39 Difference and functional equations
39A10 Difference equations, additive (113 articles)
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Chatzarakis, George E.; Rajasekar, Deepalakshmi; Sivagandhi, Saravanan; Thandapani, Ethiraju:
Oscillation of second-order quasilinear retarded difference equations via canonical transform.
(English).
Mathematica Bohemica,
vol. 149
(2024),
issue 1,
pp. 39-47
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Alzabut, Jehad; Grace, Said Rezk; Selvam, A. George Maria; Janagaraj, Rajendran:
Nonoscillatory solutions of discrete fractional order equations with positive and negative terms.
(English).
Mathematica Bohemica,
vol. 148
(2023),
issue 4,
pp. 461-479
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Ayyappan, Govindasamy; Chatzarakis, George E.; Kumar, Thaniarasu; Thandapani, Ethiraj:
Oscillatory properties of third-order semi-noncanonical nonlinear delay difference equations.
(English).
Mathematica Bohemica,
vol. 148
(2023),
issue 1,
pp. 35-47
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Chatzarakis, George E.; Dinakar, Ponnuraj; Selvarangam, Srinivasan; Thandapani, Ethiraju:
Oscillation properties of second-order quasilinear difference equations with unbounded delay and advanced neutral terms.
(English).
Mathematica Bohemica,
vol. 147
(2022),
issue 2,
pp. 271-284
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Selvarangam, Srinivasan; Rupadevi, Sethurajan A.; Thandapani, Ethiraju; Pinelas, Sandra:
Existence of nonoscillatory solutions to third order neutral type difference equations with delay and advanced arguments.
(English).
Mathematica Bohemica,
vol. 146
(2021),
issue 3,
pp. 263-278
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He, Yanli; Li, Kun:
Traveling wave solutions in a class of higher dimensional lattice differential systems with delays and applications.
(English).
Applications of Mathematics,
vol. 66
(2021),
issue 4,
pp. 641-656
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Tripathy, Arun Kumar; Chhatria, Gokula Nanda:
On oscillatory first order neutral impulsive difference equations.
(English).
Mathematica Bohemica,
vol. 145
(2020),
issue 4,
pp. 361-375
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Öcalan, Özkan; Duman, Oktay:
Solutions to conjectures on a nonlinear recursive equation.
(English).
Czechoslovak Mathematical Journal,
vol. 70
(2020),
issue 3,
pp. 867-880
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Vidhyaa, Kumar S.; Dharuman, Chinnappa; Thandapani, Ethiraju; Pinelas, Sandra:
Oscillation theorems for third order nonlinear delay difference equations.
(English).
Mathematica Bohemica,
vol. 144
(2019),
issue 1,
pp. 25-37
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Qian, Chuanxi; Smith, Justin:
Existence and global attractivity of periodic solutions in a higher order difference equation.
(English).
Archivum Mathematicum,
vol. 54
(2018),
issue 2,
pp. 91-110
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Tripathy, Arun K.:
On oscillatory nonlinear fourth-order difference equations with delays.
(English).
Mathematica Bohemica,
vol. 143
(2018),
issue 1,
pp. 25-40
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Chatzarakis, George E.; Dix, Julio G.:
Oscillations of nonlinear difference equations with deviating arguments.
(English).
Mathematica Bohemica,
vol. 143
(2018),
issue 1,
pp. 67-87
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Bai, Dingyong; Chen, Yuming:
Global continuum of positive solutions for discrete $p$-Laplacian eigenvalue problems.
(English).
Applications of Mathematics,
vol. 60
(2015),
issue 4,
pp. 343-353
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Chatzarakis, George E.; Kusano, Takaŝi; Stavroulakis, Ioannis P.:
Oscillation conditions for difference equations with several variable arguments.
(English).
Mathematica Bohemica,
vol. 140
(2015),
issue 3,
pp. 291-311
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Opluštil, Zdeněk:
Some notes on oscillation of two-dimensional system of difference equations.
(English).
Mathematica Bohemica,
vol. 139
(2014),
issue 2,
pp. 417-428
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Goodrich, Christopher S.:
Existence of a positive solution to a nonlocal semipositone boundary value problem on a time scale.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 54
(2013),
issue 4,
pp. 509-525
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Erbe, Lynn; Mert, Raziye; Peterson, Allan; Zafer, Ağacık:
Oscillation of even order nonlinear delay dynamic equations on time scales.
(English).
Czechoslovak Mathematical Journal,
vol. 63
(2013),
issue 1,
pp. 265-279
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Thandapani, E.; Selvarangam, S.:
Oscillation of third-order half-linear neutral difference equations.
(English).
Mathematica Bohemica,
vol. 138
(2013),
issue 1,
pp. 87-104
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Zhang, Xingyong; Tang, Xianhua:
Existence of solutions for a nonlinear discrete system involving the $p$-Laplacian.
(English).
Applications of Mathematics,
vol. 57
(2012),
issue 1,
pp. 11-30
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Hasil, Petr:
Criterion of $p$-criticality for one term $2n$-order difference operators.
(English).
Archivum Mathematicum,
vol. 47
(2011),
issue 2,
pp. 99-109
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Parhi, N.:
Non-oscillation of second order linear self-adjoint nonhomogeneous difference equations.
(English).
Mathematica Bohemica,
vol. 136
(2011),
issue 3,
pp. 241-258
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Chen, Zong-Xuan; Shon, Kwang Ho:
Properties of differences of meromorphic functions.
(English).
Czechoslovak Mathematical Journal,
vol. 61
(2011),
issue 1,
pp. 213-224
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Migda, Janusz:
Asymptotic properties of solutions of higher order difference equations.
(English).
Mathematica Bohemica,
vol. 135
(2010),
issue 1,
pp. 29-39
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Migda, Janusz:
Asymptotic properties of solutions of nonautonomous difference equations.
(English).
Archivum Mathematicum,
vol. 46
(2010),
issue 1,
pp. 1-11
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Zayed, E. M. E.; El-Moneam, M. A.:
On the rational recursive sequence $ x_{n+1}=\dfrac {\alpha_0x_n+\alpha_1x_{n-l}+\alpha _2x_{n-k}} {\beta_0x_n+\beta_1x_{n-l}+\beta_2x_{n-k}}$.
(English).
Mathematica Bohemica,
vol. 135
(2010),
issue 3,
pp. 319-336
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Schmeidel, Ewa:
Oscillation of nonlinear three-dimensional difference systems with delays.
(English).
Mathematica Bohemica,
vol. 135
(2010),
issue 2,
pp. 163-170
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Öcalan, Özkan:
Linearized Oscillation of Nonlinear Difference Equations with Advanced Arguments.
(English).
Archivum Mathematicum,
vol. 45
(2009),
issue 3,
pp. 203-212
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Andruch-Sobiło, Anna; Drozdowicz, Andrzej:
Asymptotic behaviour of solutions of third order nonlinear difference equations of neutral type.
(English).
Mathematica Bohemica,
vol. 133
(2008),
issue 3,
pp. 247-258
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Elabbasy, E. M.; El-Metwally, H.; Elsayed, E. M.:
On the difference equation $x_{n+1}=\dfrac{a_{0}x_{n}+a_{1}x_{n-1}+\dots +a_{k}x_{n-k}}{b_{0}x_{n}+b_{1}x_{n-1}+\dots +b_{k}x_{n-k}} $.
(English).
Mathematica Bohemica,
vol. 133
(2008),
issue 2,
pp. 133-147
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Zayed, E. M. E.; El-Moneam, M. A.:
On the rational recursive sequence $ \ x_{n+1}=\Big ( A+\sum _{i=0}^k\alpha _ix_{n-i}\Big ) \Big / \sum _{i=0}^k\beta _ix_{n-i} $.
(English).
Mathematica Bohemica,
vol. 133
(2008),
issue 3,
pp. 225-239
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Parhi, N.; Panda, Anita:
Oscillatory and nonoscillatory behaviour of solutions of difference equations of the third order.
(English).
Mathematica Bohemica,
vol. 133
(2008),
issue 1,
pp. 99-112
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Philos, Ch. G; Purnaras, I. K.:
On the behavior of the solutions to autonomous linear difference equations with continuous variable.
(English).
Archivum Mathematicum,
vol. 43
(2007),
issue 2,
pp. 133-155
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Elabbasy, Elmetwally M.; Saker, Samir H.; El-Metwally, Hamdy:
Oscillation and stability of nonlinear discrete models exhibiting the Allee effect.
(English).
Mathematica Slovaca,
vol. 57
(2007),
issue 3,
pp. [243]-258
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Benchohra, Mouffak; Hamani, Samira; Henderson, Johnny:
Oscillatory and nonoscillatory solutions for first order impulsive dynamic inclusions on time scales.
(English).
Archivum Mathematicum,
vol. 43
(2007),
issue 4,
pp. 237-250
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Cecchi, Mariella; Došlá, Zuzana; Marini, Mauro; Vrkoč, Ivo:
Asymptotic properties for half-linear difference equations.
(English).
Mathematica Bohemica,
vol. 131
(2006),
issue 4,
pp. 347-363
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Dijk, Nico M. van; Sladký, Karel:
Monotonicity and comparison results for nonnegative dynamic systems. Part I: Discrete-time case.
(English).
Kybernetika,
vol. 42
(2006),
issue 1,
pp. 37-56
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Dijk, Nico M. van; Sladký, Karel:
Monotonicity and comparison results for nonnegative dynamic systems. Part II: Continuous-time case.
(English).
Kybernetika,
vol. 42
(2006),
issue 2,
pp. 161-180
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Migda, Małgorzata; Zhang, Guang:
On unstable neutral difference equations with ``maxima''.
(English).
Mathematica Slovaca,
vol. 56
(2006),
issue 4,
pp. 451-463
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Kim, Young-Ho:
On some discrete inequalities in two independent variables.
(English).
Czechoslovak Mathematical Journal,
vol. 55
(2005),
issue 1,
pp. 113-124
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Migda, Małgorzata; Schmeidel, Ewa; Zbąszyniak, Małgorzata:
On the existence of solutions of some second order nonlinear difference equations.
(English).
Archivum Mathematicum,
vol. 41
(2005),
issue 4,
pp. 379-388
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Migda, Janusz:
Asymptotic behavior of solutions of nonlinear difference equations.
(English).
Mathematica Bohemica,
vol. 129
(2004),
issue 4,
pp. 349-359
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Saker, Samir H.; Cheng, Sui Sun:
Kamenev type oscillation criteria for nonlinear difference equations.
(English).
Czechoslovak Mathematical Journal,
vol. 54
(2004),
issue 4,
pp. 955-967
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Baštinec, Jaromír; Diblík, Josef:
One case of appearance of positive solutions of delayed discrete equations.
(English).
Applications of Mathematics,
vol. 48
(2003),
issue 6,
pp. 429-436
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Thandapani, E.; Mahalingam, K.:
Oscillation and nonoscillation of second order neutral delay difference equations.
(English).
Czechoslovak Mathematical Journal,
vol. 53
(2003),
issue 4,
pp. 935-947
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Luo, X. N.; Zhou, Yong; Li, C. F.:
Oscillation of a nonlinear difference equation with several delays.
(English).
Mathematica Bohemica,
vol. 128
(2003),
issue 3,
pp. 309-317
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Parhi, N.; Tripathy, A. K.:
Oscillation of forced nonlinear neutral delay difference equations of first order.
(English).
Czechoslovak Mathematical Journal,
vol. 53
(2003),
issue 1,
pp. 83-101
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Došlá, Zuzana; Škrabáková, Denisa:
Phases of linear difference equations and symplectic systems.
(English).
Mathematica Bohemica,
vol. 128
(2003),
issue 3,
pp. 293-308
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Morchało, Jarosław:
Asymptotic properties of solutions of second-order difference equations.
(English).
Archivum Mathematicum,
vol. 38
(2002),
issue 1,
pp. 15-26
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Graef, J. R.; Qian, C.:
Global attractivity of the equilibrium of a nonlinear difference equation.
(English).
Czechoslovak Mathematical Journal,
vol. 52
(2002),
issue 4,
pp. 757-769
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Grace, S. R.; Kulenović, M. R. S.; El-Metwally, H.:
On the stability of solutions of certain systems of differential equations with piecewise constant argument.
(English).
Czechoslovak Mathematical Journal,
vol. 52
(2002),
issue 3,
pp. 449-461
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Zhang, B. G.; Sun, Y. J.:
Existence of nonoscillatory solutions of a class of nonlinear difference equations with a forced term.
(English).
Mathematica Bohemica,
vol. 126
(2001),
issue 3,
pp. 639-647
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Drábek, Pavel; Thompson, H. Bevan; Tisdell, Christopher:
Multipoint boundary value problems for discrete equations.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 42
(2001),
issue 3,
pp. 459-468
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Thandapani, E.; Ravi, K.:
On the oscillation of Volterra summation equations.
(English).
Mathematica Bohemica,
vol. 126
(2001),
issue 1,
pp. 41-52
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Řehák, Pavel:
Oscillatory properties of second order half-linear difference equations.
(English).
Czechoslovak Mathematical Journal,
vol. 51
(2001),
issue 2,
pp. 303-321
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Petropoulou, Eugenia N.; Siafarikas, Panayiotis D.:
Bounded solutions and asymptotic stability of nonlinear difference equations in the complex plane.
(English).
Archivum Mathematicum,
vol. 36
(2000),
issue 2,
pp. 139-158
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Mařík, Robert:
Comparison theorems for half-linear second order difference equations.
(English).
Archivum Mathematicum,
vol. 36
(2000),
issue 5,
pp. 513-518
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Matucci, Serena:
The $l^p$ trichotomy for difference systems and applications.
(English).
Archivum Mathematicum,
vol. 36
(2000),
issue 5,
pp. 519-529
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Ronto, Andrei:
A note on the periodicity in difference equations.
(English).
Archivum Mathematicum,
vol. 36
(2000),
issue 5,
pp. 575-584
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Petropoulou, Eugenia N.:
On some specific nonlinear ordinary difference equations.
(English).
Archivum Mathematicum,
vol. 36
(2000),
issue 5,
pp. 549-562
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Grace, S. R.; El-Morshedy, H. A.:
On the oscillation of certain difference equations.
(English).
Mathematica Bohemica,
vol. 125
(2000),
issue 4,
pp. 421-430
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Grace, S. R.; Hamedani, G. G.:
On the oscillation of certain neutral difference equations.
(English).
Mathematica Bohemica,
vol. 125
(2000),
issue 3,
pp. 307-321
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Grace, S. R.:
Oscillation of certain difference equations.
(English).
Czechoslovak Mathematical Journal,
vol. 50
(2000),
issue 2,
pp. 347-358
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Došlý, Ondřej:
Oscillation Theory of Linear Difference Equations.
(English).
Archivum Mathematicum,
vol. 36
(2000),
issue 5,
pp. 329-342
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Zafer, Ağacik; Yalçin, Yasemin; Yilmaz, Yeter Ş.:
Positive solutions and oscillation of higher order neutral difference equations.
(English).
Archivum Mathematicum,
vol. 36
(2000),
issue 5,
pp. 623-636
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Răsvan, Vladimir:
Stability zones for discrete time Hamiltonian systems.
(English).
Archivum Mathematicum,
vol. 36
(2000),
issue 5,
pp. 563-573
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Kratz, Werner:
Sturm-Liouville difference equations and banded matrices.
(English).
Archivum Mathematicum,
vol. 36
(2000),
issue 5,
pp. 499-505
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Vitásek, Emil:
Transfer of boundary conditions for difference equations.
(English).
Applications of Mathematics,
vol. 45
(2000),
issue 6,
pp. 469-479
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Peňa, Simón:
Discrete spectra criteria for singular difference operators.
(English).
Mathematica Bohemica,
vol. 124
(1999),
issue 1,
pp. 35-44
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Thandapani, E.; Ramuppillai, L.:
Necessary and sufficient conditions for the oscillation of forced nonlinear second order delay difference equation.
(English).
Kybernetika,
vol. 35
(1999),
issue 4,
pp. [499]-506
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Popenda, Jerzy; Schmeidel, Ewa:
On the asymptotically periodic solution of some linear difference equations.
(English).
Archivum Mathematicum,
vol. 35
(1999),
issue 1,
pp. 13-19
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Migda, Małgorzata; Schmeidel, Ewa:
Some properties of solutions of a class of nonlinear difference equations.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 38
(1999),
issue 1,
pp. 131-137
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Morchało, Jarosław:
Asymptotic equivalence of difference equations.
(English).
Mathematica Slovaca,
vol. 48
(1998),
issue 1,
pp. 57-68
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Migda, Małgorzata; Migda, Janusz:
Asymptotic properties of the solutions of the second order difference equation.
(English).
Archivum Mathematicum,
vol. 34
(1998),
issue 4,
pp. 467-476
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Došlý, Ondřej; Řehák, Pavel:
Conjugacy criteria for second order linear difference equations.
(English).
Archivum Mathematicum,
vol. 34
(1998),
issue 2,
pp. 301-310
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Hoshino, K.; Kikuchi, N.:
Gehring theory for time-discrete hyperbolic differential equations.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 39
(1998),
issue 4,
pp. 697-707
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Ramayyan, A.; Thandapani, E.:
Second order linear difference equations over discrete Hardy fields.
(English).
Kybernetika,
vol. 34
(1998),
issue 2,
pp. [181]-187
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Wong, P. J. Y.; Agarwal, Ravi P.:
The oscillation of an $m$th order perturbed nonlinear difference equation.
(English).
Archivum Mathematicum,
vol. 32
(1996),
issue 1,
pp. 13-27
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Thandapani, E.; Sundaram, P.; Graef, John R.; Miciano, A.; Spikes, Paul W.:
Classification of nonoscillatory solutions of higher order neutral type difference equations.
(English).
Archivum Mathematicum,
vol. 31
(1995),
issue 4,
pp. 263-277
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Khan, Mumtaz Ahmad:
On some operational representations of $q$-polynomials.
(English).
Czechoslovak Mathematical Journal,
vol. 45
(1995),
issue 3,
pp. 457-464
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Thandapani, E.; Pandian, S.:
Oscillation theorems for certain second order perturbed nonlinear difference equations.
(English).
Czechoslovak Mathematical Journal,
vol. 45
(1995),
issue 4,
pp. 757-766
-
Thandapani, E.:
Oscillation theorems for second order damped nonlinear difference equations.
(English).
Czechoslovak Mathematical Journal,
vol. 45
(1995),
issue 2,
pp. 327-335
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Medveď, Milan:
Special solutions of linear difference equations with infinite delay.
(English).
Archivum Mathematicum,
vol. 30
(1994),
issue 2,
pp. 139-144
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Laitochová, Jitka:
Fundamental central dispersions of the phase function with the final oscillation.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 32
(1993),
issue 1,
pp. 111-122
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Kwapisz, Marian:
On modification of Samoilenko's numerical-analytic method of solving boundary value problems for difference equations.
(English).
Applications of Mathematics,
vol. 38
(1993),
issue 2,
pp. 133-144
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Pycia, Marek:
On a general solution of finite order difference equation with constant coefficients.
(English).
Archivum Mathematicum,
vol. 28
(1992),
issue 2,
pp. 237-240
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Petek, Peter:
A correction to “Cayley's problem”, AM 35 (1990) No. 2, 140-146.
(English).
Applications of Mathematics,
vol. 36
(1991),
issue 2,
pp. 156-157
-
Laitoch, Miroslav:
The method of variation of parameters in the theory of linear sequences.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 30
(1991),
issue 1,
pp. 211-218
-
Mieloszyk, Eligiusz:
Boundary value problem for a difference equation.
(English).
Czechoslovak Mathematical Journal,
vol. 40
(1990),
issue 3,
pp. 361-366
-
Petek, Peter:
Cayley's problem.
(English).
Aplikace matematiky,
vol. 35
(1990),
issue 2,
pp. 140-146
-
Gregor, Jiří:
The multidimensional $z$-transform and its use in solution of partial difference equations.
(English).
Kybernetika,
vol. 24
(1988),
issue 7,
pp. (1),3-39
-
Kurzweil, Jaroslav; Papaschinopoulos, Garyfalos:
Structural stability of linear discrete systems via the exponential dichotomy.
(English).
Czechoslovak Mathematical Journal,
vol. 38
(1988),
issue 2,
pp. 280-284
-
Laitoch, Miroslav:
To the theory of linear difference equations with constant coefficients.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 27
(1988),
issue 1,
pp. 91-110
-
Medveď, Milan:
Almost Floquet linear difference equations.
(English).
Mathematica Slovaca,
vol. 37
(1987),
issue 4,
pp. 367-373
-
Bosák, Miroslav; Gregor, Jiří:
On generalized difference equations.
(English).
Aplikace matematiky,
vol. 32
(1987),
issue 3,
pp. 224-239
-
Agarwal, Ravi P.:
Initial and boundary value problems for $n$-th order difference equations.
(English).
Mathematica Slovaca,
vol. 36
(1986),
issue 1,
pp. 39-47
-
Papaschinopoulos, Garyfalos; Schinas, John:
Criteria for an exponential dichotomy of difference equations.
(English).
Czechoslovak Mathematical Journal,
vol. 35
(1985),
issue 2,
pp. 295-299
-
Zaballa, Ion; Gracia, Juan M.:
On difference linear periodic systems II. Non-homogeneous case.
(English).
Aplikace matematiky,
vol. 30
(1985),
issue 6,
pp. 403-412
-
Laitoch, Miroslav:
To the theory of linear difference equations.
(English).
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica,
vol. 23
(1984),
issue 1,
pp. 11-24
-
Zörnig, Pavel:
On difference equations and discrete systems.
(English).
Kybernetika,
vol. 19
(1983),
issue 3,
pp. 225-236
-
Zaballa, Ion; Gracia, Juan M.:
On difference linear periodic systems. I. Homogeneous case.
(English).
Aplikace matematiky,
vol. 28
(1983),
issue 4,
pp. 241-248
-
Somer, Josef:
Geschlossene äquiforme Bewegungen der Räume endlicher Dimension.
(German) [Closed equiform motions in finite dimensional spaces].
Aplikace matematiky,
vol. 24
(1979),
issue 4,
pp. 304-314
-
Prouza, Ludvík:
On the weight matrices of linear difference equations.
(English).
Kybernetika,
vol. 12
(1976),
issue 1,
pp. (1)-6
-
Šedová, Dagmar:
Beweis eines Perronschen Satzes.
(German) [A proof of a theorem of Perron].
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika,
vol. 13
(1973),
issue 1,
pp. 97-105
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Šedová, Dagmar:
Verallgemeinerung der Sätze von Poincaré und Perron für Systeme von Differenzengleichungen im linearen Raum.
(German) [A generalization of the theorem of Poincaré and Perron for a system of differential equations in a linear space].
Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika,
vol. 13
(1973),
issue 1,
pp. 91-95
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Voňka, Petr:
Stability and local error of difference methods for the solution of the ordinary differential equation of the first order.
(English).
Aplikace matematiky,
vol. 17
(1972),
issue 1,
pp. 18-27
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Vlček, Vladimír:
Transformace některých nelineárních diferenčních rovnic na nehomogenní lineární diferenční rovnici 1. řádu.
(Czech) [Transformation of certain nonlinear difference equations to an inhomogeneous linear difference equation of order one].
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica-Physica-Chemica,
vol. 11
(1971),
issue 1,
pp. 131-146
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Laitoch, Miroslav:
Lineární posloupnosti.
(Czech) [Linear sequences].
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica-Physica-Chemica,
vol. 9
(1968),
issue 1,
pp. 51-67