• DML-CZ Home

39A10 Difference equations, additive (89 articles)

• 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
• Thandapani, E.; Selvarangam, S.: Oscillation of third-order half-linear neutral difference equations. (English). Mathematica Bohemica, vol. 138 (2013), issue 1, pp. 87-104
• 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
• Hasil, Petr: Criterion of $p$-criticality for one term $2n$-order difference operators. (English). Archivum Mathematicum, vol. 47 (2011), issue 2, pp. 99-109
• Parhi, N.: Non-oscillation of second order linear self-adjoint nonhomogeneous difference equations. (English). Mathematica Bohemica, vol. 136 (2011), issue 3, pp. 241-258
• Chen, Zong-Xuan; Shon, Kwang Ho: Properties of differences of meromorphic functions. (English). Czechoslovak Mathematical Journal, vol. 61 (2011), issue 1, pp. 213-224
• Migda, Janusz: Asymptotic properties of solutions of higher order difference equations. (English). Mathematica Bohemica, vol. 135 (2010), issue 1, pp. 29-39
• Migda, Janusz: Asymptotic properties of solutions of nonautonomous difference equations. (English). Archivum Mathematicum, vol. 46 (2010), issue 1, pp. 1-11
• Schmeidel, Ewa: Oscillation of nonlinear three-dimensional difference systems with delays. (English). Mathematica Bohemica, vol. 135 (2010), issue 2, pp. 163-170
• Öcalan, Özkan: Linearized Oscillation of Nonlinear Difference Equations with Advanced Arguments. (English). Archivum Mathematicum, vol. 45 (2009), issue 3, pp. 203-212
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• 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
• Migda, Małgorzata; Zhang, Guang: On unstable neutral difference equations with ``maxima''. (English). Mathematica Slovaca, vol. 56 (2006), issue 4, pp. 451-463
• Kim, Young-Ho: On some discrete inequalities in two independent variables. (English). Czechoslovak Mathematical Journal, vol. 55 (2005), issue 1, pp. 113-124
• 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
• Migda, Janusz: Asymptotic behavior of solutions of nonlinear difference equations. (English). Mathematica Bohemica, vol. 129 (2004), issue 4, pp. 349-359
• 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
• 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
• 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
• 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
• 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
• Došlá, Zuzana; Škrabáková, Denisa: Phases of linear difference equations and symplectic systems. (English). Mathematica Bohemica, vol. 128 (2003), issue 3, pp. 293-308
• Morchało, Jarosław: Asymptotic properties of solutions of second-order difference equations. (English). Archivum Mathematicum, vol. 38 (2002), issue 1, pp. 15-26
• 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
• 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
• Baštinec, Jaromír; Diblík, Josef: Asymptotic behaviour of solutions of linear discrete equations. (English). In: Kuben, J. and Vosmanský, J. (eds.): Equadiff 10, Czechoslovak International Conference on Differential Equations and Their Applications, Prague, August 27-31, 2001. [Part 2] Papers. Masaryk University, Brno, 2002. pp. 21-23
• 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
• 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
• Marini, Mauro; Matucci, Serena; Řehák, Pavel: Nonoscillatory solutions for nonlinear discrete systems. (English). In: Kuben, J. and Vosmanský, J. (eds.): Equadiff 10, Czechoslovak International Conference on Differential Equations and Their Applications, Prague, August 27-31, 2001. [Part 2] Papers. Masaryk University, Brno, 2002. pp. 289-296
• Thandapani, E.; Ravi, K.: On the oscillation of Volterra summation equations. (English). Mathematica Bohemica, vol. 126 (2001), issue 1, pp. 41-52
• Řehák, Pavel: Oscillatory properties of second order half-linear difference equations. (English). Czechoslovak Mathematical Journal, vol. 51 (2001), issue 2, pp. 303-321
• 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
• Mařík, Robert: Comparison theorems for half-linear second order difference equations. (English). Archivum Mathematicum, vol. 36 (2000), issue 5, pp. 513-518
• Matucci, Serena: The $l^p$ trichotomy for difference systems and applications. (English). Archivum Mathematicum, vol. 36 (2000), issue 5, pp. 519-529
• Ronto, Andrei: A note on the periodicity in difference equations. (English). Archivum Mathematicum, vol. 36 (2000), issue 5, pp. 575-584
• Petropoulou, Eugenia N.: On some specific nonlinear ordinary difference equations. (English). Archivum Mathematicum, vol. 36 (2000), issue 5, pp. 549-562
• 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
• Grace, S. R.: Oscillation of certain difference equations. (English). Czechoslovak Mathematical Journal, vol. 50 (2000), issue 2, pp. 347-358
• Došlý, Ondřej: Oscillation Theory of Linear Difference Equations. (English). Archivum Mathematicum, vol. 36 (2000), issue 5, pp. 329-342
• 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
• Răsvan, Vladimir: Stability zones for discrete time Hamiltonian systems. (English). Archivum Mathematicum, vol. 36 (2000), issue 5, pp. 563-573
• Kratz, Werner: Sturm-Liouville difference equations and banded matrices. (English). Archivum Mathematicum, vol. 36 (2000), issue 5, pp. 499-505
• Vitásek, Emil: Transfer of boundary conditions for difference equations. (English). Applications of Mathematics, vol. 45 (2000), issue 6, pp. 469-479
• 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
• 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
• Morchało, Jarosław: Asymptotic equivalence of difference equations. (English). Mathematica Slovaca, vol. 48 (1998), issue 1, pp. 57-68
• 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
• Došlý, Ondřej; Řehák, Pavel: Conjugacy criteria for second order linear difference equations. (English). Archivum Mathematicum, vol. 34 (1998), issue 2, pp. 301-310
• 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
• Ramayyan, A.; Thandapani, E.: Second order linear difference equations over discrete Hardy fields. (English). Kybernetika, vol. 34 (1998), issue 2, pp. [181]-187
• El-Sayed, Ahmed M. A.: Abstract differential equations of arbitrary (fractional) orders. (English). In: Došlá, Z., Kuben, J. and Vosmanský, J. (eds.): Proceedings of Equadiff 9, Conference on Differential Equations and Their Applications, Brno, August 25-29, 1997. [Part 3] Papers. Masaryk University, Brno, 1998. pp. 93-99
• Wong, Patricia J. Y.: Asymptotic behavior of solutions of partial difference inequalities. (English). In: Došlá, Z., Kuben, J. and Vosmanský, J. (eds.): Proceedings of Equadiff 9, Conference on Differential Equations and Their Applications, Brno, August 25-29, 1997. [Part 3] Papers. Masaryk University, Brno, 1998. pp. 319-330
• Došlý, Ondřej: Transformations and oscillatory properties of linear Hamiltonian systems -- continuous versus discret. (English). In: Agarwal, Ravi P., Neuman, F. and Vosmanský, J. (eds.): Proceedings of Equadiff 9, Conference on Differential Equations and Their Applications, Brno, August 25-29, 1997. [Part 1] Survey papers. Masaryk University, Brno, 1998. pp. 49-61
• 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
• 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
• Khan, Mumtaz Ahmad: On some operational representations of $q$-polynomials. (English). Czechoslovak Mathematical Journal, vol. 45 (1995), issue 3, pp. 457-464
• 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
• Medveď, Milan: Special solutions of linear difference equations with infinite delay. (English). Archivum Mathematicum, vol. 30 (1994), issue 2, pp. 139-144
• 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
• 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
• 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
• 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
• 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
• 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
• 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