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34K25 Asymptotic theory (92 articles)

• Matsunaga, Hideaki: Delay-dependent stability conditions for fundamental characteristic functions. (English). Archivum Mathematicum, vol. 59 (2023), issue 1, pp. 77-84
• Vážanová, Gabriela: Solutions of an advance-delay differential equation and their asymptotic behaviour. (English). Archivum Mathematicum, vol. 59 (2023), issue 1, pp. 141-149
• 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
• Cheng, Ye; Shi, Bao; Ding, Liangliang: Consensus of a two-agent system with nonlinear dynamics and time-varying delay. (English). Applications of Mathematics, vol. 66 (2021), issue 3, pp. 397-411
• Lakrib, Mustapha; Kherraz, Tahar; Bourada, Amel: Averaging for ordinary differential equations perturbed by a small parameter. (English). Mathematica Bohemica, vol. 141 (2016), issue 2, pp. 143-151
• Liu, Zhen Hai; Liu, Qun: Persistence and extinction of a stochastic delay predator-prey model under regime switching. (English). Applications of Mathematics, vol. 59 (2014), issue 3, pp. 331-343
• Xu, Changjin; Zhang, Qianhong; Liao, Maoxin: Existence and global attractivity of positive periodic solutions for a delayed competitive system with the effect of toxic substances and impulses. (English). Applications of Mathematics, vol. 58 (2013), issue 3, pp. 309-328
• Svoboda, Zdeněk: Asymptotic properties of one differential equation with unbounded delay. (English). Mathematica Bohemica, vol. 137 (2012), issue 2, pp. 239-248
• Kalas, Josef; Rebenda, Josef: Asymptotic behaviour of a two-dimensional differential system with a nonconstant delay under the conditions of instability. (English). Mathematica Bohemica, vol. 136 (2011), issue 2, pp. 215-224
• 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
• Rebenda, Josef: Asymptotic behaviour of solutions of real two-dimensional differential system with nonconstant delay. (English). Archivum Mathematicum, vol. 45 (2009), issue 3, pp. 223-236
• Džurina, Jozef; Kotorová, Renáta: Asymptotic properties of trinomial delay differential equations. (English). Archivum Mathematicum, vol. 44 (2008), issue 2, pp. 149-158
• Mustafa, Octavian G.: On the oscillatory integration of some ordinary differential equations. (English). Archivum Mathematicum, vol. 44 (2008), issue 1, pp. 23-36
• Yazaki, Shigetoshi: Asymptotic behavior of solutions to an area-preserving motion by crystalline curvature. (English). Kybernetika, vol. 43 (2007), issue 6, pp. 903-912
• 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
• Kalas, Josef: Asymptotic properties of an unstable two-dimensional differential system with delay. (English). Mathematica Bohemica, vol. 131 (2006), issue 3, pp. 305-319
• Kundrát, Petr: The asymptotic properties of solutions of linear delay differential equations. (English). Mathematica Slovaca, vol. 56 (2006), issue 3, pp. 349-360
• Liu, Yuji; Ge, Weigao: Asymptotic behavior of solutions of generalized ``food-limited'' type functional differential equations. (English). Mathematica Slovaca, vol. 55 (2005), issue 2, pp. 203-216
• Svoboda, Zdeněk: Positive solutions of $p$-type retarded functional linear 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. 475-484
• 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
• 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
• 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
• Pituk, Mihály: Convergence to equilibria in a differential equation with small delay. (English). Mathematica Bohemica, vol. 127 (2002), issue 2, pp. 293-299
• Benchohra, M.; Henderson, J.; Ntouyas, S. K.: On nonresonance impulsive functional nonconvex valued differential inclusions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 4, pp. 595-604
• 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
• Diblík, Josef; Khusainov, Denys: Asymptotic estimation of the convergence of solutions of the equation $\dot x(t)=b(t) x(t-\tau (t))$. (English). Archivum Mathematicum, vol. 37 (2001), issue 4, pp. 279-287
• Pituk, Mihály: Convergence to equilibria in a differential equation with small delay. (English). In: Krbec, M. and Kuben, J. (eds.): Proceedings of Equadiff 10, Czechoslovak International Conference on Differential Equations and Their Applications, Prague, August 27-31, 2001. [Part 1] Invited Lectures. Masaryk University, Brno, 2002. pp. 153-158
• Diblík, Josef; Svoboda, Zdeněk: An existence criterion of positive solutions of $p$-type retarded functional 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. 139-141
• Diblík, Josef; Khusainov, Denis Ja.; Mamedova, Violeta G.: Inequalities for solutions of systems with “pure” delay. (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. 133-134
• Diblík, Josef: Positive and oscillating solutions of equation $\dot x(t)=-c(t) x(t-\tau)$. (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. 129-131
• Čermák, Jan: Asymptotic behaviour of solutions of some linear delay differential equations. (English). Mathematica Bohemica, vol. 125 (2000), issue 3, pp. 355-364
• Čermák, Jan: Asymptotic properties of differential equations with advanced argument. (English). Czechoslovak Mathematical Journal, vol. 50 (2000), issue 4, pp. 825-837
• 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
• Baštinec, Jaromír; Diblík, Josef; Šmarda, Zdeněk: Convergence tests for one scalar differential equation with vanishing delay. (English). Archivum Mathematicum, vol. 36 (2000), issue 5, pp. 405-414
• 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
• Čermák, Jan: Linear differential equations with several unbounded delays. (English). Archivum Mathematicum, vol. 36 (2000), issue 5, pp. 421-427
• Singh, Bhagat: On nonoscillation of canonical or noncanonical disconjugate functional equations. (English). Czechoslovak Mathematical Journal, vol. 50 (2000), issue 3, pp. 627-639
• 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
• Čermák, Jan: Asymptotic estimation for functional differential equations with several delays. (English). Archivum Mathematicum, vol. 35 (1999), issue 4, pp. 337-345
• Naito, Manabu: An asymptotic theorem for a class of nonlinear neutral differential equations. (English). Czechoslovak Mathematical Journal, vol. 48 (1998), issue 3, pp. 419-432
• Diblík, Josef: Behaviour of solutions of linear differential equations with delay. (English). Archivum Mathematicum, vol. 34 (1998), issue 1, pp. 31-47
• Čermák, Jan: On the asymptotic behaviour of solutions of some functional-differential equations. (English). Mathematica Slovaca, vol. 48 (1998), issue 2, pp. 187-212
• 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
• Marušiak, Pavol: Asymptotic properties of nonoscillatory solutions of neutral delay differential equations of $n$-th order. (English). Czechoslovak Mathematical Journal, vol. 47 (1997), issue 2, pp. 327-336
• Růžičková, Miroslava: Comparison theorems for differential equations of neutral type. (English). Mathematica Bohemica, vol. 122 (1997), issue 2, pp. 181-189
• Ryabov, Y. A.: Approximate properties of principal solutions of Volterra-type integrodifferential equations with infinite aftereffect. (English). Mathematica Bohemica, vol. 120 (1995), issue 3, pp. 265-282
• 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
• 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
• Šoltés, Vincent: Property (A) of the $n$-th order differential equations with deviating argument. (English). Archivum Mathematicum, vol. 31 (1995), issue 1, pp. 59-63
• Džurina, Jozef: Comparison theorems for functional differential equations. (English). Mathematica Bohemica, vol. 119 (1994), issue 2, pp. 203-211
• Růžičková, M.; Špániková, E.: Oscillation theorems for neutral differential equations with the quasi-derivatives. (English). Archivum Mathematicum, vol. 30 (1994), issue 4, pp. 293-300
• Džurina, Jozef: Property (B) of differential equations with deviating argument. (English). Archivum Mathematicum, vol. 30 (1994), issue 3, pp. 207-213
• Staněk, Svatoslav: On a class of functional boundary value problems for second-order functional differential equations with parameter. (English). Czechoslovak Mathematical Journal, vol. 43 (1993), issue 2, pp. 339-348
• Koplatadze, Roman: On asymptotic behaviour of solutions of functional differential equations. (English). In: Brunovský, Pavol and Medveď, Milan (eds.): Equadiff 8. Czech - Slovak Conference on Differential Equations and Their Applications. Bratislava, August 24-28, 1993. Mathematical Institute, Slovak Academy of Sciences, Bratislava, 1994. pp. 143-146
• Pituk, Michal: On the limits of solutions of functional differential equations. (English). Mathematica Bohemica, vol. 118 (1993), issue 1, pp. 53-66
• Šeda, Valter; Belohorec, Štefan: A remark on second order functional-differential systems. (English). Archivum Mathematicum, vol. 29 (1993), issue 2, pp. 169-176
• Ivanov, Anatolij F.; Marušiak, Pavol: Asymptotic properties of solutions of functional differential systems. (English). Mathematica Bohemica, vol. 117 (1992), issue 2, pp. 207-216
• Oláh, Rudolf: On positive solutions of nonlinear retarded differential equations. (English). Mathematica Slovaca, vol. 42 (1992), issue 2, pp. 201-210
• Marušiak, Pavol: On unbounded nonoscillatory solutions of systems of neutral differential equations. (English). Czechoslovak Mathematical Journal, vol. 42 (1992), issue 1, pp. 117-128
• Morchało, Jaroslaw: Asymptotic and integral equivalence of functional and ordinary differential equations. (English). Archivum Mathematicum, vol. 26 (1990), issue 1, pp. 37-47
• Špániková, Eva: Asymptotic properties of solutions of differential systems with deviating arguments. (English). Časopis pro pěstování matematiky, vol. 115 (1990), issue 2, pp. 178-191
• Mihalíková, Božena: Asymptotic properties of solutions of differential systems with deviating argument. (English). Czechoslovak Mathematical Journal, vol. 39 (1989), issue 4, pp. 559-577
• Singh, Bhagat: Necessary and sufficient conditions for finally vanishing oscillatory solutions in second order delay equations. (English). Archivum Mathematicum, vol. 25 (1989), issue 2, pp. 137-148
• Lizana, Marcos: Bounded, almost-periodic and periodic solutions of certain singularly perturbed systems with delay. (English). Archivum Mathematicum, vol. 24 (1988), issue 2, pp. 57-64
• Krejčí, Pavel: On Ishlinskij's model for non-perfectly elastic bodies. (English). Aplikace matematiky, vol. 33 (1988), issue 2, pp. 133-144
• Ráb, Miloš: Asymptotic formulas for solutions of the differential equation with advanced argument $(x'(t)/r(t))'+q(t)f(x(g(t)))=0$. (English). Archivum Mathematicum, vol. 23 (1987), issue 1, pp. 45-51
• Grammatikopoulos, Myron K.; Ladas, G.; Sficas, Yiannis G.: Necessary and sufficient conditions for oscillation of delay equations with constant coefficients. (English). Czechoslovak Mathematical Journal, vol. 37 (1987), issue 2, pp. 262-270
• Futák, Ján: Asymptotic formulas for solutions of functional-differential equations. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 25 (1986), issue 1, pp. 181-192
• Tsamatos, P. Ch.: Some remarks on a terminal value problem. (English). Archivum Mathematicum, vol. 22 (1986), issue 3, pp. 135-138
• Singh, Bhagat: Decaying trajectories in sublinear retarded equations of arbitrary order. (English). Archivum Mathematicum, vol. 21 (1985), issue 4, pp. 219-228
• Šeda, Valter: Surjectivity and boundary value problems. (English). In: Vosmanský, Jaromír and Zlámal, Miloš (eds.): Equadiff 6. Proceedings of the International Conference on Differential Equations and Their Applications held in Brno, Czechoslovakia, Aug. 26 - 30, 1985. J. E. Purkyně University, Department of Mathematics, Brno, 1986. pp. [161]-170
• Bajnov, Drumi Dimitrov; Zahariev, Andreĭ I.: Oscillating and asymptotic properties of a class of functional differential equations with maxima. (English). Czechoslovak Mathematical Journal, vol. 34 (1984), issue 2, pp. 247-251
• Philos, Christos G.: Asymptotic behaviour of a class of nonoscillatory solutions of differential equations with deviating arguments. (English). Mathematica Slovaca, vol. 33 (1983), issue 4, pp. 409-428
• Wyrwińska, Aleksandra: On the functional integrability and asymptotic behaviours of a certain differential equation with delay. (English). Mathematica Slovaca, vol. 33 (1983), issue 1, pp. 45-51
• Norkin, S. B.: О двусторонних решениях линейной системы с асимптотически постоянными коэффициентами и запаздыванием. (Russian) [On two-sided solutions of a linear system with asymptotically constant coefficients and delay]. Czechoslovak Mathematical Journal, vol. 33 (1983), issue 1, pp. 58-69
• Philos, Christos G.: Oscillations of superlinear differential equations with deviating arguments. (English). Archivum Mathematicum, vol. 18 (1982), issue 1, pp. 35-48
• Ohriska, Ján: Asymptotic properties of solutions of a second order nonlinear delay differential equation. (English). Mathematica Slovaca, vol. 31 (1981), issue 1, pp. 83-90
• Šoltés, Vincent: Asymptotic properties of solutions of an $n$-th order nonlinear differential equation with deviating argument. (English). Archivum Mathematicum, vol. 17 (1981), issue 1, pp. 59-63
• Banaś, Józef; Stopka, Urszula: The existence and some properties of solutions of a differential equation with deviated argument. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 22 (1981), issue 3, pp. 525-536
• Smítalová, Kristína: On chaos in difference and differential-difference equations. (English). In: Greguš, Michal (ed.): Equadiff 5. Proceedings of the Fifth Czechoslovak Conference on Differential Equations and Their Applications held in Bratislava, August 24-28, 1981. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1982. pp. 310-313
• Futák, Ján: On the asymptotic behaviour of the solutions of nonlinear delay differential system. (English). Mathematica Slovaca, vol. 31 (1981), issue 3, pp. 233-242
• Cheng, Sui-Sun: On a class of fourth order half-linear differential equations. (English). Czechoslovak Mathematical Journal, vol. 30 (1980), issue 1, pp. 84-97
• Werbowski, Jaroslav: Note on the asymptotic behavior of the solutions of differential equations with deviating arguments. (English). Mathematica Slovaca, vol. 28 (1978), issue 2, pp. 181-188
• Marušiak, Pavol: Дифференциальное чравнение с западывающим аргументом асимптотически эквивалентное с уравнением $y^{(n)}$ = 0. (Russian) [The Differential Equation with Retarded Argument Asymptotically Equivalent to the Equation $y^{(n)}$ = 0]. Matematický časopis, vol. 23 (1973), issue 1, pp. 45-54
• Marušiak, Pavol: Asymptotické vlastnosti riešení diferenciálnej rovnice $y''' (t)+2A(t)y'(t)+B(t)y(t)-C(t)y(t-h(t))=0$. (Slovak) [Asymptotic Properties of Solutions of the Differential Equation $y''' (t)+2A(t)y'(t)+B(t)y(t)-C(t)y(t-h(t))=0$]. Matematický časopis, vol. 21 (1971), issue 4, pp. 277-284
• Kurzweil, Jaroslav: On solutions of nonautonomous linear delayed differential equations which are defined and bounded for $t \to - \infty$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 12 (1971), issue 1, pp. 69-72