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Battelli, Flaviano; Franca, Matteo; Palmer, Kenneth J.

Exponential dichotomy for noninvertible linear difference equations: block triangular systems. (English) Zbl 1498.39002

J. Difference Equ. Appl. 28, No. 8, 1054-1086 (2022).

Reviewer: Eszter Gselmann (Debrecen)

MSC: 39A06

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Volkov, Yuriy S.; Novikov, Sergey I.

Estimates for solutions of bi-infinite systems of linear equations. (English) Zbl 1491.39001

Eur. J. Math. 8, No. 2, 722-731 (2022).

MSC: 39A06 15B05 15A06 65F35

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Khesin, Boris

Lectures on pentagram maps and KdV hierarchies. (English) Zbl 1472.37081

Akbulut, Selman (ed.) et al., Proceedings of the 25th and 26th Gökova geometry-topology conferences, 2018/2019, Gökova Bay, Turkey, May/June 2018 and May/June 2019. Dedicated to the memory of Sir Michael Atiyah. Somerville, MA: International Press; Gökova: Gökova Geometry-Topology Conferences (GGT). 164-175 (2021).

Reviewer: Ahmed Lesfari (El Jadida)

MSC: 37K60 37K25 37J70 37J39 39A36

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Xingyuan, Wang; Suo, Gao; Xiaolin, Ye; Shuang, Zhou; Mingxu, Wang

A new image encryption algorithm with Cantor diagonal scrambling based on the PUMCML system. (English) Zbl 1462.37097

Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 1, Article ID 2150003, 30 p. (2021).

MSC: 37M25 39A14 37L60 94A08 68P25

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Luo, Lvlin

Dynamical classification for complex matrices. (English) Zbl 1516.15011

Ann. Funct. Anal. 12, No. 2, Paper No. 20, 18 p. (2021).

MSC: 15A30 15A18 39B32

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Hamaya, Yoshihiro

Existence and stability properties of almost periodic solutions in discrete almost periodic systems. (English) Zbl 1426.39013

Elaydi, Saber (ed.) et al., Difference equations, discrete dynamical systems and applications, ICDEA 23, Timişoara, Romania, July 24–28, 2017. Proceedings of the 23rd international conference on difference equations and applications. Cham: Springer. Springer Proc. Math. Stat. 287, 273-283 (2019).

MSC: 39A24 39A23 39A30

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Kapçak, Sinan

On planar zero-diagonal and zero-trace iterated maps. (English) Zbl 1403.39018

J. Difference Equ. Appl. 24, No. 9, 1521-1539 (2018).

MSC: 39B12 39A28

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Castañeda, Álvaro; Robledo, Gonzalo

Almost reducibility of linear difference systems from a spectral point of view. (English) Zbl 1376.39001

Commun. Pure Appl. Anal. 16, No. 6, 1977-1988 (2017).

MSC: 39A06 34D09 37C60

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Ghiu, Cristian; Tuligă, Raluca; Udrişte, Constantin; Ţevy, Ionel

Floquet theory for multitime linear diagonal recurrence. (English) Zbl 1399.39007

Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 78, No. 2, 3-8 (2016).

MSC: 39A12 39A06 39A23 39A24

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Pötzsche, Christian

Dichotomy spectra of triangular equations. (English) Zbl 1364.39016

Discrete Contin. Dyn. Syst. 36, No. 1, 423-450 (2016).

Reviewer: David Cheban (Chisinau)

MSC: 39A30 34D09 37C60 47B37

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Ghiu, Cristian; Tuligă, Raluca; Udrişte, Constantin; Ţevy, Ionel

Multitime Samuelson-Hicks diagonal recurrence. (English) Zbl 1351.39002

Balan, Vladimir (ed.) et al., Proceedings of the international conference on differential geometry and dynamical systems (DGDS-2014), Mangalia, Romania, September 1–4, 2014. Bucharest: Geometry Balkan Press. BSG Proceedings 22, 28-37 (2015).

MSC: 39A06 65Q30

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Ghiu, Cristian; Tuligă, Raluca; Udrişte, Constantin; Ţevy, Ionel

Discrete diagonal recurrences and discrete minimal submanifolds. (English) Zbl 1328.93152

Balkan J. Geom. Appl. 20, No. 1, 49-64 (2015).

MSC: 93C55 39A06 65Q99

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Liu, Xiu; Shu, Lan; Ding, Xiuyong

Diagonal common quadratic Lyapunov functions for sets of positive LTI systems. (English) Zbl 1324.37008

Miskolc Math. Notes 15, No. 2, 593-602 (2014).

MSC: 37B25 47B07 39B42

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Pennequin, Denis

Existence of different kind of solutions for discrete time equations. (English) Zbl 1304.93048

Nonauton. Dyn. Syst. 1, 102-111 (2014).

MSC: 93C55 39A23 93C10

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Xue, Fei

On asymptotic summations of almost diagonal difference systems and their applications. (English) Zbl 1350.39006

Comput. Math. Appl. 66, No. 11, 2156-2164 (2013).

MSC: 39A22 39A06 39A12 34C10

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Matsunaga, Hideaki; Hajiri, Chikako

Exact stability sets for a linear difference system with diagonal delay. (English) Zbl 1198.39027

J. Math. Anal. Appl. 369, No. 2, 616-622 (2010).

Reviewer: Peter Zabreiko (Minsk)

MSC: 39A30 39A06 39A12 34K06

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Zeidan, Vera

Continuous versus discrete nonlinear optimal control problems. (English) Zbl 1170.49018

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). 73-93 (2009).

MSC: 49K10 49K15 34C10 39A12

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Wimmer, Harald K.

Block companion matrices, discrete-time block diagonal stability and polynomial matrices. (English) Zbl 1166.93015

Oper. Matrices 3, No. 1, 111-124 (2009).

MSC: 93D05 93C55 15B33 15A24 15B57 26C10 30C15 39A11

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Zagorodnyuk, S. M.

The direct and inverse spectral problems for \((2N+1)\)-diagonal complex transposition-antisymmetric matrices. (English) Zbl 1164.47036

Methods Funct. Anal. Topol. 14, No. 2, 124-131 (2008).

Reviewer: Anatoly N. Kochubei (Kyïv)

MSC: 47B36 47B39 39A70

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Mesiar, R.; Mesiarová-Zemánková, A.

Convex combinations of continuous t-norms with the same diagonal function. (English) Zbl 1157.39012

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 9, 2851-2856 (2008).

Reviewer: Mihály Bessenyei (Debrecen)

MSC: 39B12

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Ma, Manjun; Guo, Zhiming

Homoclinic orbits and subharmonics for nonlinear second order difference equations. (English) Zbl 1120.39007

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 6, 1737-1745 (2007).

Reviewer: Christian Pötzsche (München)

MSC: 39A14 37C29 49J40

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Gingold, Harry; Xue, Fei

On asymptotic summation of potentially oscillatory difference systems. (English) Zbl 1123.39003

J. Math. Anal. Appl. 330, No. 2, 1068-1092 (2007).

MSC: 39A11 39A12 34A30 34E15

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Kilic, Emrah; Tasci, Dursun

Factorizations and representations of the backward second-order linear recurrences. (English) Zbl 1115.39004

J. Comput. Appl. Math. 201, No. 1, 182-197 (2007).

Reviewer: Edwin Engin Yaz (Milwaukee)

MSC: 39A10 15A15 11B39 11B37

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Zagorodnyuk, S. M.

On a characteristic property of polynomials satisfying a difference equation of the 4-th order. (Russian. English summary) Zbl 1028.42017

Visn. Khark. Univ., Ser. Mat. Prykl. Mat. Mekh. 582, No. 52, 15-25 (2003).

MSC: 42C05 39A05 44A60

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Ngoc, Pham Huu Anh; Son, Nguyen Khoa

Stability radii of positive linear difference equations under affine parameter perturbations. (English) Zbl 1030.39013

Appl. Math. Comput. 134, No. 2-3, 577-594 (2003).

Reviewer: Oleg Anashkin (Simferopol)

MSC: 39A11

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Bobyleva, L. V.; Serdyukova, S. I.

Calculation of defects in two-dimensional tunnel arrays. (Russian, English) Zbl 1053.81095

Zh. Vychisl. Mat. Mat. Fiz. 42, No. 1, 3-9 (2002); translation in Comput. Math. Math. Phys. 42, No. 1, 1-7 (2002).

Reviewer: Andrei Zemskov (Moskva)

MSC: 81V45 81T80 82D20 35Q40 39B42 15A90

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Siegmund, Stefan

Block diagonalization of linear difference equations. (English) Zbl 1004.37011

J. Difference Equ. Appl. 8, No. 2, 177-189 (2002).

Reviewer: Messoud Efendiev (Berlin)

MSC: 37B55 39A10

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Gingold, Harry

Almost diagonal systems of linear difference equations. (English) Zbl 1006.39005

J. Difference Equ. Appl. 7, No. 5, 685-700 (2001).

Reviewer: B.M.Agrawal (Gwalior)

MSC: 39A11 39A10

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Wang, Wendi

Global stability of discrete competition model. (English) Zbl 0974.92033

Comput. Math. Appl. 42, No. 6-7, 773-782 (2001).

MSC: 92D40 39A11

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Holtby, Derek

Higher-order estimates for fully nonlinear difference equations. II. (English) Zbl 0977.35047

Proc. Edinb. Math. Soc., II. Ser. 44, No. 1, 87-102 (2001).

MSC: 35J60 35J15 39A12 39A70 39A10 65N06 65N22 65N12

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Mai, Jiehua; Liu, Xinhe

Existence, uniqueness and stability of \(C^m\) solutions of iterative functional equations. (English) Zbl 0999.39020

Sci. China, Ser. A 43, No. 9, 897-913 (2000).

MSC: 39B12 39B82

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Naulin, Raúl; Pinto, Manuel

Asymptotic solutions of nondiagonal linear difference systems. (English) Zbl 0985.39006

Tamkang J. Math. 31, No. 3, 175-191 (2000).

MSC: 39A11 39A10

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Fan, Heng; Hou, Boyu; Li, Guangliang; Shi, Kangjie; Yue, Ruihong

The general solutions to the reflection equation of the Izergin-Korepin model. (English) Zbl 0938.82014

J. Phys. A, Math. Gen. 32, No. 33, 6021-6032 (1999).

Reviewer: O.Ninnemann (Berlin)

MSC: 82B23 39A12

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Chung, F. R. K.; Yau, S.-T.

A combinatorial trace formula. (English) Zbl 0881.05090

Yau, Shing-Tung (ed.), Tsing Hua lectures on geometry and analysis, Taiwan, 1990-91. Cambridge, MA: International Press. 107-116 (1997).

MSC: 05C50 39A12

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Bézivin, J. P.; Tomás, M. S.

On the determination of strict \(t\)-norms on some diagonal segments. (English) Zbl 0776.39001

Aequationes Math. 45, No. 2-3, 239-245 (1993).

Reviewer: H.K.L.Vasudeva (Chandigarh)

MSC: 39B05 39B22

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Full Text: DOI EuDML

Shannon, A. G.; Melham, R. S.

Some aspects of a partial difference equation. (English) Zbl 0881.11022

Bull. Number Theory Relat. Top. 16, 31-44 (1992).

MSC: 11B39 39A99

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Dimkpa-Harry, Sunday H.

Diagonal sum approach to the solution of particular integral of a difference equation with circular term on the right hand side. (English) Zbl 0756.39002

J. Math. Phys. Sci. 25, No. 4, 369-373 (1991).

Reviewer: L.Berg (Rostock)

MSC: 39A10

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Heuvers, Konrad J.; Moak, Daniel S.

The solution of the Binet-Cauchy functional equation for square matrices. (English) Zbl 0718.39005

Discrete Math. 88, No. 1, 21-32 (1991).

Reviewer: J.Aczél (Waterloo / Ontario)

MSC: 39B42 15A15

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Voevodin, A. F.

Stability of the sweeping method for difference equations. (Russian) Zbl 0706.65137

Din. Splosh. Sredy 84, 47-61 (1988).

MSC: 65Q05 65N12 39A10

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Gusejnov, G. Sh.

On the spectral theory of multiparametric difference equations of second order. (English. Russian original) Zbl 0661.39006

Math. USSR, Izv. 31, No. 1, 95-120 (1988); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 51, No. 4, 785-811 (1987).

MSC: 39A70 47B39 39A12

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Gusejnov, G. Sh.

Spectral theory of multiparametric difference equations of the second order. (Russian) Zbl 0651.39002

Izv. Akad. Nauk SSSR, Ser. Mat. 51, No. 4, 785-811 (1987).

Reviewer: M.Garzon

MSC: 39A70 47B39

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Papaschinopoulos, Garyfalos; Schinas, John

Conditions for exponential dichotomy of difference equations. (English) Zbl 0589.39001

Rad. Mat. 1, No. 1, 9-24 (1985).

Reviewer: D.Dorninger

MSC: 39A10 39A12

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Hansen, D. J.

Cauchy’s multiplicative functional equation in the semigroup of Boolean matrices. (English) Zbl 0549.39004

Rev. Roum. Math. Pures Appl. 29, 313-318 (1984).

Reviewer: J.Aczel

MSC: 39B42 20M20 06E20 15A78

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Burgues, Carme

On the diagonal section and the zero-set of a t-norm. (Spanish) Zbl 0494.39003

Stochastica 5, 79-87 (1981).

MSC: 39B05

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Danilov, V. Ya.; Pavlov, V. A.

On the transformation of systems of linear difference equations into diagonal form. (Russian) Zbl 0442.39001

Vychisl. Prikl. Mat., Kiev 40, 17-26 (1980).

MSC: 39A10 65Q05 15A21 65F30

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Martynyuk, D. Yi.; Danilov, V. Ya.

Reducibility of systems of linear difference equations to diagonal form. (Ukrainian) Zbl 0425.65071

Dopov. Akad. Nauk Ukr. RSR, Ser. A 1980, No. 4, 22-24 (1980).

MSC: 65Q05 15A21 39A10

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Dib, K. A.

Transformation of the discrete finite difference systems to the diagonal form. (English) Zbl 0435.39002

Proc. Math. Phys. Soc. Egypt 48, 25-29 (1979).

MSC: 39A10

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Found 47 Documents (Results 1–47)

Exponential dichotomy for noninvertible linear difference equations: block triangular systems. (English) Zbl 1498.39002

Estimates for solutions of bi-infinite systems of linear equations. (English) Zbl 1491.39001

Lectures on pentagram maps and KdV hierarchies. (English) Zbl 1472.37081

A new image encryption algorithm with Cantor diagonal scrambling based on the PUMCML system. (English) Zbl 1462.37097

Dynamical classification for complex matrices. (English) Zbl 1516.15011

Existence and stability properties of almost periodic solutions in discrete almost periodic systems. (English) Zbl 1426.39013

On planar zero-diagonal and zero-trace iterated maps. (English) Zbl 1403.39018

Almost reducibility of linear difference systems from a spectral point of view. (English) Zbl 1376.39001

Floquet theory for multitime linear diagonal recurrence. (English) Zbl 1399.39007

Dichotomy spectra of triangular equations. (English) Zbl 1364.39016

Multitime Samuelson-Hicks diagonal recurrence. (English) Zbl 1351.39002

Discrete diagonal recurrences and discrete minimal submanifolds. (English) Zbl 1328.93152

Diagonal common quadratic Lyapunov functions for sets of positive LTI systems. (English) Zbl 1324.37008

Existence of different kind of solutions for discrete time equations. (English) Zbl 1304.93048

On asymptotic summations of almost diagonal difference systems and their applications. (English) Zbl 1350.39006

Exact stability sets for a linear difference system with diagonal delay. (English) Zbl 1198.39027

Continuous versus discrete nonlinear optimal control problems. (English) Zbl 1170.49018

Block companion matrices, discrete-time block diagonal stability and polynomial matrices. (English) Zbl 1166.93015

The direct and inverse spectral problems for \((2N+1)\)-diagonal complex transposition-antisymmetric matrices. (English) Zbl 1164.47036

Convex combinations of continuous t-norms with the same diagonal function. (English) Zbl 1157.39012

Homoclinic orbits and subharmonics for nonlinear second order difference equations. (English) Zbl 1120.39007

On asymptotic summation of potentially oscillatory difference systems. (English) Zbl 1123.39003

Factorizations and representations of the backward second-order linear recurrences. (English) Zbl 1115.39004

On a characteristic property of polynomials satisfying a difference equation of the 4-th order. (Russian. English summary) Zbl 1028.42017

Stability radii of positive linear difference equations under affine parameter perturbations. (English) Zbl 1030.39013

Calculation of defects in two-dimensional tunnel arrays. (Russian, English) Zbl 1053.81095

Block diagonalization of linear difference equations. (English) Zbl 1004.37011

Almost diagonal systems of linear difference equations. (English) Zbl 1006.39005

Global stability of discrete competition model. (English) Zbl 0974.92033

Higher-order estimates for fully nonlinear difference equations. II. (English) Zbl 0977.35047

Existence, uniqueness and stability of \(C^m\) solutions of iterative functional equations. (English) Zbl 0999.39020

Asymptotic solutions of nondiagonal linear difference systems. (English) Zbl 0985.39006

The general solutions to the reflection equation of the Izergin-Korepin model. (English) Zbl 0938.82014

A combinatorial trace formula. (English) Zbl 0881.05090

On the determination of strict \(t\)-norms on some diagonal segments. (English) Zbl 0776.39001

Some aspects of a partial difference equation. (English) Zbl 0881.11022

Diagonal sum approach to the solution of particular integral of a difference equation with circular term on the right hand side. (English) Zbl 0756.39002

The solution of the Binet-Cauchy functional equation for square matrices. (English) Zbl 0718.39005

Stability of the sweeping method for difference equations. (Russian) Zbl 0706.65137

On the spectral theory of multiparametric difference equations of second order. (English. Russian original) Zbl 0661.39006

Spectral theory of multiparametric difference equations of the second order. (Russian) Zbl 0651.39002

Conditions for exponential dichotomy of difference equations. (English) Zbl 0589.39001

Cauchy’s multiplicative functional equation in the semigroup of Boolean matrices. (English) Zbl 0549.39004

On the diagonal section and the zero-set of a t-norm. (Spanish) Zbl 0494.39003

On the transformation of systems of linear difference equations into diagonal form. (Russian) Zbl 0442.39001

Reducibility of systems of linear difference equations to diagonal form. (Ukrainian) Zbl 0425.65071

Transformation of the discrete finite difference systems to the diagonal form. (English) Zbl 0435.39002

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