., No.R-3, 47-61 (1974). MSC: 65Q05 39A10 PDFBibTeX XMLCite \textit{P. A. Picon}, Rev. Franc. Automat. Inform. Rech. Operat., R 8, No. 3, 47--61 (1974; Zbl 0316.65033) Full Text: EuDML
Morgan, Christopher L. Addition formulae for field-valued continuous functions on topological groups. (English) Zbl 0289.39010 Aequationes Math. 11, 77-96 (1974). MSC: 39B52 39B99 39B05 18F20 PDFBibTeX XMLCite \textit{C. L. Morgan}, Aequationes Math. 11, 77--96 (1974; Zbl 0289.39010) Full Text: DOI EuDML