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39A11 Stability and asymptotics of difference equations; oscillatory and periodic solutions, etc. (53 articles)

• Morchało, Jarosław: Stability problems for linear differential and difference systems. (English). Archivum Mathematicum, vol. 45 (2009), issue 3, pp. 189-202
• 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
• Cinar, Cengiz; Karatas, Ramazan; Yalçınkaya, Ibrahim: On solutions of the difference equation $x_{n+1}=x_{n-3}/(-1+x_{n}x_{n-1}x_{n-2}x_{n-3})$. (English). Mathematica Bohemica, vol. 132 (2007), issue 3, pp. 257-261
• 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
• Liu, Yuji: Periodic solutions of second order nonlinear functional difference equations. (English). Archivum Mathematicum, vol. 43 (2007), issue 1, pp. 67-74
• 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
• Bereanu, Cristian; Mawhin, Jean: Existence and multiplicity results for nonlinear second order difference equations with Dirichlet boundary conditions. (English). Mathematica Bohemica, vol. 131 (2006), issue 2, pp. 145-160
• Kalas, Josef: Asymptotic behaviour of a difference equation with complex-valued coefficients. (English). Archivum Mathematicum, vol. 41 (2005), issue 3, pp. 311-323
• Kuben, Jaromír: Asymptotic equivalence of systems of difference equations. (English). In: Fila, Marek, Handlovičová, A., Mikula, K., Medveď, Milan, Quittner, Pavol and Ševčovič, Daniel (eds.): Proceedings of Equadiff 11, International Conference on Differential Equations. Czecho-Slovak series, Bratislava, July 25-29, 2005. [Part 2] Minisymposia and contributed talks. Comenius University Press, Bratislava, 2007. pp. 189-196
• 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
• Andruch-Sobiło, Anna; Migda, Małgorzata: On the oscillation of solutions of third order linear difference equations of neutral type. (English). Mathematica Bohemica, vol. 130 (2005), issue 1, pp. 19-33
• Migda, Janusz: Asymptotic behavior of solutions of nonlinear difference equations. (English). Mathematica Bohemica, vol. 129 (2004), issue 4, pp. 349-359
• Jiang, Daqing; Zhang, Lili; O'Regan, Donal; Agarwal, Ravi P.: Existence theory for single and multiple solutions to singular positone discrete Dirichlet boundary value problems to the one-dimension $p$-Laplacian. (English). Archivum Mathematicum, vol. 40 (2004), issue 4, pp. 367-381
• 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
• von Kalckreuth, Ulf; Krtscha, Manfred: Stable solutions to homogeneous difference-differential equations with constant coefficients: Analytical instruments and an application to monetary theory. (English). Applications of Mathematics, vol. 49 (2004), issue 4, pp. 373-386
• 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 discrete Volterra equation. (English). Mathematica Slovaca, vol. 52 (2002), issue 1, pp. 47-56
• 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
• Drozdowicz, Andrzej; Migda, Janusz: On asymptotic behaviour of solutions of some difference equation. (English). Mathematica Slovaca, vol. 52 (2002), issue 2, pp. 207-214
• 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
• 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
• 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.; Hamedani, G. G.: On the oscillation of certain neutral difference equations. (English). Mathematica Bohemica, vol. 125 (2000), issue 3, pp. 307-321
• Cheng, Denghua; Yan, Jurang: Oscillation and global attractivity in a nonlinear delay difference equation. (English). Mathematica Slovaca, vol. 50 (2000), issue 3, pp. 335-344
• 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
• Grace, Said R.: Oscillatory behaviour of certain difference equations. (English). Mathematica Slovaca, vol. 50 (2000), issue 3, pp. 345-355
• Peňa, Simón: Discrete spectra criteria for singular difference operators. (English). Mathematica Bohemica, vol. 124 (1999), issue 1, pp. 35-44
• 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
• Thandapani, E.; Arul, R.: Oscillatory and asymptotic behavior of solutions of higher order damped nonlinear difference equations. (English). Czechoslovak Mathematical Journal, vol. 49 (1999), issue 1, pp. 149-161
• Koliha, J. J.; Straškraba, Ivan: Power bounded and exponentially bounded matrices. (English). Applications of Mathematics, vol. 44 (1999), issue 4, pp. 289-308
• 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
• 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
• Thandapani, E.; Ramuppillai, L.: Oscillatory and asymptotic behaviour of perturbed quasilinear second order difference equations. (English). Archivum Mathematicum, vol. 34 (1998), issue 4, pp. 455-466
• Thandapani, Ethiraju; Sundaram, P.; Graef, John R.; Spikes, Paul W.: Asymptotic behaviour and oscillation of solutions of neutral delay difference equations of arbitrary order. (English). Mathematica Slovaca, vol. 47 (1997), issue 5, pp. 539-551
• 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
• Medveď, Milan: Almost Floquet linear difference equations. (English). Mathematica Slovaca, vol. 37 (1987), issue 4, pp. 367-373
• 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
• Prouza, Ludvík: On the bounded input-bounded output stability of a second-order linear difference equation. (English). Kybernetika, vol. 21 (1985), issue 4, pp. 313-322