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34K20 Stability theory (65 articles)

• Rasvan, Vladimir: Around certain critical cases in stability studies in hydraulic engineering. (English). Archivum Mathematicum, vol. 59 (2023), issue 1, pp. 109-116
• Matsunaga, Hideaki: Delay-dependent stability conditions for fundamental characteristic functions. (English). Archivum Mathematicum, vol. 59 (2023), issue 1, pp. 77-84
• Ivanov, Anatoli; Shelyag, Sergiy: Stable periodic solutions in scalar periodic differential delay equations. (English). Archivum Mathematicum, vol. 59 (2023), issue 1, pp. 69-76
• Mansouri, Bouzid; Ardjouni, Abdelouaheb; Djoudi, Ahcene: Analysis of periodic solutions for nonlinear coupled integro-differential systems with variable delays. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 63 (2022), issue 1, pp. 51-68
• Benhadri, Mimia; Caraballo, Tomás: New sufficient conditions for global asymptotic stability of a kind of nonlinear neutral differential equations. (English). Mathematica Bohemica, vol. 147 (2022), issue 3, pp. 385-405
• Graef, John R.; Beldjerd, Djamila; Remili, Moussadek: On stability, boundedness, and square integrability of solutions of certain third order neutral differential equations. (English). Mathematica Bohemica, vol. 147 (2022), issue 3, pp. 285-299
• Zhao, Yanbin; Hu, Guang-Da: Delay-dependent stability of high-order neutral systems. (English). Kybernetika, vol. 57 (2021), issue 5, pp. 737-749
• Ngoc, Pham Huu Anh; Tran, Thai Bao; Huy, Nguyen Dinh: New criteria for exponential stability of linear neutral differential systems with distributed delays. (English). Kybernetika, vol. 57 (2021), issue 5, pp. 776-784
• Yang, Kun Yi; An, Chun Xia: Stability analysis of the five-dimensional energy demand-supply system. (English). Kybernetika, vol. 57 (2021), issue 5, pp. 750-775
• Fedoryshyna, Kateryna; Rezounenko, Alexander: Viral in-host infection model with two state-dependent delays: stability of continuous solutions. (English). Mathematica Bohemica, vol. 146 (2021), issue 1, pp. 91-114
• Berezansky, Leonid; Braverman, Elena: On stability of linear neutral differential equations with variable delays. (English). Czechoslovak Mathematical Journal, vol. 69 (2019), issue 3, pp. 863-891
• Rezounenko, Alexander V.: Viral infection model with diffusion and state-dependent delay: a case of logistic growth. (English). In: Mikula, Karol (ed.): Proceedings of Equadiff 14. Conference on Differential Equations and Their Applications, Bratislava, July 24-28, 2017. Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing, Bratislava, 2017. pp. 53-60
• Benchohra, Mouffak; Medjadj, Imene: Global existence results for second order neutral functional differential equation with state-dependent delay. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 57 (2016), issue 2, pp. 169-183
• Fatmi, Larbi; Remili, Moussadek: Stability and Boundedness of Solutions of Some Third-order Nonlinear Vector Delay Differential Equation. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 55 (2016), issue 2, pp. 71-86
• MESMOULI, Mouataz Billah; Ardjouni, Abdelouaheb; Djoudi, Ahcene: Study of Stability in Nonlinear Neutral Differential Equations with Variable Delay Using Krasnoselskii–Burton’s Fixed Point. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 55 (2016), issue 2, pp. 129-142
• Omeike, Mathew O.: Boundedness of Third-order Delay Differential Equations in which $h$ is not necessarily Differentiable. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 54 (2015), issue 2, pp. 63-69
• Wu, Quanjun; Zhang, Hua: Drive network to a desired orbit by pinning control. (English). Kybernetika, vol. 51 (2015), issue 1, pp. 150-172
• MESMOULI, Mouataz Billah; Ardjouni, Abdelouaheb; Djoudi, Ahcene: Existence and Stability of Periodic Solutions for Nonlinear Neutral Differential Equations with Variable Delay Using Fixed Point Technique. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 54 (2015), issue 1, pp. 95-108
• Soulahia, Imene; Ardjouni, Abdelouaheb; Djoudi, Ahcene: Existence of nonnegative periodic solutions in neutral integro-differential equations with functional delay. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 56 (2015), issue 1, pp. 23-44
• Nakata, Yukihiko; Röst, Gergely: Global dynamics of a delay differential system of a two-patch SIS-model with transport-related infections. (English). Mathematica Bohemica, vol. 140 (2015), issue 2, pp. 171-193
• Agarwal, Ravi P.; Domoshnitsky, Alexander; Maghakyan, Abraham: On exponential stability of second order delay differential equations. (English). Czechoslovak Mathematical Journal, vol. 65 (2015), issue 4, pp. 1047-1068
• Omeike, M. O.: Stability and Boundedness of Solutions of a Certain System of Third-order Nonlinear Delay Differential Equations. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 54 (2015), issue 1, pp. 109-119
• Xu, Changjin; Li, Peiluan: Dynamics in a discrete predator-prey system with infected prey. (English). Mathematica Bohemica, vol. 139 (2014), issue 3, pp. 511-534
• Ardjouni, Abdelouaheb; Djoudi, Ahcène: Existence of periodic solutions for first-order totally nonlinear neutral differential equations with variable delay. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 55 (2014), issue 2, pp. 215-225
• 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
• Liu, Juan; Li, Xiaodi: Impulsive stabilization of high-order nonlinear retarded differential equations. (English). Applications of Mathematics, vol. 58 (2013), issue 3, pp. 347-367
• Chen, Huabin; Hu, Peng: Stability analysis for neutral stochastic systems with mixed delays. (English). Kybernetika, vol. 49 (2013), issue 5, pp. 780-791
• Afuwape, Anthony Uyi; Omeike, M. O.: Ultimate boundedness of some third order ordinary differential equations. (English). Mathematica Bohemica, vol. 137 (2012), issue 3, pp. 355-364
• 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
• Berezansky, Leonid; Braverman, Elena: Preservation of exponential stability for equations with several delays. (English). Mathematica Bohemica, vol. 136 (2011), issue 2, pp. 135-144
• Răsvan, Vladimir: Stability and sliding modes for a class of nonlinear time delay systems. (English). Mathematica Bohemica, vol. 136 (2011), issue 2, pp. 155-164
• Mukhopadhyay, Banibrata; Bhattacharyya, Rakhi: Modeling the role of constant and time varying recycling delay on an ecological food chain. (English). Applications of Mathematics, vol. 55 (2010), issue 3, pp. 221-240
• 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
• Rodríguez, Salvador A.; Dugard, Luc; Dion, Jean-Michel; León, Jesús de: On delay-dependent robust stability under model transformation of some neutral systems. (English). Kybernetika, vol. 45 (2009), issue 5, pp. 825-840
• Hu, Jiangping: On robust consensus of multi-agent systems with communication delays. (English). Kybernetika, vol. 45 (2009), issue 5, pp. 768-784
• Mukhopadhyay, Banibrata; Bhattacharyya, Rakhi: A mathematical model describing the thyroid-pituitary axis with time delays in hormone transportation. (English). Applications of Mathematics, vol. 51 (2006), issue 6, pp. 549-564
• 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
• Mihalíková, Božena: Asymptotic behaviour of solutions of two-dimensional neutral differential systems. (English). Czechoslovak Mathematical Journal, vol. 53 (2003), issue 3, pp. 735-741
• Khan, Q. J. A.; Krishnan, E. V.: An epidemic model with a time delay in transmission. (English). Applications of Mathematics, vol. 48 (2003), issue 3, pp. 193-203
• Mazouzi, S.; Tatar, N.-E.: An improved exponential decay result for some semilinear integrodifferential equations. (English). Archivum Mathematicum, vol. 39 (2003), issue 3, pp. 163-171
• Naulin, Raúl: On the instability of linear nonautonomous delay systems. (English). Czechoslovak Mathematical Journal, vol. 53 (2003), issue 3, pp. 497-514
• 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
• 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
• Džurina, Jozef: On unstable neutral differential equations of the second order. (English). Czechoslovak Mathematical Journal, vol. 52 (2002), issue 4, pp. 739-747
• 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
• Louisell, James: Delay differential systems with time-varying delay: new directions for stability theory. (English). Kybernetika, vol. 37 (2001), issue 3, pp. [239]-251
• 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
• Verriest, Erik I.: New qualitative methods for stability of delay systems. (English). Kybernetika, vol. 37 (2001), issue 3, pp. [229]-238
• Niculescu, Silviu-Iulian: On robust stability of neutral systems. (English). Kybernetika, vol. 37 (2001), issue 3, pp. [253]-263
• Kirane, M.; Tatar, N.-E.: Global existence and stability of some semilinear problems. (English). Archivum Mathematicum, vol. 36 (2000), issue 1, pp. 33-44
• Bajnov, Drumi D.; Stamova, Ivanka M.: Global stability of sets for impulsive differential-difference equations by Lyapunov's direct method. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 7 (1999), issue 1, pp. 7-22
• Khusainov, Denis: An application of the second Lyapunov method to stability investigation of differential equations with deviations. (English). Archivum Mathematicum, vol. 34 (1998), issue 1, pp. 127-142
• Anashkin, Oleg: Stability theorems for nonlinear functional differential equations. (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. 1-15
• Petzeltová, Hana: Local center manifold for parabolic equations with infinite delay. (English). Mathematica Bohemica, vol. 119 (1994), issue 3, pp. 285-304
• Papaschinopoulos, Garyfalos; Schinas, John: Some results concerning second and third order neutral delay differential equations with piecewise constant argument. (English). Czechoslovak Mathematical Journal, vol. 44 (1994), issue 3, pp. 501-512
• Lee, Soo R.; Jamshidi, M.: Stability analysis for large scale time delay systems via the matrix Lyapunov function. (English). Kybernetika, vol. 28 (1992), issue 4, pp. 271-283
• Kossaczká, Lubica: Integral manifold of the parabolic differential equation with deviating argument. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 30 (1989), issue 2, pp. 253-260
• Šedová, Ľubica: Parabolic equations with deviating argument. (English). Mathematica Slovaca, vol. 39 (1989), issue 3, pp. 297-311
• Milota, Jaroslav: Stability and saddle-point property for a linear autonomous functional parabolic equation. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 27 (1986), issue 1, pp. 87-101
• 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
• Konstantinov, Michail M.: Об оценке и устойчивости решений дифференциальных уравнений с запаздыванием в Банаховом пространстве. (Russian) [Estimation and stability of the solutions of differential equations with lag on a Banach space]. Archivum Mathematicum, vol. 13 (1977), issue 4, pp. 187-190
• Ahmerov, R. R.; Kamenskij, Mikhail I.: Об одном подходе к исследованию устойчивости периодических решений в принципе усреднения для функционально-дифференциальных уравнений нейтрального типа. (Russian) [A certain approach to the study of the stability of periodic solutions in the averaging principle for functional-differential equations of neutral type]. Commentationes Mathematicae Universitatis Carolinae, vol. 16 (1975), issue 2, pp. 293-313
• Corduneanu, C.: Some differential equations with delay. (English). In: Ráb, Miloš and Vosmanský, Jaromír (eds.): Proceedings of Equadiff III. 3rd Czechoslovak Conference on Differential Equations and Their Applications. Brno, Czechoslovakia, August 28 - September 1, 1972. Univ. J. E. Purkyně - Přírodovědecká fakulta, Brno, 1973. pp. 105-114
• 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