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34D20 Lyapunov stability (74 articles)

• Šremr, Jiří: On Lyapunov stability/instability of equilibria of free damped pendulum with periodically oscillating suspension point. (English). Applications of Mathematics, vol. 70 (2025), issue 1, pp. 11-45
• Šremr, Jiří: Floquetova teorie a stabilita lineárních diferenciálních rovnic druhého řádu s periodickými koeficienty. (Czech) [Floquet Theory and Stability of Second Order Linear Differential Equations With Periodic Coefficients]. Pokroky matematiky, fyziky a astronomie, vol. 68 (2023), issue 4, pp. 246-274
• Rasvan, Vladimir: Around certain critical cases in stability studies in hydraulic engineering. (English). Archivum Mathematicum, vol. 59 (2023), issue 1, pp. 109-116
• Ezzine, Faten; Hammami, Mohamed Ali: Growth conditions for the stability of a class of time-varying perturbed singular systems. (English). Kybernetika, vol. 58 (2022), issue 1, pp. 1-24
• Sarkar, Ikbal Hossein; Bhattacharyya, Joydeb; Pal, Samares: Herbivore harvesting and alternative steady states in coral reefs. (English). Applications of Mathematics, vol. 66 (2021), issue 2, pp. 233-268
• Lei, Ronghua; Chen, Li: Observer-based adaptive sliding mode fault-tolerant control for the underactuated space robot with joint actuator gain faults. (English). Kybernetika, vol. 57 (2021), issue 1, pp. 160-173
• Ben Rzig, Ines; Kharrat, Thouraya: Stability of perturbed delay homogeneous systems depending on a parameter. (English). Kybernetika, vol. 57 (2021), issue 1, pp. 141-159
• Hayashi, Makoto: An improvement of the non-existence region for limit cycles of the Bogdanov-Takens system. (English). Archivum Mathematicum, vol. 56 (2020), issue 4, pp. 199-206
• Du, Bo: New results on stability of periodic solution for CNNs with proportional delays and $D$ operator. (English). Kybernetika, vol. 55 (2019), issue 5, pp. 852-869
• Ghanmi, Boulbaba; Dlala, Mohsen; Hammami, Mohamed Ali: Converse theorem for practical stability of nonlinear impulsive systems and applications. (English). Kybernetika, vol. 54 (2018), issue 3, pp. 496-521
• Kovtunenko, Victor A.; Krejčí, Pavel; Bauer, Erich; Siváková, Lenka; Zubkova, Anna V.: On Lyapunov stability in hypoplasticity. (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. 107-116
• Wang, Zhen; Sun, Wei; Wei, Zhouchao; Zhang, Shanwen: Periodic parametric perturbation control for a 3D autonomous chaotic system and its dynamics at infinity. (English). Kybernetika, vol. 53 (2017), issue 2, pp. 354-369
• Remili, Moussadek; Oudjedi, Lynda D.: Boundedness and stability in third order nonlinear differential equations with multiple deviating arguments. (English). Archivum Mathematicum, vol. 52 (2016), issue 2, pp. 79-90
• Wang, Lin Jun; Xie, You Xiang; Wei, Zhou Chao; Peng, Jian: Stability analysis and absolute synchronization of a three-unit delayed neural network. (English). Kybernetika, vol. 51 (2015), issue 5, pp. 800-813
• Agarwal, Ravi; O'Regan, Donal; Hristova, Snezhana: Stability of Caputo fractional differential equations by Lyapunov functions. (English). Applications of Mathematics, vol. 60 (2015), issue 6, pp. 653-676
• ADEMOLA, A. T.; OGUNDIRAN, M. O.; ARAWOMO, P. O.: Stability, Boundedness and Existenceof Periodic Solutions to Certain Third Order Nonlinear Differential Equations. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 54 (2015), issue 1, pp. 5-18
• Li, Ying; Shao, Yuanfu: Dynamic analysis of an impulsive differential equation with time-varying delays. (English). Applications of Mathematics, vol. 59 (2014), issue 1, pp. 85-98
• Väth, Martin: Instability of Turing type for a reaction-diffusion system with unilateral obstacles modeled by variational inequalities. (English). Mathematica Bohemica, vol. 139 (2014), issue 2, pp. 195-211
• Saberi Nik, Hassan; He, Ping; Talebian, Sayyed Taha: Optimal, adaptive and single state feedback control for a 3D chaotic system with golden proportion equilibria. (English). Kybernetika, vol. 50 (2014), issue 4, pp. 596-615
• Omeike, M. O.: Stability and boundedness of solutions of nonlinear vector differential equations of third order. (English). Archivum Mathematicum, vol. 50 (2014), issue 2, pp. 101-106
• Remili, Moussadek; Oudjedi, Lynda Damerdji: Stability and Boundednessof the Solutions of Non Autonomous Third Order Differential Equations with Delay. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 53 (2014), issue 2, pp. 139-147
• Hu, Guang-Da; Mitsui, Taketomo: Bounds of the matrix eigenvalues and its exponential by Lyapunov equation. (English). Kybernetika, vol. 48 (2012), issue 5, pp. 865-878
• 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
• Rozgonyi, Szabolcs; Hangos, Katalin M.; Szederkényi, Gábor: Determining the domain of attraction of hybrid non–linear systems using maximal Lyapunov functions. (English). Kybernetika, vol. 46 (2010), issue 1, pp. 19-37
• Burton, T. A.; Dwiggins, D. P.: Resolvents, integral equations, limit sets. (English). Mathematica Bohemica, vol. 135 (2010), issue 4, pp. 337-354
• Chen, Fei; Chen, Zengqiang; Liu, Zhongxin; Yuan, Zhuzhi: Control a state-dependent dynamic graph to a pre-specified structure. (English). Kybernetika, vol. 45 (2009), issue 5, pp. 801-808
• Zhong, Wei-Song; Stefanovski, Jovan D.; Dimirovski, Georgi M.; Zhao, Jun: Decentralized control and synchronization of time-varying complex dynamical network. (English). Kybernetika, vol. 45 (2009), issue 1, pp. 151-167
• Morchało, Jarosław: Stability problems for linear differential and difference systems. (English). Archivum Mathematicum, vol. 45 (2009), issue 3, pp. 189-202
• Wu, Junsheng; Weng, Zhengxin; Tian, Zuohua; Shi, Songjiao: Fault tolerant control for uncertain time-delay systems based on sliding mode control. (English). Kybernetika, vol. 44 (2008), issue 5, pp. 617-632
• Omeike, M. O.: Ultimate boundedness results for a certain third order nonlinear matrix differential equations. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 46 (2007), issue 1, pp. 65-73
• Preda, Petre; Pogan, Alin; Preda, Ciprian: Functionals on function and sequence spaces connected with the exponential stability of evolutionary processes. (English). Czechoslovak Mathematical Journal, vol. 56 (2006), issue 2, pp. 425-435
• Cheban, David; Mammana, Christiana: Invariant manifolds and almost automorphic solutions of second-order monotone 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. 141-147
• Sadek, A. I.: On the stability of the solutions of certain fifth order non-autonomous differential equations. (English). Archivum Mathematicum, vol. 41 (2005), issue 1, pp. 93-106
• Tunç, Cemil: Some stability and boundedness results for the solutions of certain fourth order differential equations. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 44 (2005), issue 1, pp. 161-171
• Afuwape, A. U.; Omeike, M. O.: Further ultimate boundedness of solutions of some system of third order nonlinear ordinary differential equations. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 43 (2004), issue 1, pp. 7-20
• Megan, Mihail; Sasu, Luminita; Sasu, Bogdan: Banach function spaces and exponential instability of evolution families. (English). Archivum Mathematicum, vol. 39 (2003), issue 4, pp. 277-286
• Naulin, Raúl: On the instability of linear nonautonomous delay systems. (English). Czechoslovak Mathematical Journal, vol. 53 (2003), issue 3, pp. 497-514
• Adesina, Olufemi Adeyinka: Periodicity and stability results for solutions of some fifth order nonlinear differential equations. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 40 (2001), issue 1, pp. 7-16
• Kalas, Josef: The use of Lyapunov functions in uniqueness and nonuniqueness theorems. (English). Archivum Mathematicum, vol. 36 (2000), issue 5, pp. 469-476
• 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
• Răsvan, Vladimir: Dynamical systems with several equilibria and natural Liapunov functions. (English). Archivum Mathematicum, vol. 34 (1998), issue 1, pp. 207-215
• Hatvani, László; Stachó, László: On small solutions of second order differential equations with random coefficients. (English). Archivum Mathematicum, vol. 34 (1998), issue 1, pp. 119-126
• Rastović, Danilo: A note on stability properties of integrated semigroups. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 3 (1995), issue 1, pp. 61-(65)
• Vaněček, Antonín; Čelikovský, Sergej: Wrapped eigenstructure of chaos. (English). Kybernetika, vol. 29 (1993), issue 1, pp. 73-79
• Kahane, Charles S.: On the stability of solutions of linear differential systems with slowly varying coefficients. (English). Czechoslovak Mathematical Journal, vol. 42 (1992), issue 4, pp. 715-726
• Andres, Jan; Vlček, Vladimír: Periodic solutions of the third order parametric differential equations involving large nonlinearities. (English). Mathematica Slovaca, vol. 41 (1991), issue 4, pp. 337-349
• Nadzieja, Tadek: Construction of a smooth Lyapunov function for an asymptotically stable set. (English). Czechoslovak Mathematical Journal, vol. 40 (1990), issue 2, pp. 195-199
• Kalas, Josef: Asymptotic behaviour of the equation $\dot z=G(t,z)[h(z)+g(t,z)]$. (English). Archivum Mathematicum, vol. 25 (1989), issue 3, pp. 195-206
• Ráb, M.; Kalas, J.: Stability and asymptotic properties of dynamical systems in the plane. (English). In: Kurzweil, Jaroslav (ed.): Equadiff 7. Proceedings of the 7th Czechoslovak Conference on Differential Equations and Their Applications held in Prague, 1989. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1990. pp. 103-105
• Haluška, Vladimír: Stability of a model for the Belousov-Zhabotinskij reaction. (English). Aplikace matematiky, vol. 34 (1989), issue 2, pp. 89-104
• Krasnoselsky, M. A.; Pokrovsky, A. V.; Semenov, M. E.: Stable periodic oscillations in systems with monotonous hysteresis nonlinearity. (English). In: Kurzweil, Jaroslav (ed.): Equadiff 7. Proceedings of the 7th Czechoslovak Conference on Differential Equations and Their Applications held in Prague, 1989. BSB B.G. Teubner Verlagsgesellschaft, Leipzig, 1990. pp. 92-95
• Tumajer, František: Stability and boundedness of controllable continuous flows. (English). Aplikace matematiky, vol. 33 (1988), issue 6, pp. 493-504
• Andres, Ján: On stability and instability of the roots of the oscillatory function in a certain nonlinear differential equation of the third order. (English). Časopis pro pěstování matematiky, vol. 111 (1986), issue 3, pp. 225-229
• Ježek, Jan: A solution of the continuous Lyapunov equation by means of power series. (English). Kybernetika, vol. 22 (1986), issue 3, pp. 209-217
• Hino, Yoshiyuki; Yoshizawa, Taro: Total stability property in limiting equations for a functional-differential equation with infinite delay. (English). Časopis pro pěstování matematiky, vol. 111 (1986), issue 1, pp. 62-69
• Kalas, Josef: Some results on the asymptotic behaviour of the equation $\dot z=f(t,z)$ with a complex-valued function $f$. (English). Archivum Mathematicum, vol. 21 (1985), issue 4, pp. 195-199
• Barták, Jaroslav: Stability of abstract differential equations at constantly acting disturbances. (English). Časopis pro pěstování matematiky, vol. 110 (1985), issue 2, pp. 145-157
• Schwabik, Štefan: Variational stability for generalized ordinary differential equations. (English). Časopis pro pěstování matematiky, vol. 109 (1984), issue 4, pp. 389-420
• Kalas, Josef: On a “Liapunov like” function for an equation $\dot z=f(t,z)$ with a complex-valued function $f$. (English). Archivum Mathematicum, vol. 18 (1982), issue 2, pp. 65-76
• Kalas, Josef: Asymptotic properties of the solutions of the equation $\dot z=f(t,z)$ with a complex-valued function $f$. (English). Archivum Mathematicum, vol. 17 (1981), issue 3, pp. 113-123
• 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
• Barták, Jaroslav: Stability at constantly acting disturbances of abstract differential equations with the right-hand sides smooth in the time variable. (English). Czechoslovak Mathematical Journal, vol. 31 (1981), issue 3, pp. 404-412
• Kurzweil, Jaroslav: 15. Exponenciální stabilita. Hyperbolický bod, nestabilní a stabilní varieta. (Czech) [15. Exponential stability. Hyperbolic point, unstable and stable manifold]. In: Kurzweil, Jaroslav: Obyčejné diferenciální rovnice. (Czech). Praha: SNTL - Nakladatelství technické literatury, 1978. pp. 265-275
• Šeda, Valter: On the existence of oscillatory solutions in the Weisbuch-Salomon-Atlan model for the Belousov-Zhabotinskij reaction. (English). Aplikace matematiky, vol. 23 (1978), issue 4, pp. 280-294
• Bihari, I.: Asymptotic invariant sets of autonomous differential equations. (English). In: Fábera, Jiří (ed.): Equadiff IV. Czechoslovak Conference on Differential Equations and Their Applications. Proceedings, Prague, August 22-26, 1977. Springer-Verlag, Berlin, 1979. pp. [31]-34
• Mayer, Daniel; Ryjáček, Zdeněk: On weak non-linearity of models of physical systems. (English). Aplikace matematiky, vol. 22 (1977), issue 4, pp. 301-310
• 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
• Krbec, Pavel: Discontinuous Liapunov functions for differential equations with measurable right-hand sides. (English). Czechoslovak Mathematical Journal, vol. 26 (1976), issue 2, pp. 312-318
• Barták, Jaroslav: Lyapunov stability and stability at constantly acting disturbances of an abstract differential equation of the second order. (English). Czechoslovak Mathematical Journal, vol. 26 (1976), issue 3, pp. 411-437
• Krbec, Pavel: Weak stability of multivalued differential equations. (English). Czechoslovak Mathematical Journal, vol. 26 (1976), issue 3, pp. 470-476
• 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
• Voráček, Jan: Über $D'$-divergente Lösungen der Differentialgleichung $x^{(n)}=f(x,x',\ldots,x^{(n-1)};t)$. (German) [On the $D'$-divergent solution of the differential equation $x^{(n)} = f(x,x',\dots,x^{(n-1)}; t)$]. Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika, vol. 13 (1973), issue 1, pp. 83-89
• Donevski, B. D.; Bajnov, Drumi Dimitrov: Исследование $n$-контурных $LC$—автогенераторов с нелинейным задающим контуром. (Russian) [A study of $n$-circuit $LC$-self-oscillators with nonlinear driving circuit]. Archivum Mathematicum, vol. 8 (1972), issue 4, pp. 179-185
• Prouza, Ludvík: Zur Stabilität der linearen Impulsfilter. (German) [On stability of linear impuls filters]. Kybernetika, vol. 3 (1967), issue 6, pp. (587)-599