• DML-CZ Home

34K11 Oscillation theory (95 articles)

• Kiliç, Nurten; Öcalan, Özkan; Yildiz, Mustafa Kemal: An improved oscillation theorem for nonlinear differential equations of advanced type. (English). Archivum Mathematicum, vol. 60 (2024), issue 3, pp. 145-152
• Öcalan, Özkan; Kiliç, Nurten: Oscillation conditions for first-order nonlinear advanced differential equations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 64 (2023), issue 2, pp. 253-263
• Tripathy, Arun Kumar: Oscillation criteria for two dimensional linear neutral delay difference systems. (English). Mathematica Bohemica, vol. 148 (2023), issue 4, pp. 447-460
• Haškovec, Jan: Asymptotic and exponential decay in mean square for delay geometric Brownian motion. (English). Applications of Mathematics, vol. 67 (2022), issue 4, pp. 471-483
• Tripathy, Arun K.; Santra, Shyam S.: Necessary and sufficient conditions for oscillation of second-order differential equations with nonpositive neutral coefficients. (English). Mathematica Bohemica, vol. 146 (2021), issue 2, pp. 185-197
• Chatzarakis, George E.: Oscillation of deviating differential equations. (English). Mathematica Bohemica, vol. 145 (2020), issue 4, pp. 435-448
• Chatzarakis, George E.; Jadlovská, Irena: Oscillation in deviating differential equations using an iterative method. (English). Communications in Mathematics, vol. 27 (2019), issue 2, pp. 143-169
• Labovskiy, Sergey; Alves, Manuel: On non-oscillation on semi-axis of solutions of second order deviating differential equations. (English). Mathematica Bohemica, vol. 143 (2018), issue 4, pp. 355-376
• Oztepe, Gizem S.; Karakoc, Fatma; Bereketoglu, Huseyin: Oscillation and Periodicity of a Second Order Impulsive Delay Differential Equation with a Piecewise Constant Argument. (English). Communications in Mathematics, vol. 25 (2017), issue 2, pp. 89-98
• Shoukaku, Yutaka: Oscillation criteria for nonlinear differential equations with $p(t)$-Laplacian. (English). Mathematica Bohemica, vol. 141 (2016), issue 1, pp. 71-81
• Domoshnitsky, Alexander; Volinsky, Irina: About differential inequalities for nonlocal boundary value problems with impulsive delay equations. (English). Mathematica Bohemica, vol. 140 (2015), issue 2, pp. 121-128
• Li, Tongxing; Rogovchenko, Yuriy V.; Zhang, Chenghui: Oscillation of fourth-order quasilinear differential equations. (English). Mathematica Bohemica, vol. 140 (2015), issue 4, pp. 405-418
• Baculíková, Blanka; Džurina, Jozef: Oscillation of the third order Euler differential equation with delay. (English). Mathematica Bohemica, vol. 139 (2014), issue 4, pp. 649-655
• 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
• Baculíková, Blanka; Džurina, Jozef: On property (B) of higher order delay differential equations. (English). Archivum Mathematicum, vol. 48 (2012), issue 4, pp. 301-309
• López, Emanuel; Molgado, Alberto; Vallejo, José A.: The principle of stationary action in the calculus of variations. (English). Communications in Mathematics, vol. 20 (2012), issue 2, pp. 89-116
• Thandapani, E.; Li, Tongxing: On the oscillation of third-order quasi-linear neutral functional differential equations. (English). Archivum Mathematicum, vol. 47 (2011), issue 3, pp. 181-199
• Bartušek, Miroslav; Cecchi, Mariella; Došlá, Zuzana; Marini, Mauro: Positive solutions of third order damped nonlinear differential equations. (English). Mathematica Bohemica, vol. 136 (2011), issue 2, pp. 205-213
• Opluštil, Zdeněk; Šremr, Jiří: Some oscillation criteria for the second-order linear delay differential equation. (English). Mathematica Bohemica, vol. 136 (2011), issue 2, pp. 195-204
• Koplatadze, R.: On asymptotic behavior of solutions of $n$-th order Emden-Fowler differential equations with advanced argument. (English). Czechoslovak Mathematical Journal, vol. 60 (2010), issue 3, pp. 817-833
• Saker, S. H.; Džurina, J.: On the oscillation of certain class of third-order nonlinear delay differential equations. (English). Mathematica Bohemica, vol. 135 (2010), issue 3, pp. 225-237
• Öcalan, Özkan: Linearized Oscillation of Nonlinear Difference Equations with Advanced Arguments. (English). Archivum Mathematicum, vol. 45 (2009), issue 3, pp. 203-212
• Agarwal, Ravi P.; Aktas, Mustafa F.; Tiryaki, A.: On oscillation criteria for third order nonlinear delay differential equations. (English). Archivum Mathematicum, vol. 45 (2009), issue 1, pp. 1-18
• Džurina, Jozef; Kotorová, Renáta: Asymptotic properties of trinomial delay differential equations. (English). Archivum Mathematicum, vol. 44 (2008), issue 2, pp. 149-158
• Yang, Qi Gui; Cheng, Sui-Sun: Oscillation theorems for certain even order neutral differential equations. (English). Archivum Mathematicum, vol. 43 (2007), issue 2, pp. 105-122
• Rath, Radhanath N.; Misra, Niyati; Padhy, Laxmi N.: Oscillatory and asymptotic behaviour of a nonlinear second order neutral differential equation. (English). Mathematica Slovaca, vol. 57 (2007), issue 2, pp. [157]-170
• Baculíková, Blanka: Oscillation criteria for second order nonlinear differential equations. (English). Archivum Mathematicum, vol. 42 (2006), issue 2, pp. 141-149
• Saker, Samir H.: Oscillation criteria of third-order nonlinear delay differential equations. (English). Mathematica Slovaca, vol. 56 (2006), issue 4, pp. 433-450
• Zhou, Yong; Zhang, B. G.; Huang, Y. Q.: Existence for nonoscillatory solutions of higher order nonlinear neutral differential equations. (English). Czechoslovak Mathematical Journal, vol. 55 (2005), issue 1, pp. 237-253
• Parhi, N.; Tripathy, A. K.: On oscillatory fourth order nonlinear neutral differential equations. II. (English). Mathematica Slovaca, vol. 55 (2005), issue 2, pp. 183-202
• Mojsej, Ivan; Ohriska, Ján: On third order advanced nonlinear differential 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. 293-301
• Pedro, Ana: Oscillation and nonoscillation criteria for retarded functional differential 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. 353-362
• Špániková, Eva: Oscillation of differential systems of neutral type. (English). Czechoslovak Mathematical Journal, vol. 55 (2005), issue 1, pp. 263-271
• Bačová, Beatrix; Dorociaková, Božena: Oscillation of nonlinear differential systems with retarded arguments. (English). Czechoslovak Mathematical Journal, vol. 55 (2005), issue 1, pp. 255-262
• Džurina, Jozef; Pirč, Viktor: Oscillation of unstable second order neutral differential equations with mixed argument. (English). Mathematica Bohemica, vol. 130 (2005), issue 3, pp. 323-333
• Bolat, Yaşar; Akin, Ömer: Oscillatory behaviour of a higher order nonlinear neutral delay type functional differential equation with oscillating coefficients. (English). Czechoslovak Mathematical Journal, vol. 55 (2005), issue 4, pp. 893-900
• Olach, Rudolf; Šamajová, Helena: Oscillatory properties of nonlinear differential systems with retarded arguments. (English). Mathematica Slovaca, vol. 55 (2005), issue 3, pp. 307-316
• Rath, R. N.; Misra, N.: Necessary and sufficient conditions for oscillatory behaviour of solutions of a forced nonlinear neutral equation of first order with positive and negative coefficients. (English). Mathematica Slovaca, vol. 54 (2004), issue 3, pp. 255-266
• Parhi, N.; Rath, Radhanath N.: On oscillation criteria for forced nonlinear higher order neutral differential equations. (English). Mathematica Slovaca, vol. 54 (2004), issue 4, pp. 369-388
• Špániková, Eva: On oscillation of differential systems of neutral type. (English). Archivum Mathematicum, vol. 40 (2004), issue 3, pp. 263-271
• Parhi, N.; Tripathy, A. K.: On oscillatory fourth order nonlinear neutral differential equations. I. (English). Mathematica Slovaca, vol. 54 (2004), issue 4, pp. 389-410
• Olach, Rudlolf: Oscillation and nonoscillation of first order nonlinear delay differential equations. (English). Acta Mathematica Universitatis Ostraviensis, vol. 12 (2004), issue 1, pp. 41-47
• Luo, Zhiguo; Shen, Jianhua: Oscillation and nonoscillation of neutral differential equations with positive and negative coefficients. (English). Czechoslovak Mathematical Journal, vol. 54 (2004), issue 1, pp. 79-93
• Džurina, Jozef: Oscillation criteria for second order nonlinear retarded differential equations. (English). Mathematica Slovaca, vol. 54 (2004), issue 3, pp. 245-253
• Wang, Peiguang; Wang, Min: Oscillation of a class of higher order neutral differential equations. (English). Archivum Mathematicum, vol. 40 (2004), issue 2, pp. 201-208
• Rath, R. N.; Padhy, L. N.; Misra, N.: Oscillation of solutions of non-linear neutral delay differential equations of higher order for $p(t)=\pm 1$. (English). Archivum Mathematicum, vol. 40 (2004), issue 4, pp. 359-366
• Džurina, Jozef: Oscillation theorems for neutral differential equations of higher order. (English). Czechoslovak Mathematical Journal, vol. 54 (2004), issue 1, pp. 107-117
• Parhi, N.; Rath, R. N.: Oscillatory behaviour of solutions of nonlinear higher order neutral differential equations. (English). Mathematica Bohemica, vol. 129 (2004), issue 1, pp. 11-27
• Koplatadze, R.; Partsvania, N. L.; Stavroulakis, I. P.: Asymptotic behaviour of solutions of two-dimensional linear differential systems with deviating arguments. (English). Archivum Mathematicum, vol. 39 (2003), issue 3, pp. 213-232
• Mihalíková, Božena: Asymptotic behaviour of solutions of two-dimensional neutral differential systems. (English). Czechoslovak Mathematical Journal, vol. 53 (2003), issue 3, pp. 735-741
• Lacková, Dáša: The asymptotic properties of the solutions of the $n$-th order neutral differential equations. (English). Archivum Mathematicum, vol. 39 (2003), issue 3, pp. 179-185
• Rath, R. N.: Necessary and sufficient conditions for the nonoscillation of a first order neutral equation with several delays. (English). Mathematica Slovaca, vol. 53 (2003), issue 1, pp. 75-89
• Parhi, N.; Rath, R. N.: On oscillation of solutions of forced nonlinear neutral differential equations of higher order. (English). Czechoslovak Mathematical Journal, vol. 53 (2003), issue 4, pp. 805-825
• Džurina, Jozef: Asymptotic behavior of solutions of neutral nonlinear differential equations. (English). Archivum Mathematicum, vol. 38 (2002), issue 4, pp. 319-325
• Parhi, N.; Panigrahi, S.: Liapunov-type inequality for delay-differential equations of third order. (English). Czechoslovak Mathematical Journal, vol. 52 (2002), issue 2, pp. 385-399
• Džurina, Jozef: On unstable neutral differential equations of the second order. (English). Czechoslovak Mathematical Journal, vol. 52 (2002), issue 4, pp. 739-747
• He, Zhimin; Ge, Weigao: Oscillation in second order linear delay differential equations with nonlinear impulses. (English). Mathematica Slovaca, vol. 52 (2002), issue 3, pp. 331-341
• Kubiaczyk, Ireneusz; Saker, Samir H.: Oscillation of solutions to neutral delay differential equations. (English). Mathematica Slovaca, vol. 52 (2002), issue 3, pp. 343-359
• Parhi, N.; Padhi, Seshadev: Asymptotic behaviour of solutions of delay differential equations of $n$-th order. (English). Archivum Mathematicum, vol. 37 (2001), issue 2, pp. 81-101
• Lacková, Dáša: The asymptotic properties of the solutions of the $n$-th order neutral differential 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. 267-274
• Yilmaz, Y. Şahiner; Zafer, A.: Bounded oscillation of nonlinear neutral differential equations of arbitrary order. (English). Czechoslovak Mathematical Journal, vol. 51 (2001), issue 1, pp. 185-195
• Tanaka, Satoshi: Existence of positive solutions for a class of higher order neutral functional differential equations. (English). Czechoslovak Mathematical Journal, vol. 51 (2001), issue 3, pp. 573-583
• Shen, J. H.; Yu, J. S.: Linearized oscillation results for even-order neutral differential equations. (English). Czechoslovak Mathematical Journal, vol. 51 (2001), issue 1, pp. 1-13
• Olach, Rudolf: Oscillation of first order linear retarded equations. (English). Mathematica Slovaca, vol. 51 (2001), issue 5, pp. 547-557
• Peiguang, Wang; Yu, Yuan Hong: Oscillation of solutions for nonlinear second order neutral equations with deviating arguments. (English). Mathematica Slovaca, vol. 51 (2001), issue 2, pp. 205-213
• Džurina, Jozef: Unbounded oscillation of the second-order neutral differential equations. (English). Mathematica Slovaca, vol. 51 (2001), issue 4, pp. 441-447
• Kusano, Takaŝi; Marušiak, Pavol: Asymptotic properties of solutions of second order quasilinear functional differential equations of neutral type. (English). Mathematica Bohemica, vol. 125 (2000), issue 2, pp. 199-213
• Marušiak, Pavol; Janík, Vladimír: Asymptotic properties of solutions of the third order quasilinear neutral differential equations. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 39 (2000), issue 1, pp. 159-167
• Singh, Bhagat: The impact of unbounded swings of the forcing term on the asymptotic behavior of functional equations. (English). Czechoslovak Mathematical Journal, vol. 50 (2000), issue 1, pp. 15-24
• Parhi, N.; Chand, Sunita: On forced first order neutral differential equations with positive and negative coefficients. (English). Mathematica Slovaca, vol. 50 (2000), issue 1, pp. 81-94
• Singh, Bhagat: On nonoscillation of canonical or noncanonical disconjugate functional equations. (English). Czechoslovak Mathematical Journal, vol. 50 (2000), issue 3, pp. 627-639
• Džurina, Jozef; Mihalíková, Božena: Oscillation criteria for second order neutral differential equations. (English). Mathematica Bohemica, vol. 125 (2000), issue 2, pp. 145-153
• Parhi, N.: Oscillations of higher order differential equations of neutral type. (English). Czechoslovak Mathematical Journal, vol. 50 (2000), issue 1, pp. 155-173
• Grace, Said R.: Oscillatory behaviour of certain difference equations. (English). Mathematica Slovaca, vol. 50 (2000), issue 3, pp. 345-355
• Špániková, Eva: Oscillatory properties of solutions of three-dimensional differential systems of neutral type. (English). Czechoslovak Mathematical Journal, vol. 50 (2000), issue 4, pp. 879-887
• Ohriska, Jan: Sufficient conditions for nonoscillation of neutral equations. (English). Archivum Mathematicum, vol. 36 (2000), issue 5, pp. 543-548
• Graef, John R.; Yang, Bo; Zhang, B. G.: Existence of nonoscillatory and oscillatory solutions of neutral differential equations with positive and negative coefficients. (English). Mathematica Bohemica, vol. 124 (1999), issue 1, pp. 87-102
• Grace, S. R.: Oscillations of certain functional differential equations. (English). Czechoslovak Mathematical Journal, vol. 49 (1999), issue 1, pp. 45-52
• Diblík, Josef: Behaviour of solutions of linear differential equations with delay. (English). Archivum Mathematicum, vol. 34 (1998), issue 1, pp. 31-47
• Cecchi, M.; Došlá, Zuzana: Asymptotic behavior of solutions of third order delay differential equations. (English). Archivum Mathematicum, vol. 33 (1997), issue 1, pp. 99-108
• Džurina, Jozef: Oscillation of a second order delay differential equations. (English). Archivum Mathematicum, vol. 33 (1997), issue 3, pp. 309-314
• Šoltés, Vincent: Comparison and oscillation theorems for second order differential equations. (English). Mathematica Slovaca, vol. 46 (1996), issue 1, pp. 63-70
• Džurina, Jozef: Asymptotic properties of differential equations with deviating argument. (English). Czechoslovak Mathematical Journal, vol. 45 (1995), issue 2, pp. 337-345
• Džurina, Jozef: Asymptotic properties of third order delay differential equations. (English). Czechoslovak Mathematical Journal, vol. 45 (1995), issue 3, pp. 443-448
• Džurina, Jozef: A comparison theorem for linear delay differential equations. (English). Archivum Mathematicum, vol. 31 (1995), issue 2, pp. 113-120
• Džurina, Jozef: Comparison theorems for differential equations with deviating argument. (English). Mathematica Slovaca, vol. 45 (1995), issue 1, pp. 79-89
• Kozakiewicz, Erwin: Conditions for the absence of positive solutions of a first order differential inequality with a single delay. (English). Archivum Mathematicum, vol. 31 (1995), issue 4, pp. 291-297
• Das, P.: Oscillation of odd order neutral delay differential equation. (English). Czechoslovak Mathematical Journal, vol. 45 (1995), issue 2, pp. 241-251
• Džurina, Jozef: Oscillation of second order differential equations with advanced argument. (English). Mathematica Slovaca, vol. 45 (1995), issue 3, pp. 263-268
• Parhi, N.; Mohanty, P. K.: Oscillation of solutions of forced neutral differential equations of $n$-th order. (English). Czechoslovak Mathematical Journal, vol. 45 (1995), issue 3, pp. 413-433
• Kulenović, M. R. S.: Oscillation of the Euler differential equation with delay. (English). Czechoslovak Mathematical Journal, vol. 45 (1995), issue 1, pp. 1-6
• Grace, S. R.: Oscillation theorems of comparison type for neutral nonlinear functional differential equations. (English). Czechoslovak Mathematical Journal, vol. 45 (1995), issue 4, pp. 609-626
• Grammatikopoulos, M. K.; Marušiak, P.: Oscillatory properties of solutions of second order nonlinear neutral differential inequalities with oscillating coefficients. (English). Archivum Mathematicum, vol. 31 (1995), issue 1, pp. 29-36
• Grace, S. R.; Lalli, B. S.: Oscillation criteria for forced neutral differential equations. (English). Czechoslovak Mathematical Journal, vol. 44 (1994), issue 4, pp. 713-724
• Yu, Jian-She: Oscillation of neutral differential equations with oscillating coefficients. (English). Czechoslovak Mathematical Journal, vol. 44 (1994), issue 4, pp. 611-622