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34E05 Asymptotic expansions (54 articles)

• Hai, Pham Viet: Polynomial expansiveness and admissibility of weighted Lebesgue spaces. (English). Czechoslovak Mathematical Journal, vol. 71 (2021), issue 1, pp. 111-136
• Kilianová, Soňa; Ševčovič, Daniel: Expected utility maximization and conditional value-at-risk deviation-based Sharpe ratio in dynamic stochastic portfolio optimization. (English). Kybernetika, vol. 54 (2018), issue 6, pp. 1167-1183
• Svoboda, Zdeněk: Asymptotic properties of one differential equation with unbounded delay. (English). Mathematica Bohemica, vol. 137 (2012), issue 2, pp. 239-248
• Vrábeľ, Róbert: Boundary value problem with an inner point for the singularly perturbed semilinear differential equations. (English). Mathematica Bohemica, vol. 136 (2011), issue 1, pp. 1-8
• Mustafa, Octavian G.: On the oscillatory integration of some ordinary differential equations. (English). Archivum Mathematicum, vol. 44 (2008), issue 1, pp. 23-36
• 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
• Bobochko, V. N.; Markush, I. I.: System of differential equations with unstable turning point and multiple element of spectrum of degenerate operator. (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. 43-52
• Núñez, Manuel; Rojo, Jesús: A WKB analysis of the Alfvén spectrum of the linearized magnetohydrodynamics equations. (English). Applications of Mathematics, vol. 38 (1993), issue 1, pp. 23-38
• Schimming, Rainer: A formal series solution of the one-dimensional Schrödinger equation. (English). Archivum Mathematicum, vol. 27 (1991), issue 1, pp. 85-93
• 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
• Ohriska, Ján: Oscillatory and asymptotic properties of third and fourth order linear differential equations. (English). Czechoslovak Mathematical Journal, vol. 39 (1989), issue 2, pp. 215-224
• 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
• Kratz, Werner: Asymptotic behaviour of Riccati's differential equation associated with self-adjoint scalar equations of even order. (English). Czechoslovak Mathematical Journal, vol. 38 (1988), issue 2, pp. 351-365
• Miklo, Jozef: Asymptotic behaviour of solutions of the differential equation of the fourth order. II. (English). Mathematica Slovaca, vol. 38 (1988), issue 2, pp. 183-190
• Andres, Ján: Asymptotic properties of solutions of a certain third-order differential equation with an oscillatory restoring term. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 27 (1988), issue 1, pp. 201-210
• Kusano, Takaŝi; Naito, Manabu; Swanson, Charles A.: On the asymptotic behavior of solutions of nonlinear ordinary differential equations. (English). Czechoslovak Mathematical Journal, vol. 38 (1988), issue 3, pp. 498-519
• Šimša, Jaromír: Some converse theorems in the asymptotic theory of ordinary differential equations. (English). Czechoslovak Mathematical Journal, vol. 38 (1988), issue 3, pp. 425-433
• Došlý, Ondřej: On the Liouville-type transformation for differential systems. (English). Mathematica Slovaca, vol. 37 (1987), issue 4, pp. 341-349
• Rovder, Jozef: Asymptotic behaviour of solutions of a linear differential equation. (English). Archivum Mathematicum, vol. 22 (1986), issue 4, pp. 193-202
• Trench, William F.: Linear perturbations of a constant coefficient differential equation subject to mild integral smallness conditions. (English). Czechoslovak Mathematical Journal, vol. 36 (1986), issue 4, pp. 623-633
• Bartušek, Miroslav: The asymptotic behaviour of oscillatory solutions of the equation of the fourth order. (English). Archivum Mathematicum, vol. 21 (1985), issue 2, pp. 93-104
• Hylán, Jaroslav: Asymptotical properties of the Wronski determinant of a certain class of linear differential equations of the 2nd order. (English). Časopis pro pěstování matematiky, vol. 110 (1985), issue 1, pp. 13-18
• 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
• 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
• Šišolák, František: On some properties of the solutions of the third order nonlinear differential equations with delay. (English). Mathematica Slovaca, vol. 33 (1983), issue 4, pp. 335-339
• 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
• Wray, S. D.: Absolutely convergent expansions associated with a boundary-value problem with the eigenvalue parameter contained in one boundary condition. (English). Czechoslovak Mathematical Journal, vol. 32 (1982), issue 4, pp. 608-622
• 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
• Philos, Christos G.: Oscillations of superlinear differential equations with deviating arguments. (English). Archivum Mathematicum, vol. 18 (1982), issue 1, pp. 35-48
• Zeman, Jiří: Zur asymptotischen Integration der Differentialgleichung $y'' + q(t) y = 0$. (German) [On asymptotic integration of the differential equation $y'' + q(t) y = 0$]. Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika, vol. 20 (1981), issue 1, pp. 129-132
• Kalas, Josef: Asymptotic behaviour of equations $\dot z=q(t,z)-p(t)z^2$ and $\ddot x=x\varphi (t,\dot xx^{-1})$. (English). Archivum Mathematicum, vol. 17 (1981), issue 4, pp. 191-206
• 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
• 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
• Bartušek, Miroslav: On asymptotic properties of oscillatory solutions of the system of differential equations of fourth order. (English). Archivum Mathematicum, vol. 17 (1981), issue 3, pp. 125-136
• 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
• Radochová, Drahoslava; Tryhuk, Václav: Die asymptotischen Formeln für die Lösungen der kanonischen Differentialgleichung 3. Ordnung. (German) [Asymptotic formulas for solutions of the third order canonical differential equation]. Archivum Mathematicum, vol. 16 (1980), issue 1, pp. 51-58
• Radochová, Drahoslava; Tryhuk, Václav: Asymptotic and oscillation properties of third order linear differential equations. (English). Archivum Mathematicum, vol. 16 (1980), issue 3, pp. 167-173
• Rovder, Jozef: Asymptotic behaviour of solutions of the differential equation of the fourth order. (English). Mathematica Slovaca, vol. 30 (1980), issue 4, pp. 379-392
• Gera, Milan: Über die Untermengen der Lösungen der Gleichung $x'''+a(t)x"+b(t)x'+c(t)x= 0 c(t)\geq 0$. (German). Mathematica Slovaca, vol. 30 (1980), issue 3, pp. 313-326
• Res, Ivo: Asymptotic properties of solutions of the differential equation $\{A^{-1}_{n-1}(t)\dots[A^{-1}_1(t)y']'\dots\}'=A_n(t)y+F(t)$. (English). Archivum Mathematicum, vol. 15 (1979), issue 2, pp. 119-128
• Zeman, Jiří: Eine Bemerkung zur WKB-Methode. (German) [A note on the WKB method]. Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika, vol. 17 (1978), issue 1, pp. 61-68
• 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
• Hsieh, Po Fang: On asymptotic integrations of $x^2y''-P(x)y=0$. (English). Archivum Mathematicum, vol. 14 (1978), issue 2, pp. 75-83
• Guggenheimer, H.: On focal points and limit behavior of solutions of linear differential equations. (English). Archivum Mathematicum, vol. 14 (1978), issue 3, pp. 139-143
• Bajnov, D. D.; Milusheva, S. D.: Application of the averaging method for the solution of boundary problems for ordinary differential and integro-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. [16]-24
• 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
• Ráb, Miloš: Asymptotic formulas for solutions of the equation $[p(t)y']'=q(t)y+r(t)$. (English). Archivum Mathematicum, vol. 10 (1974), issue 2, pp. 79-85
• Res, Ivo: Asymptotische Entwicklungen der Lösungen der Differentialgleichung $[p(x)y']'+q(x)y=0$ im nichtoszillatorischen Fall. (German) [Asyptotic extensions of solutions of the equation $[p(x)y']'+q(x)y=0$ in the non-oscilatory case]. Časopis pro pěstování matematiky, vol. 97 (1972), issue 2, pp. 131-141
• 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
• Hallam, Thomas G.: Asymptotic integration of a nonhomogeneous differential equation with integrable coefficients. (English). Czechoslovak Mathematical Journal, vol. 21 (1971), issue 4, pp. 661-671
• Res, Ivo: Asymptotische Formeln für die Lösungen der linearen Differentialgleichungen dritter Ordnung. (German) [Asymptotic formulae for solving linear differential equations of third order]. Archivum Mathematicum, vol. 4 (1968), issue 3, pp. 133-139
• Ráb, Miloš: Rectification d'une formule dans l'article: „Les développements asymptotiques des solutions de l'équation $(py')'+qy=0$‟. (French) [Correction of a formula in the paper: “Asymptotic expansion of solutions of the equation $(py')'+qy=0$”]. Archivum Mathematicum, vol. 2 (1966), issue 4, pp. 183
• Ráb, Miloš: Les formules asymptotiques pour les solutions d'un système des équations différentielles. (French) [Asymptotic formulas for solutions of a system of differential equations]. Archivum Mathematicum, vol. 1 (1965), issue 3, pp. 199-212