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34C15 Nonlinear oscillations, coupled oscillators (84 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
• Kamachkin, Alexander M.; Potapov, Dmitriy K.; Yevstafyeva, Victoria V.: Two-point oscillatory solutions to system with relay hysteresis and nonperiodic external disturbance. (English). Applications of Mathematics, vol. 69 (2024), issue 3, pp. 395-414
• Fujimoto, Kōdai: A note on the oscillation problems for differential equations with $p(t)$-Laplacian. (English). Archivum Mathematicum, vol. 59 (2023), issue 1, pp. 39-45
• Rath, R.N.; Panda, K.C.; Rath, S.K.: Oscillatory behavior of higher order neutral differential equation with multiple functional delays under derivative operator. (English). Archivum Mathematicum, vol. 58 (2022), issue 2, pp. 65-84
• Bak, Sergiy: Periodic traveling waves in the system of linearly coupled nonlinear oscillators on 2D-lattice. (English). Archivum Mathematicum, vol. 58 (2022), issue 1, pp. 1-13
• Zheng, Song: Exponential stability via aperiodically intermittent control of complex-variable time delayed chaotic systems. (English). Kybernetika, vol. 56 (2020), issue 4, pp. 753-766
• Enaka, Yukihide; Onitsuka, Masakazu: Integral averaging technique for oscillation of damped half-linear oscillators. (English). Czechoslovak Mathematical Journal, vol. 68 (2018), issue 3, pp. 755-770
• Zheng, Song: Stability analysis of uncertain complex-variable delayed nonlinear systems via intermittent control with multiple switched periods. (English). Kybernetika, vol. 54 (2018), issue 5, pp. 937-957
• 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
• Zheng, Song: Impulsive stabilization and synchronization of uncertain financial hyperchaotic systems. (English). Kybernetika, vol. 52 (2016), issue 2, pp. 241-257
• Martins, Rogério; Morais, Gonçalo: Generalized synchronization in a system of several non-autonomous oscillators coupled by a medium. (English). Kybernetika, vol. 51 (2015), issue 2, pp. 347-373
• Astashova, Irina: On asymptotic behavior of solutions to Emden-Fowler type higher-order differential equations. (English). Mathematica Bohemica, vol. 140 (2015), issue 4, pp. 479-488
• Bartušek, Miroslav; Došlá, Zuzana: Oscillation of third order differential equation with damping term. (English). Czechoslovak Mathematical Journal, vol. 65 (2015), issue 2, pp. 301-316
• Hu, Jianbing; Wei, Hua; Zhao, Lingdong: Synchronization of fractional-order chaotic systems with multiple delays by a new approach. (English). Kybernetika, vol. 51 (2015), issue 6, pp. 1068-1083
• Vejchodský, Tomáš: Accurate reduction of a model of circadian rhythms by delayed quasi-steady state assumptions. (English). Mathematica Bohemica, vol. 139 (2014), issue 4, pp. 577-585
• Bartušek, Miroslav; Kokologiannaki, Chrysi G.: Monotonicity properties of oscillatory solutions of differential equation $(a(t)\vert y^{\prime }\vert ^{p-1}y^{\prime })^{\prime }+f(t,y,y^{\prime })=0$. (English). Archivum Mathematicum, vol. 49 (2013), issue 3, pp. 199-207
• Pražák, Dalibor; Rajagopal, Kumbakonam R.: Mechanical oscillators described by a system of differential-algebraic equations. (English). Applications of Mathematics, vol. 57 (2012), issue 2, pp. 129-142
• Rohleder, Martin: On the Existence of Oscillatory Solutions of the Second Order Nonlinear ODE. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 51 (2012), issue 2, pp. 107-127
• Ukpera, Awar Simon; Adesina, Olufemi Adeyinka: Results on Non-resonant Oscillations for some Nonlinear Vector Fourth Order Differential Systems. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 51 (2012), issue 2, pp. 129-140
• Astashova, Irina: On the asymptotic behavior at infinity of solutions to quasi-linear differential equations. (English). Mathematica Bohemica, vol. 135 (2010), issue 4, pp. 373-382
• Dix, Julio G.; Ghose, Dillip Kumar; Rath, Radhanath: Oscillation of a higher order neutral differential equation with a sub-linear delay term and positive and negative coefficients. (English). Mathematica Bohemica, vol. 134 (2009), issue 4, pp. 411-425
• Hong, Shaohua; Shi, Zhiguo; Chen, Kangsheng: EKF-based dual synchronization of chaotic colpitts circuit and Chua’s circuit. (English). Kybernetika, vol. 44 (2008), issue 4, pp. 482-491
• Wang, Jiangen; Cai, Jianping; Ma, Mihua; Feng, Jiuchao: Synchronization with error bound of non-identical forced oscillators. (English). Kybernetika, vol. 44 (2008), issue 4, pp. 534-545
• Andres, Jan; Bersani, Alberto Maria; Radová, Lenka: Almost-periodic solutions in various metrics of higher-order differential equations with a nonlinear restoring term. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 45 (2006), issue 1, pp. 7-29
• Došlý, Ondřej; Pátíková, Zuzana: Hille-Wintner type comparison kriteria for half-linear second order differential equations. (English). Archivum Mathematicum, vol. 42 (2006), issue 2, pp. 185-194
• Baculíková, Blanka: Oscillation criteria for second order nonlinear differential equations. (English). Archivum Mathematicum, vol. 42 (2006), issue 2, pp. 141-149
• Manojlović, Jelena V.: Integral averages and oscillation of second order sublinear differential equations. (English). Czechoslovak Mathematical Journal, vol. 55 (2005), issue 1, pp. 41-60
• Bartušek, Miroslav: Singular solutions for the differential equation with $p$-Laplacian. (English). Archivum Mathematicum, vol. 41 (2005), issue 1, pp. 123-128
• Lee, Chung-Fen; Yeh, Cheh-Chih; Gau, Chuen-Yu: Some oscillation theorems for second order differential equations. (English). Czechoslovak Mathematical Journal, vol. 55 (2005), issue 4, pp. 845-861
• Ukpera, Awar Simon: Further results for some third order differential systems with nonlinear dissipation. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 43 (2004), issue 1, pp. 155-169
• 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
• Morávek, Z.; Fiala, J.: The period of oscillations in non-linear systems. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 45 (2004), issue 1, pp. 9-16
• 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
• Diblík, Josef; Růžičková, Miroslava: Solutions of a singular Cauchy problem for a nonlinear system of 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. 135-137
• Kováčová, Monika: Property $A$ of the $(n+1)^{th}$ order differential equation $\left [\frac 1{r_1(t)}\left (x^{(n)}(t)+p(t)x(t)\right )\right ]' = f(t,x(t),\cdots ,x^{(n)}(t))$. (English). Archivum Mathematicum, vol. 36 (2000), issue 5, pp. 487-498
• Bartušek, Miroslav; Došlá, Zuzana; Graef, John R.: The nonlinear limit-point/limit-circle problem for higher order equations. (English). Archivum Mathematicum, vol. 34 (1998), issue 1, pp. 13-22
• Tiryaki, Aydın; Çelebi, A. Okay: Nonoscillation and asymptotic behaviour for third order nonlinear differential equations. (English). Czechoslovak Mathematical Journal, vol. 48 (1998), issue 4, pp. 677-685
• Szulkin, Andrzej: Generalized linking theorem and nonlinear equations in unbounded domains. (English). In: Agarwal, Ravi P., Neuman, F. and Vosmanský, J. (eds.): Proceedings of Equadiff 9, Conference on Differential Equations and Their Applications, Brno, August 25-29, 1997. [Part 1] Survey papers. Masaryk University, Brno, 1998. pp. 159-168
• Greguš, M.: On a perturbed nonlinear third order differential equation. (English). Archivum Mathematicum, vol. 33 (1997), issue 1, pp. 121-126
• Bartušek, Miroslav: On the structure of oscillatory solutions of a third order differential equation. (English). Archivum Mathematicum, vol. 33 (1997), issue 3, pp. 323-334
• Kováčová, Monika: The property (A) for a certain class of the third order ODE. (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. 167-180
• Lomtatidze, A.: Oscillation and nonoscillation of Emden-Fowler type equations of second order. (English). Archivum Mathematicum, vol. 32 (1996), issue 3, pp. 181-193
• Graef, John R.; Spikes, Paul W.: Continuability, boundedness, and convergence to zero of solutions of a perturbed nonlinear ordinary differential equation. (English). Czechoslovak Mathematical Journal, vol. 45 (1995), issue 4, pp. 663-683
• Cimatti, Giovanni; Feireisl, Eduard: A simple model of thermoelectric oscillations. (English). Applications of Mathematics, vol. 40 (1995), issue 2, pp. 147-158
• Hricišáková, Daniela: Zovšeobecnená Liénardova diferenciálna rovnica. (Slovak) [Generalized Liénard differential equation]. Pokroky matematiky, fyziky a astronomie, vol. 39 (1994), issue 1, pp. 26-34
• Bartušek, Miroslav: On the structure of solutions of a system of three differential inequalities. (English). Archivum Mathematicum, vol. 30 (1994), issue 2, pp. 117-130
• Andres, Ján; Staněk, Svatoslav: Note to the Lagrange stability of excited pendulum type equations. (English). Mathematica Slovaca, vol. 43 (1993), issue 5, pp. 617-630
• Greguš, Michal: On the oscillatory behaviour of certain third order nonlinear differential equation. (English). Archivum Mathematicum, vol. 28 (1992), issue 2, pp. 221-228
• Herrmann, Leopold: Optimal oscillatory time for a class of second order nonlinear dissipative ODE. (English). Applications of Mathematics, vol. 37 (1992), issue 5, pp. 369-382
• Medveď, Milan: Oscillatory properties of some classes of nonlinear differential equations. (English). Mathematica Bohemica, vol. 117 (1992), issue 2, pp. 123-131
• Greguš, M.; Greguš, M., Jr.: Remark concerning oscillatory properties of solutions of a certain nonlinear equation of the third order. (English). Archivum Mathematicum, vol. 28 (1992), issue 1, pp. 51-55
• Bartušek, Miroslav: On oscillatory solutions of nonlinear differential equations of the $n$-th order vanishing at infinity. (English). Archivum Mathematicum, vol. 26 (1990), issue 2, pp. 83-91
• Rusnák, Marián; Šoltés, Vincent: Asymptotic properties of solutions of the $n$th order differential equation with delayed argument. (English). Mathematica Slovaca, vol. 39 (1989), issue 3, pp. 289-295
• Andres, Ján: Erratum to my paper: On the “Poincaré-Lyapunov”-like systems of three differential equations. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 28 (1989), issue 1, pp. 61-63
• Grace, Said R.; Lalli, Bikkar S.: Oscillation theorems for nonlinear second order differential equations with a damping term. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 30 (1989), issue 4, pp. 691-697
• Schneider, K. R.: Relaxation oscillations in systems with different time scales. (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. 114-117
• 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
• Bartušek, Miroslav: On proper oscillatory solutions of the nonlinear differential equations of the $n$-th order. (English). Archivum Mathematicum, vol. 24 (1988), issue 2, pp. 89-98
• Drábek, Pavel: A resonance problem for nonlinear Duffing equation. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 29 (1988), issue 2, pp. 205-215
• Mihalíková, Božena: On the oscillation of a class of nonlinear differential systems with deviating arguments. (English). Mathematica Slovaca, vol. 37 (1987), issue 3, pp. 273-289
• Šeda, Valter: Nonoscillatory solutions of differential equations with deviating argument. (English). Czechoslovak Mathematical Journal, vol. 36 (1986), issue 1, pp. 93-107
• Šeda, Valter: On nonlinear differential systems with deviating arguments. (English). Czechoslovak Mathematical Journal, vol. 36 (1986), issue 3, pp. 450-466
• Mikunda, Ján; Rovder, Jozef: On nonoscillatory solutions of a class of nonlinear differential equations. (English). Mathematica Slovaca, vol. 36 (1986), issue 1, pp. 29-38
• Andres, Ján: On the ``Poincaré-Lyapunov”-like systems of three differential equations. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 25 (1986), issue 1, pp. 165-180
• Graef, John R.; Spikes, Paul W.: On the oscillatory behavior of solutions of second order nonlinear differential equations. (English). Czechoslovak Mathematical Journal, vol. 36 (1986), issue 2, pp. 275-284
• Grace, Said R.; Lalli, Bikkar S.: Oscillation theorem for a second order nonlinear ordinary differential equation with damping term. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 27 (1986), issue 3, pp. 449-453
• Bartušek, Miroslav: On properties of oscillatory solutions of non-linear differential equations of the n-th order. (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. [109]-113
• Hamedani, G. G.: Some remarks on a recent third order nonlinear oscillation result. (English). Časopis pro pěstování matematiky, vol. 110 (1985), issue 3, pp. 237-240
• Marušiak, Pavol: On the oscillation of nonlinear differential systems with retarded arguments. (English). Mathematica Slovaca, vol. 34 (1984), issue 1, pp. 73-88
• Vencková, Magdalena: Oscillation of a forced nonlinear differential equation. (English). Archivum Mathematicum, vol. 20 (1984), issue 2, pp. 59-68
• Kulcsár, Štefan; Šoltés, Pavel: Boundedness and oscillatoriness of solutions of a nonlinear differential equation of the second order. (English). Archivum Mathematicum, vol. 19 (1983), issue 1, pp. 43-56
• Rovder, Jozef: Nonoscillatory solutions of $n$th order nonlinear differential equation. (English). Časopis pro pěstování matematiky, vol. 107 (1982), issue 2, pp. 159-166
• Šoltés, Pavel: Oscillatory properties of solutions of second-order nonlinear delay differential equations. (English). Mathematica Slovaca, vol. 31 (1981), issue 2, pp. 207-215
• Bartušek, Miroslav: Monotonicity theorems for second order non-linear differential equations. (English). Archivum Mathematicum, vol. 16 (1980), issue 3, pp. 127-135
• Šoltés, Vincent: Oscillatory properties of solutions of a fourth-order nonlinear differential equation. (English). Mathematica Slovaca, vol. 29 (1979), issue 1, pp. 73-82
• Philos, Christos G.: Some results on the oscillatory and asymptotic behavior of the solutions of differential equations with deviating arguments. (English). Archivum Mathematicum, vol. 15 (1979), issue 1, pp. 19-36
• 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
• Ryabov, Yu.: Application of bounded operators and Lyapunov's majorizing equations to the analysis of differential equations with a small parameter. (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. [356]-365
• Morris, Sidney A.: The Schauder-Tychonoff Fixed Point Theorem and Applications. (English). Matematický časopis, vol. 25 (1975), issue 2, pp. 165-172
• Gera, Milan: Bedingungen der Nicht-Oszillationsfähigkeit und der Oszillationsfähigkeit für die lineare Differentialgleichung dritter Ordnung. (German). Matematický časopis, vol. 21 (1971), issue 1, pp. 65-79
• Karim, Rahmi Ibrahim Ibrahim Abdel: On the behaviour of the solutions and their first $(n-1)$ derivatives of the $n$-th order differential equations with periodic coefficients. (English). Archivum Mathematicum, vol. 6 (1970), issue 4, pp. 237-249
• Belohorec, Štefan: Monotone and Oscillatory Solutions of a Class of Nonlinear Differential Equations. (English). Matematický časopis, vol. 19 (1969), issue 3, pp. 169-186
• Kubík, Stanislav: Přibližné řešení nelineární diferenciální rovnice typu $f(x)\frac{d^2x}{dt^2}+g(x)\frac{dx}{dt}+h(x)=\varPhi(t)$. (Czech) [Approximate solution to differential equation of the type $f(x)\frac{d^2x}{dt^2}+g(x)\frac{dx}{dt}+h(x)=\varPhi(t)$]. Pokroky matematiky, fyziky a astronomie, vol. 1 (1956), issue 3, pp. 234-241
• Zlámal, Miloš: Nelineární vynucené oscilace. (Czech) [Nonlinear forced oscillations]. Časopis pro pěstování matematiky, vol. 77 (1952), issue 1, pp. 53-64