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34D05 Asymptotic properties (91 articles)

• 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
• Sugie, Jitsuro; Onitsuka, Masakazu: Global asymptotic stability for half-linear differential systems with coefficients of indefinite sign. (English). Archivum Mathematicum, vol. 44 (2008), issue 4, pp. 317-334
• Mustafa, Octavian G.: On the oscillatory integration of some ordinary differential equations. (English). Archivum Mathematicum, vol. 44 (2008), issue 1, pp. 23-36
• Kamo, Ken-ichi; Usami, Hiroyuki: Positive unbounded solutions of second order quasilinear ordinary differential equations and their application to elliptic problems. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 4, pp. 1153-1165
• 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
• 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
• Bartušek, Miroslav: Singular solutions for the differential equation with $p$-Laplacian. (English). Archivum Mathematicum, vol. 41 (2005), issue 1, pp. 123-128
• Kamo, Ken-ichi: Asymptotic equivalence for positive decaying solutions of the generalized Emden-Fowler equations and its application to elliptic problems. (English). Archivum Mathematicum, vol. 40 (2004), issue 2, pp. 209-217
• Megan, Mihail; Sasu, Bogdan; Sasu, Adina Luminiţa: Exponential expansiveness and complete admissibility for evolution families. (English). Czechoslovak Mathematical Journal, vol. 54 (2004), issue 3, pp. 739-749
• Megan, Mihail; Sasu, Adina Luminiţa; Sasu, Bogdan: Exponential stability and exponential instability for linear skew-product flows. (English). Mathematica Bohemica, vol. 129 (2004), issue 3, pp. 225-243
• 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
• Palumbíny, Oleg: On oscillation criteria of fourth order linear differential equations. (English). Czechoslovak Mathematical Journal, vol. 53 (2003), issue 2, pp. 467-477
• Naulin, Raúl: On the instability of linear nonautonomous delay systems. (English). Czechoslovak Mathematical Journal, vol. 53 (2003), issue 3, pp. 497-514
• Lin, C. S.: Asymptotic behavior of solutions of a $2n^{th}$ order nonlinear differential equation. (English). Czechoslovak Mathematical Journal, vol. 52 (2002), issue 3, pp. 665-672
• Sobalová, Monika: Asymptotic behaviour of nonoscillatory solutions of the fourth order differential equations. (English). Archivum Mathematicum, vol. 38 (2002), issue 4, pp. 311-317
• Bartušek, M.; Osička, J.: Asymptotic behaviour of oscillatory solutions of a fourth-order nonlinear differential equation. (English). Mathematica Bohemica, vol. 127 (2002), issue 3, pp. 385-396
• Došlý, Ondřej: Qualitative theory of half-linear second order differential equations. (English). Mathematica Bohemica, vol. 127 (2002), issue 2, pp. 181-195
• Adamec, Ladislav: On asymptotic properties of a strongly nonlinear differential equation. (English). Czechoslovak Mathematical Journal, vol. 51 (2001), issue 1, pp. 121-126
• Došlý, Ondřej: Qualitative theory of half-linear second order differential equations. (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. 37-50
• Diblík, Josef; Růžičková, Miroslava: Existence of positive solutions of $n$-dimensional system of nonlinear differential equations entering into a singular point. (English). Archivum Mathematicum, vol. 36 (2000), issue 5, pp. 435-446
• Kirane, M.; Tatar, N.-E.: Global existence and stability of some semilinear problems. (English). Archivum Mathematicum, vol. 36 (2000), issue 1, pp. 33-44
• Matucci, Serena: On asymptotic decaying solutions for a class of second order differential equations. (English). Archivum Mathematicum, vol. 35 (1999), issue 3, pp. 275-284
• Palumbíny, Oleg: On oscillatory solutions of fourth order ordinary differential equations. (English). Czechoslovak Mathematical Journal, vol. 49 (1999), issue 4, pp. 779-790
• Koliha, J. J.; Straškraba, Ivan: Power bounded and exponentially bounded matrices. (English). Applications of Mathematics, vol. 44 (1999), issue 4, pp. 289-308
• Elbert, Árpád: Additive groups connected with asymptotic stability of some differential equations. (English). Archivum Mathematicum, vol. 34 (1998), issue 1, pp. 49-58
• Adamec, Ladislav: Kinetical systems—local analysis. (English). Applications of Mathematics, vol. 43 (1998), issue 2, pp. 111-117
• 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
• Palumbíny, Oleg: On existence of Kneser solutions of a certain class of $n$-th order nonlinear differential equations. (English). Mathematica Bohemica, vol. 123 (1998), issue 1, pp. 49-65
• Parhi, N.; Das, P.: On the oscillation of a class of linear homogeneous third order differential equations. (English). Archivum Mathematicum, vol. 34 (1998), issue 4, pp. 435-443
• Andres, Ján; Fišer, Jiří; Jüttner, Libor; Velecká, Ivona: Population dynamics of Bithynia tentaculata. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 37 (1998), issue 1, pp. 7-34
• Medveď, Milan: Singular integral inequalities and stability of semilinear parabolic equations. (English). Archivum Mathematicum, vol. 34 (1998), issue 1, pp. 183-190
• Adamec, Ladislav: Kinetical systems. (English). Applications of Mathematics, vol. 42 (1997), issue 4, pp. 293-309
• Šeda, Valter: Some classes of linear $n$th-order differential equations. (English). Archivum Mathematicum, vol. 33 (1997), issue 1, pp. 157-165
• Nikitin, S.: Decoupling normalizing transformations and local stabilization of nonlinear systems. (English). Mathematica Bohemica, vol. 121 (1996), issue 3, pp. 225-248
• Andres, Ján; Turský, Tomáš: On the method of Esclangon. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 35 (1996), issue 1, pp. 7-20
• Futák, Ján; Haščák, Alexander: Asymptotic and integral equivalence of multivalued differential systems. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 34 (1995), issue 1, pp. 21-30
• 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
• Neustupa, Jiří: A principle of linearization in theory of stability of solutions of variational inequalities. (English). Mathematica Bohemica, vol. 120 (1995), issue 4, pp. 337-345
• Moravčík, Jozef: Some oscillatory properties of the perturbed linear differential equations of order $n$. (English). Archivum Mathematicum, vol. 31 (1995), issue 4, pp. 305-311
• Klebanov, Boris S.: On $\omega$-limit sets of nonautonomous differential equations. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 2, pp. 267-281
• Švec, Marko: Oscillatory properties of a differential inclusion of order $n>1$ and the asymptotic equivalence. (English). Czechoslovak Mathematical Journal, vol. 44 (1994), issue 3, pp. 561-569
• Růžičková, Miroslava: The asymptotic properties of solutions of differential system of the form $g_i(x)y'_i=u_i(y_i)+f_i(x,y_1,\cdots, y_n)$, $i=1,2,\cdots, n$ in some neighbourhood of a singular point. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 32 (1993), issue 1, pp. 151-158
• Došlá, Zuzana; Háčik, Miloš; Muldoon, Martin E.: Further higher monotonicity properties of Sturm-Liouville functions. (English). Archivum Mathematicum, vol. 29 (1993), issue 1, pp. 83-96
• Džurina, Jozef: Comparison theorems for nonlinear ODE's. (English). Mathematica Slovaca, vol. 42 (1992), issue 3, pp. 299-315
• Fraňková, Dana: Substitution method for generalized linear differential equations. (English). Mathematica Bohemica, vol. 116 (1991), issue 4, pp. 337-359
• Izobov, N. A.; Stepanovich, O. P.: Oб инвариантности характеристических показателей линейных систем при экспоненциально убывающих возмущениях. (Russian) [On the invariance of characteristic exponents of linear systems under exponentially decreasing perturbations]. Archivum Mathematicum, vol. 26 (1990), issue 2, pp. 107,108-114
• Mihalíková, Božena: Asymptotic behaviour of all solutions of differential systems with deviating arguments. (English). Mathematica Slovaca, vol. 40 (1990), issue 1, pp. 71-86
• Greguš, Michal: On the asymptotic properties of solutions of nonlinear third order differential equation. (English). Archivum Mathematicum, vol. 26 (1990), issue 2, pp. 101-105
• 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
• Feťková, Jana: Asymptotic behaviour of the solutions of a certain type of the third order differential equations. (English). Mathematica Slovaca, vol. 39 (1989), issue 2, pp. 215-224
• Šimša, J.: Linear perturbations of differential systems with constant matrices. (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. 123-126
• Osička, Jan: The sufficient condition of the asymptotic stability of two-dimensional linear systems. (English). Archivum Mathematicum, vol. 24 (1988), issue 2, pp. 83-85
• Vojtenko, Sergej S.: Existence conditions for stabilizing and antistabilizing solutions to the nonautonomous matrix Riccati differential equation. (English). Kybernetika, vol. 23 (1987), issue 1, pp. 32-43
• Osička, Jan: On the asymptotic stability of two-dimensional linear systems. (English). Archivum Mathematicum, vol. 23 (1987), issue 3, pp. 171-180
• Andres, Ján: Symmetry in a certain simply perturbed Hamiltonian system. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 26 (1987), issue 1, pp. 131-138
• Meisters, Gary H.; Olech, Czesław: Global asymptotic stability for plane polynomial flows. (English). Časopis pro pěstování matematiky, vol. 111 (1986), issue 2, pp. 123-126
• Miklo, Jozef: On an asymptotic behaviour of solutions of the differential equation of the fourth order. (English). Mathematica Slovaca, vol. 36 (1986), issue 1, pp. 69-83
• Andres, Ján: A useful proposition to nonlinear differential systems with a solution of the prescribed asymptotic properties. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 25 (1986), issue 1, pp. 157-164
• Kusano, Takaŝi: On the asymptotic behavior of solutions of nonlinear ordinary differential equations. (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. 465-468
• Voskresenskiĭ, Evgeniĭ Viktorovich: Покомпонентная асимптотика и гомеоморфизм дифференциальных уравнений на многообразиях. (Russian) [Componentwise asymptotics and homeomorphism of differential equations on manifolds]. Czechoslovak Mathematical Journal, vol. 35 (1985), issue 3, pp. 455-466
• Kuben, Jaromír: Asymptotic equivalence of second order differential equations. (English). Czechoslovak Mathematical Journal, vol. 34 (1984), issue 2, pp. 189-202
• Crell, B.: Dissipative systems. (English). In: Frolík, Z. (ed.): Proceedings of the 12th Winter School on Abstract Analysis. Section of Topology. Circolo Matematico di Palermo, Palermo, 1984. pp. 75-82
• Kalas, Josef: On certain asymptotic properties of the solutions of the equation $\dot z=f(t,z)$ with a complex-valued function $f$. (English). Czechoslovak Mathematical Journal, vol. 33 (1983), issue 3, pp. 390-407
• Rovder, Jozef: Oscillatory properties of the fourth order linear differential equation. (English). Mathematica Slovaca, vol. 33 (1983), issue 4, pp. 371-379
• 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
• Tesařová, Zuzana: The Riccati differential equation with complex-valued coefficients and application to the equation $x''+P(t)x'+Q(t)x=0$. (English). Archivum Mathematicum, vol. 18 (1982), issue 3, pp. 133-143
• Hošek, Josef: Jacobische Differentialgleichung mit hyperbolischen Phasen die der primitiven Funktion zur Quadratwurzel aus ihrem Träger gleich sind. (German) [Jacobi differential equation with hyperbolic phases that are equal to the primitive function of the square root of its carrier]. Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika, vol. 20 (1981), issue 1, pp. 65-75
• 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
• Kalas, Josef: On the asymptotic behaviour of the equation $dz/dt=f(t,z)$ with a complex-valued function $f$. (English). Archivum Mathematicum, vol. 17 (1981), issue 1, pp. 11-22
• Bobrowski, Dobiesław: On the convergence of solutions of random differential 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. 54-57
• Staněk, Svatoslav: On the generalized Floquet theory of disconjugate differential equations $y'' = q(t) y$. (English). Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika, vol. 20 (1981), issue 1, pp. 101-115
• Kurzweil, Jaroslav: 8. Asymptotický průběh řešení lineárních diferenciálních rovnic. (Czech) [8. Asymptotic behaviour of solutions of linear differential equations]. In: Kurzweil, Jaroslav: Obyčejné diferenciální rovnice. (Czech). Praha: SNTL - Nakladatelství technické literatury, 1978. pp. 165-168
• Regenda, Ján: On some properties of third-order linear differential equation. (English). Mathematica Slovaca, vol. 26 (1976), issue 1, pp. 3-18
• Ráb, Miloš: Asymptotic behaviour of the equation $x''+p(t)x'+q(t)x=0$ with complex-valued coefficients. (English). Archivum Mathematicum, vol. 11 (1975), issue 4, pp. 193-204
• Kalas, Josef: Asymptotic behaviour of the system of two differential equations. (English). Archivum Mathematicum, vol. 11 (1975), issue 3, pp. 175-186
• Staněk, Svatoslav: Asymptotic properties of dispersions of the differential equations $y''=q(t)y$. (English). Archivum Mathematicum, vol. 11 (1975), issue 2, pp. 85-98
• Zabczyk, Jerzy: A note on the exponential stability of a matrix Riccati equation of stochastic control. (English). Kybernetika, vol. 11 (1975), issue 3, pp. (218)-222
• Moravský, Ladislav: Некоторые колеблющиеся свойства решений нелинейного дифференциального уравнения вида $y'''+p(x)y''+q(x)f(y')+r(x)h(y)=0$. (Russian) [Some oscillation properties of the solutions of the nonlinear differential equation $y'''+p(x)y''+q(x)f(y')+r(x)h(y)=0$]. Archivum Mathematicum, vol. 11 (1975), issue 3, pp. 139-149
• Res, Ivo: Asymptotische Eigenschaften einer perturbierten iterierten Differentialgleichung. (German) [Asymptotic properties of a perturbed iterated differential equation]. Archivum Mathematicum, vol. 10 (1974), issue 3, pp. 149-157
• Švec, Marko: Asymptotic relationship between solutions of two systems of differential equations. (English). Czechoslovak Mathematical Journal, vol. 24 (1974), issue 1, pp. 44-58
• Res, Ivo: Asymptotische Eigenschaften der Lösungen des Systems $\{A^{-1}_{n-1}(x)\dots[A^{-1}_1(x)y']\dots\}'=A_n(x)y$. (German) [Asymptotic properties of solutions of the system $\{A^{-1}_{n-1}(x)\dots[A^{-1}_1(x)y']\dots\}'=A_n(x)y$]. Archivum Mathematicum, vol. 9 (1973), issue 3, pp. 105-114
• Šoltés, Pavol: A Remark on the Oscillatoriness of Solutions of a Non-Linear Third-Order Equation. (English). Matematický časopis, vol. 23 (1973), issue 4, pp. 326-332
• 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
• Ráb, Miloš: Asymptotic expansions of solutions of the equation $(p(x)y')'-q(x)y=0$ with complex-valued coefficients. (English). Archivum Mathematicum, vol. 8 (1972), issue 1, pp. 1-15
• Bartušek, Miroslav: Connection between asymptotic properties and zeros of solutions of $y''=q(t)y$. (English). Archivum Mathematicum, vol. 8 (1972), issue 3, pp. 113-124
• Ráb, Miloš: Second order differential equations with complex-valued coefficients. (English). Czechoslovak Mathematical Journal, vol. 22 (1972), issue 4, pp. 590-599
• Švec, Marko: Some remarks on the asymptotic equivalence. (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. 155-160
• Voráček, Jan: On the solution of certain non-linear differential equations of the third order. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica-Physica-Chemica, vol. 11 (1971), issue 1, pp. 147-156
• Zeman, Jiří: Über asymptotische Eigenschaften von Integralen der Sturm- Liouvilleschen Differentialgleichung mit sog. Übergangspunkt. (German) [On asymptotic properties of integrals of Sturm-Liouville differential equations with so called transition point]. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica-Physica-Chemica, vol. 11 (1971), issue 1, pp. 163-177
• Voráček, Jan: Poznámka o jistých nelineárních diferenciálních rovnicích 3. a 4. řádu. (Czech) [A note on certain third and fourth order nonlinear differential equations]. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica-Physica-Chemica, vol. 9 (1968), issue 1, pp. 93-101
• Voráček, Jan: O některých nelineárních diferenciálních rovnicích třetího řádu. (Czech) [Certain third order nonlinear differential equations]. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica-Physica-Chemica, vol. 7 (1966), issue 1, pp. 109-127