Pokkakkillath, Sareena; Giesl, Peter Construction of contraction metrics for discrete-time dynamical systems using meshfree collocation. (English) Zbl 07807501 Discrete Contin. Dyn. Syst., Ser. B 29, No. 4, 2043-2071 (2024). MSC: 65Q10 65D12 39A30 PDFBibTeX XMLCite \textit{S. Pokkakkillath} and \textit{P. Giesl}, Discrete Contin. Dyn. Syst., Ser. B 29, No. 4, 2043--2071 (2024; Zbl 07807501) Full Text: DOI
Jiwari, Ram Local radial basis function-finite difference based algorithms for singularly perturbed Burgers’ model. (English) Zbl 07529655 Math. Comput. Simul. 198, 106-126 (2022). MSC: 65-XX 39-XX PDFBibTeX XMLCite \textit{R. Jiwari}, Math. Comput. Simul. 198, 106--126 (2022; Zbl 07529655) Full Text: DOI
Christ, Michael Young’s inequality sharpened. (English) Zbl 1479.39030 Ciatti, Paolo (ed.) et al., Geometric aspects of harmonic analysis. Proceedings of the INdAM meeting, Cortona, Italy, June 25–29, 2018. Cham: Springer. Springer INdAM Ser. 45, 261-298 (2021). MSC: 39B62 39B52 PDFBibTeX XMLCite \textit{M. Christ}, Springer INdAM Ser. 45, 261--298 (2021; Zbl 1479.39030) Full Text: DOI
Bahyrycz, Anna; Sikorska, Justyna On a general bilinear functional equation. (English) Zbl 1479.39029 Aequationes Math. 95, No. 6, 1257-1279 (2021). MSC: 39B52 39B72 PDFBibTeX XMLCite \textit{A. Bahyrycz} and \textit{J. Sikorska}, Aequationes Math. 95, No. 6, 1257--1279 (2021; Zbl 1479.39029) Full Text: DOI
Liu, Na; Li, Song; Yu, Zhiheng Further discussion on solutions of Babbage equation. (Chinese. English summary) Zbl 1474.39056 J. Sichuan Norm. Univ., Nat. Sci. 43, No. 6, 781-786 (2020). MSC: 39B12 PDFBibTeX XMLCite \textit{N. Liu} et al., J. Sichuan Norm. Univ., Nat. Sci. 43, No. 6, 781--786 (2020; Zbl 1474.39056) Full Text: DOI
Sailaubek, D. A.; Rubtsova, O. A.; Kukulin, V. I. Complex-range gaussians as a basis for treatment of charged particle scattering. (English) Zbl 1437.81112 Orr, N. A. (ed.) et al., Recent progress in few-body physics. Proceedings of the 22nd international conference on few-body problems in physics, FB22, Caen, France, July 9–13, 2018. Cham: Springer. Springer Proc. Phys. 238, 287-291 (2020). MSC: 81U05 39A12 81V35 81V10 PDFBibTeX XMLCite \textit{D. A. Sailaubek} et al., Springer Proc. Phys. 238, 287--291 (2020; Zbl 1437.81112) Full Text: DOI
Bingham, N. H.; Ostaszewski, A. J. Additivity, subadditivity and linearity: automatic continuity and quantifier weakening. (English) Zbl 1384.39015 Indag. Math., New Ser. 29, No. 2, 687-713 (2018). MSC: 39B55 PDFBibTeX XMLCite \textit{N. H. Bingham} and \textit{A. J. Ostaszewski}, Indag. Math., New Ser. 29, No. 2, 687--713 (2018; Zbl 1384.39015) Full Text: DOI arXiv Link
Chernov, I. A. On solvability of one difference equation. (English) Zbl 1381.39002 Probl. Anal. Issues Anal. 6(24), No. 1, 41-45 (2017). MSC: 39A06 PDFBibTeX XMLCite \textit{I. A. Chernov}, Probl. Anal. Issues Anal. 6(24), No. 1, 41--45 (2017; Zbl 1381.39002) Full Text: DOI MNR
Mrowiec, Jacek; Rajba, Teresa; Wąsowicz, Szymon On the classes of higher-order Jensen-convex functions and Wright-convex functions. II. (English) Zbl 1402.26007 J. Math. Anal. Appl. 450, No. 2, 1144-1147 (2017). MSC: 26A51 39B62 PDFBibTeX XMLCite \textit{J. Mrowiec} et al., J. Math. Anal. Appl. 450, No. 2, 1144--1147 (2017; Zbl 1402.26007) Full Text: DOI arXiv
Scheicher, Martin Gröbner bases and their application to the Cauchy problem on finitely generated affine monoids. (English) Zbl 1349.13061 J. Symb. Comput. 80, Part 2, 416-450 (2017). MSC: 13P10 39A06 PDFBibTeX XMLCite \textit{M. Scheicher}, J. Symb. Comput. 80, Part 2, 416--450 (2017; Zbl 1349.13061) Full Text: DOI
Jabłoński, Wojciech Additive iterative roots of identity and Hamel bases. (English) Zbl 1347.39022 Aequationes Math. 90, No. 1, 133-145 (2016). Reviewer: Victor V. Goryainov (Moscow) MSC: 39B12 39B52 47A62 PDFBibTeX XMLCite \textit{W. Jabłoński}, Aequationes Math. 90, No. 1, 133--145 (2016; Zbl 1347.39022) Full Text: DOI
Leĭnartas, E. K.; Rogozina, M. S. Solvability of the Cauchy problem for a polynomial difference operator and monomial bases for the quotients of a polynomial ring. (English. Russian original) Zbl 1362.39026 Sib. Math. J. 56, No. 1, 92-100 (2015); translation from Sib. Mat. Zh. 56, No. 1, 111-121 (2015). Reviewer: Milivoje Lukic (Toronto) MSC: 39A70 PDFBibTeX XMLCite \textit{E. K. Leĭnartas} and \textit{M. S. Rogozina}, Sib. Math. J. 56, No. 1, 92--100 (2015; Zbl 1362.39026); translation from Sib. Mat. Zh. 56, No. 1, 111--121 (2015) Full Text: DOI
Li, Jiawei Finite pseudo-differential operators. (English) Zbl 1317.47050 J. Pseudo-Differ. Oper. Appl. 6, No. 2, 205-213 (2015). MSC: 47G30 42B10 39A12 PDFBibTeX XMLCite \textit{J. Li}, J. Pseudo-Differ. Oper. Appl. 6, No. 2, 205--213 (2015; Zbl 1317.47050) Full Text: DOI
Šepitka, Peter; Šimon Hilscher, Roman Recessive solutions for nonoscillatory discrete symplectic systems. (English) Zbl 1307.39007 Linear Algebra Appl. 469, 243-275 (2015). MSC: 39A21 39A12 37J05 34B24 15A09 93B05 PDFBibTeX XMLCite \textit{P. Šepitka} and \textit{R. Šimon Hilscher}, Linear Algebra Appl. 469, 243--275 (2015; Zbl 1307.39007) Full Text: DOI
Baron, Karol On additive involutions and Hamel bases. (English) Zbl 1296.39023 Aequationes Math. 87, No. 1-2, 159-163 (2014). Reviewer: Andrzej Smajdor (Kraków) MSC: 39B52 PDFBibTeX XMLCite \textit{K. Baron}, Aequationes Math. 87, No. 1--2, 159--163 (2014; Zbl 1296.39023) Full Text: DOI
Zima, Eugene V. Accelerating indefinite summation: simple classes of summands. (English) Zbl 1319.68260 Math. Comput. Sci. 7, No. 4, 455-472 (2013). MSC: 68W30 39-04 39A05 PDFBibTeX XMLCite \textit{E. V. Zima}, Math. Comput. Sci. 7, No. 4, 455--472 (2013; Zbl 1319.68260) Full Text: DOI
Burai, Pál; Házy, Attila; Juhász, Tibor A composite functional equation from algebraic aspect. (English) Zbl 1286.39010 Aequationes Math. 86, No. 1-2, 57-64 (2013). Reviewer: Prasanna Sahoo (Louisville) MSC: 39B52 39B12 PDFBibTeX XMLCite \textit{P. Burai} et al., Aequationes Math. 86, No. 1--2, 57--64 (2013; Zbl 1286.39010) Full Text: DOI Link
Li, Wenliang Solving for the time-dependent multi-configuration Hartree-Fock equations based on sine-discrete variable representation. (English) Zbl 1269.81229 J. Math. Chem. 51, No. 6, 1521-1531 (2013). MSC: 81V80 81-04 39A12 65L06 PDFBibTeX XMLCite \textit{W. Li}, J. Math. Chem. 51, No. 6, 1521--1531 (2013; Zbl 1269.81229) Full Text: DOI
Khrennikov, Andrei; Yurova, Ekaterina Criteria of measure-preserving for \(p\)-adic dynamical systems in terms of the van der Put basis. (English) Zbl 1278.37061 J. Number Theory 133, No. 2, 484-491 (2013). Reviewer: Masataka Kanki (Tokyo) MSC: 37P20 39A12 PDFBibTeX XMLCite \textit{A. Khrennikov} and \textit{E. Yurova}, J. Number Theory 133, No. 2, 484--491 (2013; Zbl 1278.37061) Full Text: DOI arXiv
Baron, Karol On continuous involutions and Hamel bases. (English) Zbl 1262.39026 Ann. Math. Sil. 25(2011), 45-48 (2012). Reviewer: Mihály Bessenyei (Debrecen) MSC: 39B12 39B52 26A18 46A03 46A35 PDFBibTeX XMLCite \textit{K. Baron}, Ann. Math. Sil. 25, 45--48 (2012; Zbl 1262.39026)
Nikodem, Kazimierz; Rajba, Teresa; Wąsowicz, Szymon On the classes of higher-order Jensen-convex functions and Wright-convex functions. (English) Zbl 1259.26010 J. Math. Anal. Appl. 396, No. 1, 261-269 (2012). Reviewer: Krzysztof Ciepliński (Kraków) MSC: 26A51 39B62 PDFBibTeX XMLCite \textit{K. Nikodem} et al., J. Math. Anal. Appl. 396, No. 1, 261--269 (2012; Zbl 1259.26010) Full Text: DOI arXiv
Leśniak, Zbigniew; Shi, Yong-Guo One class of planar rational involutions. (English) Zbl 1235.39012 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 17, 6097-6104 (2011). Reviewer: Jens Schwaiger (Graz) MSC: 39B12 13F20 PDFBibTeX XMLCite \textit{Z. Leśniak} and \textit{Y.-G. Shi}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 17, 6097--6104 (2011; Zbl 1235.39012) Full Text: DOI
Ahmed, A. M. Global attractivity of a higher order rational difference equation. (English) Zbl 1184.39001 J. Pure Appl. Math., Adv. Appl. 2, No. 1, 19-32 (2009). Reviewer: Lothar Berg (Rostock) MSC: 39A20 PDFBibTeX XMLCite \textit{A. M. Ahmed}, J. Pure Appl. Math., Adv. Appl. 2, No. 1, 19--32 (2009; Zbl 1184.39001)
Guan, Yujing; He, Tian-Xiao Characterization of compactly supported refinable splines with integer matrix. (English) Zbl 1176.42026 Appl. Anal. 88, No. 9, 1397-1407 (2009). MSC: 42C40 39A70 41A15 41A30 65D07 65D18 65T60 PDFBibTeX XMLCite \textit{Y. Guan} and \textit{T.-X. He}, Appl. Anal. 88, No. 9, 1397--1407 (2009; Zbl 1176.42026) Full Text: DOI
Hilscher, Roman; Zeidan, Vera Multiplicities of focal points for discrete symplectic systems: revisited. (English) Zbl 1188.39005 J. Difference Equ. Appl. 15, No. 10, 1001-1010 (2009). Reviewer: Weinian Zhang (Sichuan) MSC: 39A12 15A18 34C10 PDFBibTeX XMLCite \textit{R. Hilscher} and \textit{V. Zeidan}, J. Difference Equ. Appl. 15, No. 10, 1001--1010 (2009; Zbl 1188.39005) Full Text: DOI
Hilscher, Roman; Zeidan, Vera Oscillation results for time scale symplectic systems. (English) Zbl 1172.39010 Bohner, Martin (ed.) et al., Difference equations and applications. Proceedings of the fourteenth international conference on difference equations and applications (ICDEA), Istanbul, Turkey, July 21–25, 2008. Istanbul: Bahçeşehir University Press (ISBN 978-975-6437-80-3/pbk). 203-210 (2009). MSC: 39A11 39A12 37J10 PDFBibTeX XMLCite \textit{R. Hilscher} and \textit{V. Zeidan}, in: Difference equations and applications. Proceedings of the fourteenth international conference on difference equations and applications (ICDEA), Istanbul, Turkey, July 21--25, 2008. Istanbul: Bahçeşehir University Press. 203--210 (2009; Zbl 1172.39010)
Bourgeois, Gerald Algebraic systems of matrices and Gröbner basis theory. (English) Zbl 1161.39021 Linear Algebra Appl. 430, No. 8-9, 2157-2169 (2009). Reviewer: Sheng Chen (Harbin) MSC: 39B42 13P10 15A30 PDFBibTeX XMLCite \textit{G. Bourgeois}, Linear Algebra Appl. 430, No. 8--9, 2157--2169 (2009; Zbl 1161.39021) Full Text: DOI
Giesl, Peter Construction of a local and global Lyapunov function for discrete dynamical systems using radial basis functions. (English) Zbl 1162.39006 J. Approx. Theory 153, No. 2, 184-211 (2008). Reviewer: Stefan Balint (Timişoara) MSC: 39A11 37B25 37C25 39A12 PDFBibTeX XMLCite \textit{P. Giesl}, J. Approx. Theory 153, No. 2, 184--211 (2008; Zbl 1162.39006) Full Text: DOI
Hilscher, Roman; Zeidan, Vera Riccati equations for abnormal time scale quadratic functionals. (English) Zbl 1355.49031 J. Differ. Equations 244, No. 6, 1410-1447 (2008). MSC: 49N10 34N05 39A10 PDFBibTeX XMLCite \textit{R. Hilscher} and \textit{V. Zeidan}, J. Differ. Equations 244, No. 6, 1410--1447 (2008; Zbl 1355.49031) Full Text: DOI
Hilscher, Roman; Zeidan, Vera Applications of time scale symplectic systems without normality. (English) Zbl 1145.39006 J. Math. Anal. Appl. 340, No. 1, 451-465 (2008). Reviewer: Dingyong Bai (Guangzhou) MSC: 39A12 37J10 15A24 PDFBibTeX XMLCite \textit{R. Hilscher} and \textit{V. Zeidan}, J. Math. Anal. Appl. 340, No. 1, 451--465 (2008; Zbl 1145.39006) Full Text: DOI
Oberst, Ulrich; Pauer, Franz Solving systems of linear partial difference and differential equations with constant coefficients using Gröbner bases. (English) Zbl 1260.39010 Rosenkranz, Markus (ed.) et al., Gröbner bases in symbolic analysis. Based on talks delivered at the special semester on Gröbner bases and related methods, Linz, Austria, May 2006. Berlin: Walter de Gruyter (ISBN 978-3-11-019323-7/hbk). Radon Series on Computational and Applied Mathematics 2, 23-41 (2007). MSC: 39A14 35E20 13P10 93C20 PDFBibTeX XMLCite \textit{U. Oberst} and \textit{F. Pauer}, Radon Ser. Comput. Appl. Math. 2, 23--41 (2007; Zbl 1260.39010)
Giesl, Peter On the determination of the basin of attraction of discrete dynamical systems. (English) Zbl 1120.39018 J. Difference Equ. Appl. 13, No. 6, 523-546 (2007). Reviewer: Fozi Dannan (Damascus) MSC: 39A12 39A11 37C25 65Q05 37C70 PDFBibTeX XMLCite \textit{P. Giesl}, J. Difference Equ. Appl. 13, No. 6, 523--546 (2007; Zbl 1120.39018) Full Text: DOI
Došlý, Ondřej; Kratz, Werner A Sturmian separation theorem for symplectic difference systems. (English) Zbl 1107.39021 J. Math. Anal. Appl. 325, No. 1, 333-341 (2007). Reviewer: Yuming Chen (Waterloo) MSC: 39A12 37J05 PDFBibTeX XMLCite \textit{O. Došlý} and \textit{W. Kratz}, J. Math. Anal. Appl. 325, No. 1, 333--341 (2007; Zbl 1107.39021) Full Text: DOI
Hilscher, R. Comparison results for solutions of time scale matrix Riccati equations and inequalities. (English) Zbl 1171.34313 Aust. J. Math. Anal. Appl. 3, No. 2, Article No. 13, 1-10 (2006). MSC: 34C10 39A10 PDFBibTeX XMLCite \textit{R. Hilscher}, Aust. J. Math. Anal. Appl. 3, No. 2, Article No. 13, 1--10 (2006; Zbl 1171.34313) Full Text: Link
Hilscher, Roman; Růžičková, Viera Implicit Riccati equations and quadratic functionals for discrete symplectic systems. (English) Zbl 1112.39007 Int. J. Difference Equ. 1, No. 1, 135-154 (2006). Reviewer: Christian Pötzsche (München) MSC: 39A12 39A10 37J10 PDFBibTeX XMLCite \textit{R. Hilscher} and \textit{V. Růžičková}, Int. J. Difference Equ. 1, No. 1, 135--154 (2006; Zbl 1112.39007) Full Text: Link
Hilscher, Roman; Zeidan, Vera Coupled intervals for discrete symplectic systems. (English) Zbl 1115.39019 Linear Algebra Appl. 419, No. 2-3, 750-764 (2006). Reviewer: Ahmed Hegazi (Mansoura) MSC: 39A12 37J05 PDFBibTeX XMLCite \textit{R. Hilscher} and \textit{V. Zeidan}, Linear Algebra Appl. 419, No. 2--3, 750--764 (2006; Zbl 1115.39019) Full Text: DOI
Boros, Zoltán; Daróczy, Zoltán A composite functional equation with additive solutions. (English) Zbl 1111.39017 Publ. Math. Debr. 69, No. 1-2, 245-253 (2006). Reviewer: Gyula Maksa (Debrecen) MSC: 39B12 39B52 PDFBibTeX XMLCite \textit{Z. Boros} and \textit{Z. Daróczy}, Publ. Math. Debr. 69, No. 1--2, 245--253 (2006; Zbl 1111.39017)
Hilscher, Roman; Zeidan, Vera Time scale symplectic systems without normality. (English) Zbl 1104.37037 J. Differ. Equations 230, No. 1, 140-173 (2006). MSC: 37J10 39A12 37G05 PDFBibTeX XMLCite \textit{R. Hilscher} and \textit{V. Zeidan}, J. Differ. Equations 230, No. 1, 140--173 (2006; Zbl 1104.37037) Full Text: DOI
Hilscher, Roman; Růžičková, Viera Riccati inequality and other results for discrete symplectic systems. (English) Zbl 1103.39020 J. Math. Anal. Appl. 322, No. 2, 1083-1098 (2006). MSC: 39A12 37J05 PDFBibTeX XMLCite \textit{R. Hilscher} and \textit{V. Růžičková}, J. Math. Anal. Appl. 322, No. 2, 1083--1098 (2006; Zbl 1103.39020) Full Text: DOI
Gerdt, Vladimir P.; Blinkov, Yuri A.; Mozzhilkin, Vladimir V. Gröbner bases and generation of difference schemes for partial differential equations. (English) Zbl 1094.68125 SIGMA, Symmetry Integrability Geom. Methods Appl. 2, Paper 051, 26 p. (2006). MSC: 68W30 65M06 13P10 39A05 65Q05 PDFBibTeX XMLCite \textit{V. P. Gerdt} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 2, Paper 051, 26 p. (2006; Zbl 1094.68125) Full Text: DOI arXiv EuDML EMIS
Mabry, Richard D. No nontrivial Hamel basis is closed under multiplication. (English) Zbl 1136.12004 Aequationes Math. 71, No. 3, 294-299 (2006). MSC: 12F15 39B32 PDFBibTeX XMLCite \textit{R. D. Mabry}, Aequationes Math. 71, No. 3, 294--299 (2006; Zbl 1136.12004) Full Text: DOI
Kolesnikov, A. P. Algebraic splines in locally convex spaces. (English. Russian original) Zbl 1080.65120 Math. Notes 77, No. 3, 311-325 (2005); translation from Mat. Zametki 77, No. 3, 339-353 (2005). Reviewer: Hermann Render (Logrono) MSC: 65Q05 39B72 41A15 46A03 PDFBibTeX XMLCite \textit{A. P. Kolesnikov}, Math. Notes 77, No. 3, 311--325 (2005; Zbl 1080.65120); translation from Mat. Zametki 77, No. 3, 339--353 (2005) Full Text: DOI
Cattani, Carlo; Sánchez Ruiz, Luis M. Discrete differential operators in multidimensional Haar wavelet spaces. (English) Zbl 1075.39008 Int. J. Math. Math. Sci. 2004, No. 41-44, 2347-2355 (2004). MSC: 39A12 35A35 42C40 PDFBibTeX XMLCite \textit{C. Cattani} and \textit{L. M. Sánchez Ruiz}, Int. J. Math. Math. Sci. 2004, No. 41--44, 2347--2355 (2004; Zbl 1075.39008) Full Text: DOI EuDML
Hilscher, Roman; Zeidan, Vera Discrete quadratic functionals with jointly varying endpoints via separable endpoints. (English) Zbl 1065.39033 Aulbach, Bernd (ed.) et al., New progress in difference equations. Proceedings of the 6th international conference on difference equations, Augsburg, Germany July 30–August 3, 2001. Boca Raton, FL: CRC Press (ISBN 0-415-31675-8/hbk). 461-470 (2004). MSC: 39A12 49N10 PDFBibTeX XMLCite \textit{R. Hilscher} and \textit{V. Zeidan}, in: New progress in difference equations. Proceedings of the 6th international conference on difference equations, Augsburg, Germany July 30--August 3, 2001. Boca Raton, FL: CRC Press. 461--470 (2004; Zbl 1065.39033)
Elyseeva, J. A transformation for symplectic systems and the definition of a focal point. (English) Zbl 1049.93056 Comput. Math. Appl. 47, No. 1, 123-134 (2004). Reviewer: Edwin Engin Yaz (Milwaukee) MSC: 93C55 39A12 37J10 93B40 PDFBibTeX XMLCite \textit{J. Elyseeva}, Comput. Math. Appl. 47, No. 1, 123--134 (2004; Zbl 1049.93056) Full Text: DOI
Kratz, Werner Definiteness of quadratic functionals. (English) Zbl 1070.49014 Analysis, München 23, No. 2, 163-183 (2003). Reviewer: Roman Hilscher (Brno) MSC: 49K15 34C10 15A63 39A12 93B03 PDFBibTeX XMLCite \textit{W. Kratz}, Analysis, München 23, No. 2, 163--183 (2003; Zbl 1070.49014) Full Text: DOI
Bohner, M.; Došlý, O.; Hilscher, R.; Kratz, W. Diagonalization approach to discrete quadratic functionals. (English) Zbl 1033.39003 Arch. Inequal. Appl. 1, No. 2, 261-274 (2003). MSC: 39A10 39A12 PDFBibTeX XMLCite \textit{M. Bohner} et al., Arch. Inequal. Appl. 1, No. 2, 261--274 (2003; Zbl 1033.39003)
Došlý, Ondřej; Hilscher, Roman; Zeidan, Vera Nonnegativity of discrete quadratic functionals corresponding to symplectic difference systems. (English) Zbl 1056.39020 Linear Algebra Appl. 375, 21-44 (2003). Reviewer: Yuan Rong (Beijing) MSC: 39A12 39A10 37J10 PDFBibTeX XMLCite \textit{O. Došlý} et al., Linear Algebra Appl. 375, 21--44 (2003; Zbl 1056.39020) Full Text: DOI
Hilscher, Roman; Zeidan, Vera Symplectic difference systems: Variable stepsize discretization and discrete quadratic functionals. (English) Zbl 1021.39008 Linear Algebra Appl. 367, 67-104 (2003). Reviewer: Yang En-Hao (Guangzhou) MSC: 39A12 93C55 49J15 65K10 PDFBibTeX XMLCite \textit{R. Hilscher} and \textit{V. Zeidan}, Linear Algebra Appl. 367, 67--104 (2003; Zbl 1021.39008) Full Text: DOI
Lu, Peizhong Representations of linear recurring arrays over commutative rings. (Chinese. English summary) Zbl 1085.39500 Acta Math. Appl. Sin. 25, No. 3, 402-410 (2002). MSC: 39A10 13P10 PDFBibTeX XMLCite \textit{P. Lu}, Acta Math. Appl. Sin. 25, No. 3, 402--410 (2002; Zbl 1085.39500)
Markov, Y.; Varchenko, A. Hypergeometric solutions of trigonometric KZ equations satisfy dynamical difference equations. (English) Zbl 1018.32016 Adv. Math. 166, No. 1, 100-147 (2002). Reviewer: Volodymyr Mazorchuk (Kyïv) MSC: 32G34 17B10 39A12 39A10 PDFBibTeX XMLCite \textit{Y. Markov} and \textit{A. Varchenko}, Adv. Math. 166, No. 1, 100--147 (2002; Zbl 1018.32016) Full Text: DOI arXiv
Babilonová-Štefánková, Marta Solution of a problem of S. Marcus concerning Jensen-convex functions. (English) Zbl 1013.26009 Aequationes Math. 63, No. 1-2, 136-139 (2002). Reviewer: Solomon Marcus (Bucureşti) MSC: 26B25 26A51 39B62 PDFBibTeX XMLCite \textit{M. Babilonová-Štefánková}, Aequationes Math. 63, No. 1--2, 136--139 (2002; Zbl 1013.26009) Full Text: DOI
Oberst, Ulrich; Pauer, Franz The constructive solution of linear systems of partial difference and differential equations with constant coefficients. (English) Zbl 1014.35015 Multidimensional Syst. Signal Process. 12, No. 3-4, 253-308 (2001). Reviewer: Francisco Castro-Jiménez (Sevilla) MSC: 35N05 35C10 13P10 39A10 93C35 93B25 93B40 PDFBibTeX XMLCite \textit{U. Oberst} and \textit{F. Pauer}, Multidimensional Syst. Signal Process. 12, No. 3--4, 253--308 (2001; Zbl 1014.35015) Full Text: DOI
Adamović, Dušan Correction of a proof in a former paper. (Corection d’une démonstration dans un travail anterieur.) (French) Zbl 1052.39021 Math. Morav. 4, 1-4 (2000). Reviewer: Slobodanka Janković (Beograd) MSC: 39B22 PDFBibTeX XMLCite \textit{D. Adamović}, Math. Morav. 4, 1--4 (2000; Zbl 1052.39021)
Tang, Yuping Periodicity for a delay difference equation. (Chinese. English summary) Zbl 0985.39018 J. Sichuan Univ., Nat. Sci. Ed. 37, No. 2, 181-184 (2000). Reviewer: Patricia J.Y.Wong (Singapore) MSC: 39B05 68W30 39A11 PDFBibTeX XMLCite \textit{Y. Tang}, J. Sichuan Univ., Nat. Sci. Ed. 37, No. 2, 181--184 (2000; Zbl 0985.39018)
Harmsen, Betty Jean Using remainder polynomials to solve discrete Sturm-Liouville problems. (English) Zbl 0943.39010 Dyn. Syst. Appl. 8, No. 3-4, 461-470 (1999). Reviewer: Patricia J.Y.Wong (Singapore) MSC: 39A12 34B24 34L10 39A10 13P10 PDFBibTeX XMLCite \textit{B. J. Harmsen}, Dyn. Syst. Appl. 8, No. 3--4, 461--470 (1999; Zbl 0943.39010)
Anderson, Douglas Normalized prepared bases for discrete symplectic matrix systems. (English) Zbl 0940.39012 Dyn. Syst. Appl. 8, No. 3-4, 335-344 (1999). Reviewer: R.P.Agarwal (Lucknow) MSC: 39A12 65R10 37J10 PDFBibTeX XMLCite \textit{D. Anderson}, Dyn. Syst. Appl. 8, No. 3--4, 335--344 (1999; Zbl 0940.39012)
Pauer, Franz; Unterkircher, Andreas Gröbner bases for ideals in Laurent polynomial rings and their application to systems of difference equations. (English) Zbl 0978.13017 Appl. Algebra Eng. Commun. Comput. 9, No. 4, 271-291 (1999). Reviewer: Francis John Wright (London) MSC: 13P10 39A10 13F20 68W30 PDFBibTeX XMLCite \textit{F. Pauer} and \textit{A. Unterkircher}, Appl. Algebra Eng. Commun. Comput. 9, No. 4, 271--291 (1999; Zbl 0978.13017) Full Text: DOI
Ahlbrandt, Calvin D.; Harmsen, Betty Jean Discrete versions of continuous isoperimetric problems. (English) Zbl 0908.49031 J. Difference Equ. Appl. 3, No. 5-6, 449-462 (1998). MSC: 49R50 49J10 39A10 39A12 65L12 49M29 65N06 PDFBibTeX XMLCite \textit{C. D. Ahlbrandt} and \textit{B. J. Harmsen}, J. Difference Equ. Appl. 3, No. 5--6, 449--462 (1998; Zbl 0908.49031) Full Text: DOI
Skof, Fulvia The general solution of the Cauchy equation on some restricted domains in \( R^2\) in terms of Hamel-bases without use of extensions. (English) Zbl 1032.39503 Atti Accad. Sci. Torino, Cl. Sci. Fis. Mat. Nat. 130, 111-122 (1996). MSC: 39B22 39B52 PDFBibTeX XMLCite \textit{F. Skof}, Atti Accad. Sci. Torino, Cl. Sci. Fis. Mat. Nat. 130, 111--122 (1996; Zbl 1032.39503)
Dobrev, V. K.; Truini, P. Gel’fand pattern and polynomial representations of quantum groups. (English) Zbl 0918.17016 Doebner, H.-D. (ed.) et al., Lie theory and its applications in physics. Proceedings of the international workshop, Clausthal, Germany, August 14–17, 1995. Singapore: World Scientific. 159-170 (1996). MSC: 17B37 39A70 81R50 PDFBibTeX XMLCite \textit{V. K. Dobrev} and \textit{P. Truini}, in: Lie theory and its applications in physics. Proceedings of the international workshop, Clausthal, Germany, August 14--17, 1995. Singapore: World Scientific. 159--170 (1996; Zbl 0918.17016)
Baker, John A. Some propositions related to a dilation theorem of W. Benz. (English) Zbl 0802.39010 Aequationes Math. 47, No. 1, 79-88 (1994). Reviewer: A.Smajdor (Katowice) MSC: 39B52 39B42 PDFBibTeX XMLCite \textit{J. A. Baker}, Aequationes Math. 47, No. 1, 79--88 (1994; Zbl 0802.39010) Full Text: DOI EuDML
Zerz, Eva; Oberst, Ulrich The canonical Cauchy problem for linear systems of partial difference equations with constant coefficients over the complete \(r\)-dimensional integral lattice \(\mathbb{Z}^ r\). (English) Zbl 0794.39005 Acta Appl. Math. 31, No. 3, 249-273 (1993). Reviewer: L.I.Grimm (Rolla) MSC: 39A10 PDFBibTeX XMLCite \textit{E. Zerz} and \textit{U. Oberst}, Acta Appl. Math. 31, No. 3, 249--273 (1993; Zbl 0794.39005) Full Text: DOI
Gripenberg, Gustaf Unconditional bases of wavelets for Sobolev spaces. (English) Zbl 0785.42013 SIAM J. Math. Anal. 24, No. 4, 1030-1042 (1993). MSC: 42C40 46B15 46E35 39B99 PDFBibTeX XMLCite \textit{G. Gripenberg}, SIAM J. Math. Anal. 24, No. 4, 1030--1042 (1993; Zbl 0785.42013) Full Text: DOI
Fliess, Michel Invertibility of causal discrete time dynamical systems. (English) Zbl 0780.58040 J. Pure Appl. Algebra 86, No. 2, 173-179 (1993). Reviewer: A.-A.Yakubu (Washington D.C.) MSC: 37-XX 12H10 39A70 PDFBibTeX XMLCite \textit{M. Fliess}, J. Pure Appl. Algebra 86, No. 2, 173--179 (1993; Zbl 0780.58040) Full Text: DOI
Villemoes, Lars F. Energy moments in time and frequency for two-scale difference equation solutions and wavelets. (English) Zbl 0759.39005 SIAM J. Math. Anal. 23, No. 6, 1519-1543 (1992). Reviewer: J.Aczél (Waterloo / Ontario) MSC: 39A12 39B32 42C40 94A11 PDFBibTeX XMLCite \textit{L. F. Villemoes}, SIAM J. Math. Anal. 23, No. 6, 1519--1543 (1992; Zbl 0759.39005) Full Text: DOI
Sekiguchi, Takeshi; Shiota, Yasunobu A generalization of Hata-Yamaguti’s results on the Takagi function. (English) Zbl 0733.26003 Japan J. Ind. Appl. Math. 8, No. 2, 203-219 (1991). Reviewer: V.Anisiu (Cluj-Napoca) MSC: 26A27 26A30 39A10 60G46 PDFBibTeX XMLCite \textit{T. Sekiguchi} and \textit{Y. Shiota}, Japan J. Ind. Appl. Math. 8, No. 2, 203--219 (1991; Zbl 0733.26003) Full Text: DOI
Moszner, Zenon Sur un théorème de S. Gołąb. (On a theorem of S. Gołąb). (French) Zbl 0733.39007 Pr. Nauk. Uniw. Śląsk. Katowicach 1120, Ann. Math. Silesianae 3(15), 51-57 (1990). Reviewer: J.Aczél (Waterloo/Ontario) MSC: 39B22 26B05 12D15 PDFBibTeX XML
Gajda, Zbigniew; Miller, Harry I. On quadratic functionals and some properties of Hamel bases. (English) Zbl 0687.39005 J. Math. Anal. Appl. 145, No. 1, 45-51 (1990). Reviewer: B.Crstici MSC: 39B99 03E50 03E15 PDFBibTeX XMLCite \textit{Z. Gajda} and \textit{H. I. Miller}, J. Math. Anal. Appl. 145, No. 1, 45--51 (1990; Zbl 0687.39005) Full Text: DOI
Miller, Harry I. On a property of Hamel bases. (English) Zbl 0701.04001 Boll. Unione Mat. Ital., VII. Ser., A 3, No. 1, 39-43 (1989). Reviewer: H.I.Miller MSC: 03E15 28A05 26A21 03E50 39B22 PDFBibTeX XMLCite \textit{H. I. Miller}, Boll. Unione Mat. Ital., VII. Ser., A 3, No. 1, 39--43 (1989; Zbl 0701.04001)
Moszner, Zenon Sur un problème au sujet des homomorphismes. (On a problem concerning homomorphisms). (French) Zbl 0637.39005 Aequationes Math. 32, 297-303 (1987). Reviewer: M.C.Zdun MSC: 39B52 39B12 20F99 PDFBibTeX XMLCite \textit{Z. Moszner}, Aequationes Math. 32, 297--303 (1987; Zbl 0637.39005) Full Text: DOI EuDML
Pu, H. W.; Pu, H. H. On solutions of the Cauchy’s functional equation. (English) Zbl 0631.39007 Rev. Roum. Math. Pures Appl. 32, 269-271 (1987). Reviewer: N.Ghircoiaşiu MSC: 39B99 PDFBibTeX XMLCite \textit{H. W. Pu} and \textit{H. H. Pu}, Rev. Roum. Math. Pures Appl. 32, 269--271 (1987; Zbl 0631.39007)
Vukman, Joso On some functional equations. (Slovenian. English summary) Zbl 0591.39006 Obz. Mat. Fiz. 33, 65-73 (1986). Reviewer: W.Jarczyk MSC: 39B99 PDFBibTeX XMLCite \textit{J. Vukman}, Obz. Mat. Fiz. 33, 65--73 (1986; Zbl 0591.39006)
Smítal, J. On a problem of Aczél and Erdős concerning Hamel bases. (English) Zbl 0558.12011 Aequationes Math. 28, 135-137 (1985). Reviewer: B.Crstici MSC: 12D99 39B99 PDFBibTeX XMLCite \textit{J. Smítal}, Aequationes Math. 28, 135--137 (1985; Zbl 0558.12011) Full Text: DOI EuDML
Reich, L.; Schwaiger, J. On polynomials in additive and multiplicative functions. (English) Zbl 0594.39004 Functional equations: history, applications and theory, Math. Appl., D. Reidel Publ. Co., 127-160 (1984). Reviewer: J.Aczél MSC: 39B99 15A03 12E12 PDFBibTeX XML
Laczkovich, M. On the difference property of the class of pointwise discontinuous functions and of some related classes. (English) Zbl 0564.39001 Can. J. Math. 36, 756-768 (1984). Reviewer: J.Aczél MSC: 39B99 26A15 26A21 26A45 PDFBibTeX XMLCite \textit{M. Laczkovich}, Can. J. Math. 36, 756--768 (1984; Zbl 0564.39001) Full Text: DOI
Gajda, Zbigniew On some properties of Hamel bases connected with the continuity of polynomial functions. (English) Zbl 0546.39002 Aequationes Math. 27, 57-75 (1984). Reviewer: N.Ghircoiaşiu MSC: 39B99 26A15 26C05 PDFBibTeX XMLCite \textit{Z. Gajda}, Aequationes Math. 27, 57--75 (1984; Zbl 0546.39002) Full Text: DOI EuDML
Kuczma, Marek On some properties of Erdős sets. (English) Zbl 0546.39001 Colloq. Math. 48, 127-134 (1984). MSC: 39B99 39B72 PDFBibTeX XMLCite \textit{M. Kuczma}, Colloq. Math. 48, 127--134 (1984; Zbl 0546.39001) Full Text: DOI
Kominek, Z. Some remarks on the set classes \(A^ N_ C\) and \(B^ N_ C\). (English) Zbl 0601.39013 Ann. Soc. Math. Pol., Ser. I, Commentat. Math. 23, 49-52 (1983). Reviewer: M.Sablik MSC: 39B52 39B72 26A15 PDFBibTeX XMLCite \textit{Z. Kominek}, Ann. Soc. Math. Pol., Ser. I, Commentat. Math. 23, 49--52 (1983; Zbl 0601.39013)
Clark, W. E.; Mukherjea, A. Comments on a functional equation. (English) Zbl 0508.39012 Real Anal. Exch. 6, 192-199 (1981). MSC: 39B62 22A10 PDFBibTeX XMLCite \textit{W. E. Clark} and \textit{A. Mukherjea}, Real Anal. Exch. 6, 192--199 (1981; Zbl 0508.39012)
Xia, Ming-yuan The frame of additive functions. (Chinese) Zbl 0505.39008 J. Math., Wuhan Univ. 1, 157-160 (1981). MSC: 39B99 PDFBibTeX XMLCite \textit{M.-y. Xia}, J. Math., Wuhan Univ. 1, 157--160 (1981; Zbl 0505.39008)
Gol’dshejd, I. Ya. The structure of the spectrum of the Schrödinger random difference operator. (English. Russian original) Zbl 0508.39010 Sov. Math., Dokl. 22, 670-675 (1980); translation from Dokl. Akad. Nauk SSSR 255, 273-277 (1980). MSC: 39A70 47B39 47A10 PDFBibTeX XMLCite \textit{I. Ya. Gol'dshejd}, Sov. Math., Dokl. 22, 670--675 (1980; Zbl 0508.39010); translation from Dokl. Akad. Nauk SSSR 255, 273--277 (1980)
Anderson, Julie D. Non-linear additive functions. (English) Zbl 0426.39004 Pi Mu Epsilon J. 7, 7-12 (1979). MSC: 39B99 39-01 03E25 PDFBibTeX XMLCite \textit{J. D. Anderson}, Pi Mu Epsilon J. 7, 7--12 (1979; Zbl 0426.39004)
Dhombres, J. G. Some aspects of functional equations - conditional Cauchy equations. (English) Zbl 0421.39005 1st Franco-southeast Asian math. Conf., Singapore 1979, Spec. Issue of Southeast Asian Bull. Math., 51-71 (1979). MSC: 39B52 65-02 46B25 39B99 46C99 PDFBibTeX XML
Kominek, Bozena; Kominek, Zygfryd On some classes connected with the continuity of additive and Q-convex functions. (English) Zbl 0436.39003 Pr. Nauk. Uniw. Śląsk. Katowicach 218, Pr. Mat. 8, 60-63 (1978). MSC: 39B99 26A51 26A30 39B72 26A15 PDFBibTeX XML