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34A25 Analytical theory: series, transformations, transforms, operational calculus, etc. (93 articles)

• Pozza, Stefano; Van Buggenhout, Niel: The $\star$-product approach for linear ODEs: A numerical study of the scalar case. (English). In: Chleboun, J., Kůs, P., Papež, J., Rozložník, M., Segeth, K. and Šístek, J. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Jablonec nad Nisou, June 19-24, 2022. Institute of Mathematics CAS, Prague, 2023. pp. 187-198
• Shehata, Ayman; Upadhyaya, Lalit Mohan: Some relations satisfied by Hermite-Hermite matrix polynomials. (English). Mathematica Bohemica, vol. 142 (2017), issue 2, pp. 145-162
• Fischer, Alexandr: Almost periodic solutions with a prescribed spectrum of linear and quasilinear differential equations with almost periodic coefficients and constant time lag (Neutral differential equations). (English). Mathematica Bohemica, vol. 137 (2012), issue 3, pp. 293-310
• Svoboda, Zdeněk: Asymptotic properties of one differential equation with unbounded delay. (English). Mathematica Bohemica, vol. 137 (2012), issue 2, pp. 239-248
• Petković, Marko D.; Barry, Paul; Rajković, Predrag: Closed-form expression for Hankel determinants of the Narayana polynomials. (English). Czechoslovak Mathematical Journal, vol. 62 (2012), issue 1, pp. 39-57
• Schulze-Halberg, Axel: A simple method for constructing non-liouvillian first integrals of autonomous planar systems. (English). Czechoslovak Mathematical Journal, vol. 56 (2006), issue 3, pp. 987-999
• Kanas, Stanisława; Kowalczyk, Joanna: A note on Briot-Bouquet-Bernoulli differential subordination. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 46 (2005), issue 2, pp. 339-347
• Tryhuk, Václav; Dlouhý, Oldřich: The moving frames for differential equations. II. Underdetermined and functional equations. (English). Archivum Mathematicum, vol. 40 (2004), issue 1, pp. 69-88
• Tryhuk, Václav; Dlouhý, Oldřich: The moving frames for differential equations. I. The change of independent variable. (English). Archivum Mathematicum, vol. 39 (2003), issue 4, pp. 317-333
• Tabor, Jacek: Differential equations in metric spaces. (English). Mathematica Bohemica, vol. 127 (2002), issue 2, pp. 353-360
• Tabor, Jacek: Differential equations in metric spaces. (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. 207-214
• Bartušek, Miroslav: On singular solutions of third order differential equations. (English). Mathematica Slovaca, vol. 51 (2001), issue 2, pp. 231-239
• Risteski, Ice B.: Reduction of the modified Poincaré differential equation to Birkhoff matrix form. (English). Archivum Mathematicum, vol. 37 (2001), issue 2, pp. 103-113
• Kučera, Milan: Examples of bifurcation of periodic solutions to variational inequalities in $\mathbb R^\kappa $. (English). Czechoslovak Mathematical Journal, vol. 50 (2000), issue 2, pp. 225-244
• Klapka, Lubomír: Integrals and variational multipliers of second-order ordinary differential equations. (English). In: Slovák, Jan and Čadek, Martin (eds.): Proceedings of the 20th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 2001. pp. 129-131
• Tryhuk, Václav: On global transformations of ordinary differential equations of the second order. (English). Czechoslovak Mathematical Journal, vol. 50 (2000), issue 3, pp. 499-508
• Tryhuk, Václav: On transformations $z(t)=y(\varphi(t))$ of ordinary differential equations. (English). Czechoslovak Mathematical Journal, vol. 50 (2000), issue 3, pp. 509-518
• Tryhuk, Václav: Remark to transformations of linear differential and functional-differential equations. (English). Czechoslovak Mathematical Journal, vol. 50 (2000), issue 2, pp. 265-278
• Tryhuk, Václav: Transformations $z(t)=L(t)y(\varphi(t))$ of ordinary differential equations. (English). Czechoslovak Mathematical Journal, vol. 50 (2000), issue 3, pp. 519-529
• Ryabov, Yu. A.: Numeric-analytical construction of Mathieu functions. (English). Mathematica Bohemica, vol. 124 (1999), issue 1, pp. 15-28
• Ibrahim, Sobhy El-sayed: On $L^2_w$-quasi-derivatives for solutions of perturbed general quasi-differential equations. (English). Czechoslovak Mathematical Journal, vol. 49 (1999), issue 4, pp. 877-890
• Palumbíny, Oleg: On oscillatory solutions of fourth order ordinary differential equations. (English). Czechoslovak Mathematical Journal, vol. 49 (1999), issue 4, pp. 779-790
• Fečkan, Michal: Periodic solutions in systems at resonances with small relay hysteresis. (English). Mathematica Slovaca, vol. 49 (1999), issue 1, pp. 41-52
• Elbert, Árpád; Vosmanský, Jaromír: On solutions of differential equations with ``common zero'' at infinity. (English). Archivum Mathematicum, vol. 33 (1997), issue 1, pp. 109-120
• Neuman, František: Transformation theory of linear ordinary differential equations -- from local to global investigations. (English). Archivum Mathematicum, vol. 33 (1997), issue 1, pp. 65-74
• Berkovich, L. M.; Rozov, N. H.: Transformations of linear differential equations of second order and adjoined nonlinear equations. (English). Archivum Mathematicum, vol. 33 (1997), issue 1, pp. 75-98
• Laitochová, Jitka: Associated linear differential equations to linear second order differential equations of Sturm, Jacobi and general form. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 34 (1995), issue 1, pp. 127-136
• Chrastinová, Veronika: On the Darboux transformation. II. (English). Archivum Mathematicum, vol. 31 (1995), issue 2, pp. 121-138
• Kierat, Władysław: A note on applications of the algebraic derivative to solving of some differential equations. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 32 (1993), issue 1, pp. 63-68
• Laitochová, Jitka: On transformations of two linear second order differential equations. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 31 (1992), issue 1, pp. 29-36
• Došlý, Ondřej: Principal solutions and transformations of linear Hamiltonian systems. (English). Archivum Mathematicum, vol. 28 (1992), issue 1, pp. 113-120
• Beneš, Karel: Dynamic systems described by differential equations with singularities of the type $frac00$ and their machine solving. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 30 (1991), issue 1, pp. 87-96
• Schimming, Rainer: A formal series solution of the one-dimensional Schrödinger equation. (English). Archivum Mathematicum, vol. 27 (1991), issue 1, pp. 85-93
• Beneš, Karel: Analog solution of a given problem in the back time. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 29 (1990), issue 1, pp. 269-282
• Tesaříková, Eva: To the theory of global transformation of the second order linear differential equations of finite type, special. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 29 (1990), issue 1, pp. 207-230
• Betancor, Jorge J.: A generalized Hankel transformation. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 30 (1989), issue 1, pp. 1-15
• Neuman, František: Smoothness as an invariant property of coefficients of linear differential equations. (English). Czechoslovak Mathematical Journal, vol. 39 (1989), issue 3, pp. 513-521
• Beneš, Karel: Application of the Laplace transform to simulating continuous systems. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 27 (1988), issue 1, pp. 317-345
• Laitochová, Jitka: On a canonical two-dimensional space of continuous functions. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 27 (1988), issue 1, pp. 111-148
• Laitochová, Jitka: To the definition of the global transformation in 2-dimensional linear spaces of continuous functions. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 26 (1987), issue 1, pp. 33-45
• Muldoon, Martin E.: On the zeros of some special functions: differential equations and Nicholson-type formulas. (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. [155]-160
• Zimka, Rudolf: Гладкое преобразование аналитической системы дифференциальных уравнений к квазинормальной форме. (Russian) [Smooth transformation of an analytic system of differential equations to quasinormal form]. Mathematica Slovaca, vol. 35 (1985), issue 1, pp. 9-21
• Zimka, Rudolf: Гладкое преобразование аналитической системы дифференциальных уравнений к нормальной форме. (Russian) [Smooth transformation of an analytic system of differential equations to normal form]. Časopis pro pěstování matematiky, vol. 110 (1985), issue 1, pp. 1-12
• Neuman, František: Stationary groups of linear differential equations. (English). Czechoslovak Mathematical Journal, vol. 34 (1984), issue 4, pp. 645-663
• Kojecká, Jitka: On phases of accompanying spaces to a linear two-dimensional space of functions with a continuous first derivative. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 22 (1983), issue 1, pp. 53-60
• Everitt, William Norrie: On the transformation theory of ordinary second-order linear symmetric differential expressions. (English). Czechoslovak Mathematical Journal, vol. 32 (1982), issue 2, pp. 275-306
• Beneš, Karel: Programming of differential equations with singularitiens of the type $\frac{0}{0}$ in using the extension to power series. (English). Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika, vol. 21 (1982), issue 1, pp. 119-131
• Berkovič, L. M.: Transformations and factorisation of ordinary nonlinear 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. 41-44
• Golokvoschyus, P. B.: Существование и построение периодических решений одной двухмерной нелинейной периодической системы дифференциальных уравнений. (Russian) [Existence and construction of periodic solutions of a two-dimensional nonlinear periodic system of differential equations]. 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. 115-118
• Beneš, Karel: Modelling transfer functions with nonzero initial conditions. (English). Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika, vol. 19 (1980), issue 1, pp. 111-118
• Staněk, Svatoslav: On an application of the generalized Floquet theory to the transformation of the equation $y''= q(t) y$ into its associated equation. (English). Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika, vol. 18 (1979), issue 1, pp. 81-92
• Rachůnková, Irena: Algebraic properties of phases of the differential equation $y'=q(t)y$. (English). Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika, vol. 17 (1978), issue 1, pp. 69-76
• Ligęza, Jan: The existence and the uniqueness of distributional solutions of some systems of non-linear differential equations. (English). Časopis pro pěstování matematiky, vol. 102 (1977), issue 1, pp. 30-36
• Gamkrelidze, H.: Exponential representation of solutions of ordinary 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. [118]-129
• Ligęza, Jan: On distributional solutions of some systems of linear differential equations. (English). Časopis pro pěstování matematiky, vol. 102 (1977), issue 1, pp. 37-41
• Borůvka, Otakar Contribution à la théorie algébrique des équations $Y''=Q(T)Y$ (French). Bollettino U.M.I., (5) 13-B, 1976, 896-915
• Zeman, Jiří: Eine Bemerkung zu einer Aufgabe von prof. N. P. Erugin. (German) [A remark to a problem of Prof. N. P. Erugin]. Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika, vol. 15 (1976), issue 1, pp. 35-49
• Matušů, Josef: Eine Bemerkung zur Lösung von Differentialgleichungen mit Parametern bei Anwendung der Lie-Reihen. (German) [A remark on solution of differential equations with parameters using the Lie series]. Aplikace matematiky, vol. 21 (1976), issue 6, pp. 457-462
• Suchomel, Jaromír: Разложение линейных однородных дифференциальных операторов на сомножители 1-го порядка. (Russian) [Decomposition of linear homogeneous differential operators into first order factors]. Archivum Mathematicum, vol. 12 (1976), issue 4, pp. 191-198
• Jarník, Vojtěch Diferenciální rovnice v komplexním oboru (Czech). Academia, Praha, 1975, 283 s.
• Jarník, Vojtěch: Dodatek: Modifikace methody největšího spádu. (Czech) [Supplement: Modification of the method of steepest descent]. In: Jarník, Vojtěch; Novák, Břetislav (other): Diferenciální rovnice v komplexním oboru. (Czech). Praha: Academia, 1975. pp. 266-278
• Jarník, Vojtěch: Kapitola II. Existenční věty pro řešení diferenciálních rovnic. (Czech) [Chapter II. Existence theorems for solutions of differential equations]. In: Jarník, Vojtěch; Novák, Břetislav (other): Diferenciální rovnice v komplexním oboru. (Czech). Praha: Academia, 1975. pp. 35-54
• Jarník, Vojtěch: Kapitola III. Lineární diferenciální rovnice a jejich systémy. (Czech) [Chapter III. Linear differential equations and their systems]. In: Jarník, Vojtěch; Novák, Břetislav (other): Diferenciální rovnice v komplexním oboru. (Czech). Praha: Academia, 1975. pp. 55-119
• Jarník, Vojtěch: Kapitola IV. Gaussova rovnice. (Czech) [Chapter IV. Gauss equation]. In: Jarník, Vojtěch; Novák, Břetislav (other): Diferenciální rovnice v komplexním oboru. (Czech). Praha: Academia, 1975. pp. 120-174
• Jarník, Vojtěch: Kapitola V. Laplaceovy rovnice. (Czech) [Chapter V. Laplace equations]. In: Jarník, Vojtěch; Novák, Břetislav (other): Diferenciální rovnice v komplexním oboru. (Czech). Praha: Academia, 1975. pp. 175-191
• Jarník, Vojtěch: Kapitola VI. Besselova rovnice. (Czech) [Chapter VI. Bessel equation]. In: Jarník, Vojtěch; Novák, Břetislav (other): Diferenciální rovnice v komplexním oboru. (Czech). Praha: Academia, 1975. pp. 192-265
• Borůvka, Otakar Sur la structure algébrique de la théorie des transformations différentielles linéaires du deuxième ordre (French). Acta Fac. Rer. Natur. Univ. Comenianae, Mathematica 31, 1975, 59-71
• 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
• Kobza, Jiří: Die Transformationsfunktion für eine Differentialgleichung zweiter Ordnung. (German) [The transform functions for a differential equation of the second order]. Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika, vol. 14 (1974), issue 1, pp. 5-16
• Hsieh, Po Fang: On a reduction of nonlinear ordinary differential equations at an irregular type singularity. (English). Archivum Mathematicum, vol. 10 (1974), issue 3, pp. 129-147
• Rachůnková, Irena: On the theory of phases of academican O. Borůvka. (English). Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika, vol. 14 (1974), issue 1, pp. 63-75
• Palát, Jindřich: О преобразованиях первых интегралов двух дифференциальных уравнений в частных производных первого порядка. (Russian) [On transforms of the first integrals of two partial differential equations of the first order]. Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika, vol. 14 (1974), issue 1, pp. 45-62
• 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
• Krbiľa, Jaroslav: Структурные формулы квадратичных функционалов. (Russian) [Structure Formulas of Quadratic Functionals]. Matematický časopis, vol. 23 (1973), issue 4, pp. 356-363
• Barvínek, Erich: Quadratic phases of differential equations $y''=q(t)y$. (English). Archivum Mathematicum, vol. 8 (1972), issue 2, pp. 63-78
• Brjuno, A. D.: Локальный метод в нелинейных резонансах. (Russian) [A local method in nonlinear resonances]. Archivum Mathematicum, vol. 8 (1972), issue 4, pp. 177-178
• Berkovič, L. M.; Rozov, N. Kh.: Приведение к автономному виду некоторых нелинейных дифференциальных уравнений 2-го порядка. (Russian) [A reduction to autonomous form of certain second order nonlinear differential equations]. Archivum Mathematicum, vol. 8 (1972), issue 4, pp. 219-226
• Moravčík, Jozef: Примечание к одной статье Берковича, Розова и Эйшинского. (Russian) [Note on a Paper by Berkovic, Rozov and Eisinskii]. Matematický časopis, vol. 22 (1972), issue 3, pp. 226-230
• Laitoch, Miroslav: Homogene lineare zu sich selbst begleitende Differentialgleichung zweiter Ordnung. (German) [Second order homogeneous linear differential equations that are associated to themselves]. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica-Physica-Chemica, vol. 11 (1971), issue 1, pp. 61-72
• Barvínek, Erich: Some properties of linear homogeneous transformation of independent variable in ordinary differential linear equations. (English). Aplikace matematiky, vol. 16 (1971), issue 6, pp. 431-438
• Neuman, František: Note on Kummer's transformation. (English). Archivum Mathematicum, vol. 6 (1970), issue 3, pp. 185-188
• Berkovich, L. M.: Об одном классе неавтономных нелинейных дифференциальных уравнений $n$-го порядка. (Russian) [On certain class of nonautonomous nonlinear differential equations of order $n$]. Archivum Mathematicum, vol. 6 (1970), issue 1, pp. 7-13
• Stach, Květomil: Die Kummerschen Transformationen in Räumen mit abgeschlossenen Phasen. Teil B: Transformationen in Räumen der gegeben Klasse. (German) [The Kummer transformations in spaces with closed phases. Part B: Transformations in spaces of a given class]. Archivum Mathematicum, vol. 5 (1969), issue 2, pp. 61-73
• Krbiľa, Jaroslav: Об определении не колеблющего дифференциального уравнения $y'' = q(t)y$ второй гиперболической фазой. (Russian) [On determination of a nonoscillatory differential equation of $y''=q(t)y$ by a second hyperbolic phase]. Archivum Mathematicum, vol. 5 (1969), issue 1, pp. 1-6
• Stach, Květomil: Die Kummerschen Transformationen in Räumen mit abgeschlossenen Phasen. Teil A: Allgemeine Eigenschaften. (German) [The Kummer transformations in spaces with closed phases. Part A: General properties]. Archivum Mathematicum, vol. 4 (1968), issue 3, pp. 141-156
• Flaisher, N. M.: Об одном рекуррентно-дифференциальном уравнении. (Russian) [On certain differential recurrence equation]. Archivum Mathematicum, vol. 4 (1968), issue 4, pp. 237-239
• Stach, Květomil: Die vollständigen Kummerschen Transformationen zweidimensionaler Räume von stetigen Funktionen. (German) [Complete Kummer transformations of two-dimensional spaces of continuous functions]. Archivum Mathematicum, vol. 3 (1967), issue 3, pp. 117-138
• Borůvka, Otakar Algebraic elements in the transformation theory of 2nd order linear oscillatory differential equations (English). Acta Fac. Rer. Nat. Univ. Comenianae, Math. 17 (Equadiff II), 1967, 27-36
• Borůvka, O.: Algebraic elements in the transformation theory of 2nd order linear oscillatory differential equations. (English). In: Šeda, Valter (ed.): Differential Equations and Their Applications. Proceedings of the Conference held in Bratislava in September 1966. Slovenské pedagogické nakladateľstvo, Bratislava, 1967. pp. 27-36
• Trávníček, Stanislav: О некоторых преобразованиях решений систем линейных дифференциальных уравнений первого порядка. (Russian) [Certain transformations of the solutions of systems of first order linear differential equations]. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica-Physica-Chemica, vol. 7 (1966), issue 1, pp. 89-95
• Laitoch, Miroslav: Ľéquation associée dans la théorie des transformations des équations différentielles du second ordre. (French) [Associated equation in theory of transformations on linear differential equations of second order]. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica-Physica-Chemica, vol. 4 (1963), issue 1, pp. 45-62
• Palát, Jindřich: Пример к теории преобразования и дисперсий О. Борувка. (Russian) [An example of the transformation and dispersion theory of O. Borůvka]. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica-Physica-Chemica, vol. 4 (1963), issue 1, pp. 63-68
• Trávníček, Stanislav: О преобразованиях решений систем двух линейных дифференциальных уравнений первого порядка. (Russian) [Transformations of the solutions of systems of two first order linear differential equations]. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica-Physica-Chemica, vol. 3 (1962), issue 1, pp. 151-162