Khakimov, Otabek; Mukhamedov, Farrukh Chaotic behavior of the \(p\)-adic Potts-Bethe mapping. II. (English) Zbl 1508.37027 Ergodic Theory Dyn. Syst. 42, No. 11, 3433-3457 (2022). MSC: 37B05 37B10 12J12 39A70 PDFBibTeX XMLCite \textit{O. Khakimov} and \textit{F. Mukhamedov}, Ergodic Theory Dyn. Syst. 42, No. 11, 3433--3457 (2022; Zbl 1508.37027) Full Text: DOI arXiv
Keshavarz, Vahid; Jahedi, Sedigheh Hyperstability of orthogonally 3-Lie homomorphism: an orthogonally fixed point approach. (English) Zbl 1496.46078 Daras, Nicholas J. (ed.) et al., Approximation and computation in science and engineering. Cham: Springer. Springer Optim. Appl. 180, 477-485 (2022). MSC: 46S10 39B62 39B52 47H10 12J25 PDFBibTeX XMLCite \textit{V. Keshavarz} and \textit{S. Jahedi}, Springer Optim. Appl. 180, 477--485 (2022; Zbl 1496.46078) Full Text: DOI arXiv
Roques, Julien On the archimedean and nonarchimedean \(q\)-Gevrey orders. (English) Zbl 1485.12009 Proc. Am. Math. Soc. 150, No. 3, 1167-1176 (2022). MSC: 12H10 12J25 39A13 PDFBibTeX XMLCite \textit{J. Roques}, Proc. Am. Math. Soc. 150, No. 3, 1167--1176 (2022; Zbl 1485.12009) Full Text: DOI
Muranova, Anna Dual Cheeger constant for weighted graphs over ordered fields. arXiv:2211.01654 Preprint, arXiv:2211.01654 [math.CO] (2022). MSC: 05C50 05C22 47A75 12J15 39A12 BibTeX Cite \textit{A. Muranova}, ``Dual Cheeger constant for weighted graphs over ordered fields'', Preprint, arXiv:2211.01654 [math.CO] (2022) Full Text: arXiv OA License
Glavosits, T.; Karácsony, Zs. Sums and products of intervals in ordered semigroups. (English) Zbl 07660050 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 29, No. 2, 187-198 (2021). MSC: 06F05 39B22 03E04 06F15 12J15 PDFBibTeX XMLCite \textit{T. Glavosits} and \textit{Zs. Karácsony}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 29, No. 2, 187--198 (2021; Zbl 07660050) Full Text: DOI
Wang, Zhihua; Park, Choonkil; Shin, Dong Yun Additive \(\rho \)-functional inequalities in non-Archimedean 2-normed spaces. (English) Zbl 1484.39030 AIMS Math. 6, No. 2, 1905-1919 (2021). MSC: 39B72 39B62 39B52 12J25 32P05 PDFBibTeX XMLCite \textit{Z. Wang} et al., AIMS Math. 6, No. 2, 1905--1919 (2021; Zbl 1484.39030) Full Text: DOI
Goncharuk, A. B. Implicit linear difference equations over a non-Archimedean ring. (English) Zbl 1488.39001 Visn. Khark. Univ., Ser. Mat. Prykl. Mat. Mekh. 93, 18-33 (2021). MSC: 39A06 12J25 PDFBibTeX XMLCite \textit{A. B. Goncharuk}, Visn. Khark. Univ., Ser. Mat. Prykl. Mat. Mekh. 93, 18--33 (2021; Zbl 1488.39001) Full Text: DOI
Peran, Dino Normal forms of parabolic logarithmic transseries. arXiv:2112.12187 Preprint, arXiv:2112.12187 [math.CA] (2021). MSC: 34C20 37C25 47H10 39B12 46A19 12J15 BibTeX Cite \textit{D. Peran}, ``Normal forms of parabolic logarithmic transseries'', Preprint, arXiv:2112.12187 [math.CA] (2021) Full Text: arXiv OA License
Muranova, Anna On the notion of effective impedance. (English) Zbl 1462.05164 Oper. Matrices 14, No. 3, 723-741 (2020). MSC: 05C22 05C81 05C25 34B45 39A12 12J15 94C05 PDFBibTeX XMLCite \textit{A. Muranova}, Oper. Matrices 14, No. 3, 723--741 (2020; Zbl 1462.05164) Full Text: DOI arXiv
Gefter, S. L.; Martseniuk, V. V.; Goncharuk, A. B.; Piven’, A. L. Analogue of the Cramer rule for an implicit linear second order difference equation over the ring of integers. (English. Russian original) Zbl 1442.39003 J. Math. Sci., New York 244, No. 4, 601-607 (2020); translation from Probl. Mat. Anal. 101, 57-62 (2019). Reviewer: Ioannis P. Stavroulakis (Ioannina) MSC: 39A10 12J12 PDFBibTeX XMLCite \textit{S. L. Gefter} et al., J. Math. Sci., New York 244, No. 4, 601--607 (2020; Zbl 1442.39003); translation from Probl. Mat. Anal. 101, 57--62 (2019) Full Text: DOI
Kumar, B. V. Senthil; Sabarinathan, S.; Rassias, M. J. Stabilities of MIQD and MIQA functional equations via fixed point technique. (English) Zbl 1450.39017 Anastassiou, George A. (ed.) et al., Frontiers in functional equations and analytic inequalities. Cham: Springer. 143-152 (2019). Reviewer: Maryam Amyari (Mashhad) MSC: 39B82 39B52 47H10 12J25 26E30 PDFBibTeX XMLCite \textit{B. V. S. Kumar} et al., in: Frontiers in functional equations and analytic inequalities. Cham: Springer. 143--152 (2019; Zbl 1450.39017) Full Text: DOI
Paokanta, Siriluk; Shim, Eon Hwa Additive \(\rho\)-functional equations in non-Archimedean Banach space. (English) Zbl 1401.39026 J. Korean Soc. Math. Educ., Ser. B, Pure Appl. Math. 25, No. 3, 219-227 (2018). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 39B52 39B82 46S10 39B62 47S10 12J25 PDFBibTeX XMLCite \textit{S. Paokanta} and \textit{E. H. Shim}, J. Korean Soc. Math. Educ., Ser. B, Pure Appl. Math. 25, No. 3, 219--227 (2018; Zbl 1401.39026) Full Text: DOI
Mukhamedov, Farrukh; Khakimov, Otabek Chaotic behavior of the \(p\)-adic Potts-Bethe mapping. (English) Zbl 1372.37022 Discrete Contin. Dyn. Syst. 38, No. 1, 231-245 (2018). MSC: 37B05 37B10 12J12 39A70 PDFBibTeX XMLCite \textit{F. Mukhamedov} and \textit{O. Khakimov}, Discrete Contin. Dyn. Syst. 38, No. 1, 231--245 (2018; Zbl 1372.37022) Full Text: DOI arXiv
Ciepliński, Krzysztof On approximate homomorphisms of ternary semigroups. (English) Zbl 1412.12006 J. Nonlinear Sci. Appl. 10, No. 8, 4071-4076 (2017). MSC: 12J25 17A40 39B52 39B82 PDFBibTeX XMLCite \textit{K. Ciepliński}, J. Nonlinear Sci. Appl. 10, No. 8, 4071--4076 (2017; Zbl 1412.12006) Full Text: DOI
Mukhamedov, Farrukh; Akın, Hasan; Dogan, Mutlay On chaotic behaviour of the \(p\)-adic generalized Ising mapping and its application. (English) Zbl 1388.37085 J. Difference Equ. Appl. 23, No. 9, 1542-1561 (2017). Reviewer: Franco Vivaldi (London) MSC: 37P05 37A60 82B26 12J12 39A70 82B20 11S82 PDFBibTeX XMLCite \textit{F. Mukhamedov} et al., J. Difference Equ. Appl. 23, No. 9, 1542--1561 (2017; Zbl 1388.37085) Full Text: DOI arXiv
Belaïdi, Benharrat; Bouabdelli, Rabab; Boutabaa, Abdelbaki Ultrametric \(q\)-difference equations and \(q\)-Wronskian. (English) Zbl 1363.12005 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 58(106), No. 2, 137-145 (2015). MSC: 12J25 39A13 46S10 PDFBibTeX XMLCite \textit{B. Belaïdi} et al., Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 58(106), No. 2, 137--145 (2015; Zbl 1363.12005)
Park, C. Quadratic \(\rho\)-functional inequalities in non-Archimedean normed spaces. (English) Zbl 1403.39025 J. Contemp. Math. Anal., Armen. Acad. Sci. 50, No. 4, 187-195 (2015) and Izv. Nats. Akad. Nauk Armen., Mat. 50, No. 4, 68-80 (2015). Reviewer: Snezhana Hristova (Plovdiv) MSC: 39B62 46S10 39B52 47S10 12J25 PDFBibTeX XMLCite \textit{C. Park}, J. Contemp. Math. Anal., Armen. Acad. Sci. 50, No. 4, 187--195 (2015; Zbl 1403.39025) Full Text: DOI
Yun, Sungsik Orthogonality and linear mappings in Banach modules. (English) Zbl 1333.39028 J. Korean Soc. Math. Educ., Ser. B, Pure Appl. Math. 22, No. 4, 343-357 (2015). MSC: 39B55 46S10 47H10 39B52 47S10 30G06 46H25 46L05 12J25 PDFBibTeX XMLCite \textit{S. Yun}, J. Korean Soc. Math. Educ., Ser. B, Pure Appl. Math. 22, No. 4, 343--357 (2015; Zbl 1333.39028) Full Text: DOI
Mukhamedov, Farrukh; Dogan, Mutlay On \(P\)-adic \(\lambda\)-model on the Cayley tree. II: Phase transitions. (English) Zbl 1321.82020 Rep. Math. Phys. 75, No. 1, 25-46 (2015). Reviewer: Guy Jumarie (Montréal) MSC: 82B26 46S10 12J12 39A70 47H10 60K35 PDFBibTeX XMLCite \textit{F. Mukhamedov} and \textit{M. Dogan}, Rep. Math. Phys. 75, No. 1, 25--46 (2015; Zbl 1321.82020) Full Text: DOI
Park, Choonkil Additive \(\rho \)-functional inequalities in non-Archimedean normed spaces. (English) Zbl 1323.39023 J. Math. Inequal. 9, No. 2, 397-407 (2015). Reviewer: József Sándor (Cluj-Napoca) MSC: 39B62 46S10 39B52 47S10 12J25 39B82 PDFBibTeX XMLCite \textit{C. Park}, J. Math. Inequal. 9, No. 2, 397--407 (2015; Zbl 1323.39023) Full Text: DOI Link
Mukhamedov, Farrukh; Khakimov, Otabek On unconventional limit sets of contractive functions on \(\mathbb Z_p\). arXiv:1510.03739 Preprint, arXiv:1510.03739 [math.DS] (2015). MSC: 46S10 12J12 39A70 47H10 60K35 BibTeX Cite \textit{F. Mukhamedov} and \textit{O. Khakimov}, ``On unconventional limit sets of contractive functions on $\mathbb Z_p$'', Preprint, arXiv:1510.03739 [math.DS] (2015) Full Text: arXiv OA License
Mukhamedov, Farrukh; Akin, Hasan Gibbs measures and free energies of the Ising-Vannimenus Model on the Cayley tree. arXiv:1504.00755 Preprint, arXiv:1504.00755 [math-ph] (2015). MSC: 46S10 82B26 12J12 39A70 47H10 60K35 BibTeX Cite \textit{F. Mukhamedov} and \textit{H. Akin}, ``Gibbs measures and free energies of the Ising-Vannimenus Model on the Cayley tree'', Preprint, arXiv:1504.00755 [math-ph] (2015) Full Text: arXiv OA License
Park, Choonkil Additive \(\rho\)-functional inequalities. (English) Zbl 1300.39008 J. Nonlinear Sci. Appl. 7, No. 5, 296-310 (2014). MSC: 39B62 39B52 47S10 46S10 12J25 PDFBibTeX XMLCite \textit{C. Park}, J. Nonlinear Sci. Appl. 7, No. 5, 296--310 (2014; Zbl 1300.39008) Full Text: DOI
Kenary, Hassan Azadi; Park, Choonkil; Shin, Dong Yun Orthogonal stability of an additive functional equation in Banach modules over a \(C^*\)-algebra. (English) Zbl 1279.39016 J. Comput. Anal. Appl. 15, No. 6, 1057-1068 (2013). Reviewer: Themistocles M. Rassias (Athens) MSC: 39B82 39B55 46S10 39B52 46G25 46L05 12J25 PDFBibTeX XMLCite \textit{H. A. Kenary} et al., J. Comput. Anal. Appl. 15, No. 6, 1057--1068 (2013; Zbl 1279.39016)
Vahidi, Javad; Park, Choonkil; Saadati, Reza A functional equation related to inner product spaces in non-Archimedean \(\mathcal L\)-random normed spaces. (English) Zbl 1274.46132 J. Inequal. Appl. 2012, Paper No. 168, 16 p. (2012). MSC: 46S10 39B52 47S10 26E30 12J25 PDFBibTeX XMLCite \textit{J. Vahidi} et al., J. Inequal. Appl. 2012, Paper No. 168, 16 p. (2012; Zbl 1274.46132) Full Text: DOI
Park, Choonkil; Kim, Gwang Hui; Lee, Jung Rye; Shin, Dong Yun Orthogonally additive-additive and orthogonally quadratic-quadratic functional equation in orthogonality spaces. (English) Zbl 1273.39021 J. Inequal. Appl. 2012, Paper No. 139, 17 p. (2012). MSC: 39B55 46S10 39B72 39B52 54E40 47H10 47S10 26E30 12J25 46H25 PDFBibTeX XMLCite \textit{C. Park} et al., J. Inequal. Appl. 2012, Paper No. 139, 17 p. (2012; Zbl 1273.39021) Full Text: DOI
Park, Choonkil; Cho, Yeol Je; Kenary, Hassan Azadi Orthogonal stability of a generalized quadratic functional equation in non-Archimedean spaces. (English) Zbl 1258.39015 J. Comput. Anal. Appl. 14, No. 3, 526-535 (2012). Reviewer: Jacek Chmieliński (Kraków) MSC: 39B82 39B52 39B55 46S10 30G06 47H10 47S10 12J25 PDFBibTeX XMLCite \textit{C. Park} et al., J. Comput. Anal. Appl. 14, No. 3, 526--535 (2012; Zbl 1258.39015)
Mayerhofer, Eberhard On the functional equation af \(Af^2 + Bg^2 = 1\) on the field of complex \(p\)-adic numbers. (English) Zbl 1268.39027 \(p\)-Adic Numbers Ultrametric Anal. Appl. 2, No. 1, 68-76 (2010). MSC: 39B52 11S80 12J25 30G06 PDFBibTeX XMLCite \textit{E. Mayerhofer}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 2, No. 1, 68--76 (2010; Zbl 1268.39027) Full Text: DOI arXiv
Gusić, Ivica A note on certain maps between ordered fields. (English) Zbl 1242.12007 J. Math. Inequal. 3, No. 4, 657-661 (2009). Reviewer: Ali Benhissi (Monastir) MSC: 12J15 39B72 PDFBibTeX XMLCite \textit{I. Gusić}, J. Math. Inequal. 3, No. 4, 657--661 (2009; Zbl 1242.12007) Full Text: DOI Link
Kaiser, Zoltán On stability of the monomial functional equation in normed spaces over fields with valuation. (English) Zbl 1101.39018 J. Math. Anal. Appl. 322, No. 2, 1188-1198 (2006). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 39B82 39B52 12J20 PDFBibTeX XMLCite \textit{Z. Kaiser}, J. Math. Anal. Appl. 322, No. 2, 1188--1198 (2006; Zbl 1101.39018) Full Text: DOI
Boros, Zoltán; Kaiser, Zoltán Note on approximate ring homomorphisms in algebras over fields with valuations. (English) Zbl 1108.39021 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 24, 119-124 (2004). MSC: 39B52 39B82 12J10 PDFBibTeX XMLCite \textit{Z. Boros} and \textit{Z. Kaiser}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 24, 119--124 (2004; Zbl 1108.39021)
Kaiser, Z. On stability of the Cauchy equation in normed spaces over fields with valuation. (English) Zbl 1084.39026 Publ. Math. Debr. 64, No. 1-2, 189-200 (2004). Reviewer: Gyula Maksa (Debrecen) MSC: 39B82 39B52 12J10 12J12 PDFBibTeX XMLCite \textit{Z. Kaiser}, Publ. Math. Debr. 64, No. 1--2, 189--200 (2004; Zbl 1084.39026)
Nilsson, Marcus Fuzzy cycles of \(p\)-adic monomial dynamical systems. (English) Zbl 1086.12005 Far East J. Dyn. Syst. 5, No. 2, 149-173 (2003). MSC: 12J25 39A11 PDFBibTeX XMLCite \textit{M. Nilsson}, Far East J. Dyn. Syst. 5, No. 2, 149--173 (2003; Zbl 1086.12005)
Carletti, Timoteo The Lagrange inversion formula on non-Archimedean fields. Non-analytical form of differential and finite difference equations. (English) Zbl 1036.37017 Discrete Contin. Dyn. Syst. 9, No. 4, 835-858 (2003). Reviewer: Alois Klíč (Praha) MSC: 37F50 34A25 39A13 37E30 05C05 12J25 PDFBibTeX XMLCite \textit{T. Carletti}, Discrete Contin. Dyn. Syst. 9, No. 4, 835--858 (2003; Zbl 1036.37017) Full Text: DOI arXiv
Gaĭshun, I. V. Stability of two-parameter discrete systems defined over topological fields. (Russian. English summary) Zbl 1177.39023 Dokl. Nats. Akad. Nauk Belarusi 46, No. 4, 27-29 (2002). MSC: 39A30 12J05 93D05 PDFBibTeX XMLCite \textit{I. V. Gaĭshun}, Dokl. Nats. Akad. Nauk Belarusi 46, No. 4, 27--29 (2002; Zbl 1177.39023)
Boros, Zoltán Stability of the multiplicative Cauchy functional equation in ordered fields. (English) Zbl 0999.39025 Daróczy, Zoltán (ed.) et al., Functional equations–results and advances. Dordrecht: Kluwer Academic Publishers. Adv. Math., Dordr. 3, 91-98 (2002). Reviewer: Th.M.Rassias (Athens) MSC: 39B82 39B52 20K30 12J15 PDFBibTeX XMLCite \textit{Z. Boros}, in: Functional equations---results and advances. Dordrecht: Kluwer Academic Publishers. 91--98 (2002; Zbl 0999.39025)
Matsutani, Shigeki \(p\)-adic difference-difference Lotka-Volterra equation and ultra-discrete limit. (English) Zbl 0997.12012 Int. J. Math. Math. Sci. 27, No. 4, 251-260 (2001). Reviewer: Anatoly N.Kochubei (Kyïv) MSC: 12H25 35R10 12J20 39A05 PDFBibTeX XMLCite \textit{S. Matsutani}, Int. J. Math. Math. Sci. 27, No. 4, 251--260 (2001; Zbl 0997.12012) Full Text: DOI arXiv EuDML
García-Roig, J. L. A generalization of Ostrowski’s theorem on ultrametric inequalities. (English) Zbl 0723.12008 Aequationes Math. 41, No. 1, 2-12 (1991). Reviewer: G.Rangan (Madras) MSC: 12J25 39B05 PDFBibTeX XMLCite \textit{J. L. García-Roig}, Aequationes Math. 41, No. 1, 2--12 (1991; Zbl 0723.12008) Full Text: DOI EuDML
Perelli, A.; Zannier, U. On a functional equation connected with homomorphisms from a group into a field. (Italian. English summary) Zbl 0601.39012 Boll. Unione Mat. Ital., VI. Ser., B 5, 235-245 (1986). Reviewer: N.Ghircoiaşiu MSC: 39B52 12J99 PDFBibTeX XMLCite \textit{A. Perelli} and \textit{U. Zannier}, Boll. Unione Mat. Ital., VI. Ser., B 5, 235--245 (1986; Zbl 0601.39012)
Duval, Anner Lemmes de Hensel et factorisation formelle pour les opérateurs aux différences. (French) Zbl 0543.12018 Funkc. Ekvacioj, Ser. Int. 26, 349-368 (1983). Reviewer: E. V. Pankrat’ev (Moskva) MSC: 12H10 12J25 39A70 47B39 PDFBibTeX XMLCite \textit{A. Duval}, Funkc. Ekvacioj, Ser. Int. 26, 349--368 (1983; Zbl 0543.12018)
Lajko, K. Generalized difference-property for functions of several variables. (English) Zbl 0407.39005 Publ. Math. Debr. 25, 169-176 (1978). MSC: 39B52 12J15 PDFBibTeX XMLCite \textit{K. Lajko}, Publ. Math. Debr. 25, 169--176 (1978; Zbl 0407.39005)
Daroczy, Z.; Lajko, K.; Szekelyhidi, L. Functional equations on ordered fields. (English) Zbl 0372.39004 Publ. Math. Debr. 24, 173-179 (1977). MSC: 39B52 12J15 PDFBibTeX XMLCite \textit{Z. Daroczy} et al., Publ. Math. Debr. 24, 173--179 (1977; Zbl 0372.39004)