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34A05 Explicit solutions and reductions (33 articles)

• Kasapoğlu, Kısmet: Exact solutions of generalized Lane-Emden equations of the second kind. (English). Applications of Mathematics, vol. 69 (2024), issue 6, pp. 747-755
• Castelli, Roberto; Lessard, Jean-Philippe; Mireles James, Jason D.: Analytic enclosure of the fundamental matrix solution. (English). Applications of Mathematics, vol. 60 (2015), issue 6, pp. 617-636
• Jaroš, Jaroslav: Wirtinger inequality and nonlinear differential systems. (English). Archivum Mathematicum, vol. 49 (2013), issue 1, pp. 35-41
• Schadewaldt, Nicole: The microstructure of Lipschitz solutions for a one-dimensional logarithmic diffusion equation. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 52 (2011), issue 2, pp. 227-255
• Rodionov, Alexei: Explicit solution for Lamé and other PDE systems. (English). Applications of Mathematics, vol. 51 (2006), issue 6, pp. 583-595
• Ibrahim, Sobhy El-sayed: The spectra of general differential operators in the direct sum spaces. (English). Czechoslovak Mathematical Journal, vol. 54 (2004), issue 1, pp. 9-29
• Hinterleitner, Franz: On a new set of orthogonal polynomials. (English). Archivum Mathematicum, vol. 39 (2003), issue 2, pp. 117-121
• 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
• O'Regan, Donal: Landesman Lazer type results for first order periodic problems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 38 (1997), issue 2, pp. 297-308
• 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
• Jódar, Lucas: Boundary value problems for coupled systems of second order differential equations with a singularity of the first kind: explicit solutions. (English). Applications of Mathematics, vol. 39 (1994), issue 1, pp. 1-13
• Mařík, Jan Integrating factor (English). Math. Bohem. 119 (3) (1994), 225–229
• Mařík, Jan: Integrating factor. (English). Mathematica Bohemica, vol. 119 (1994), issue 3, pp. 225-229
• 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
• Jódar, Lucas; Navarro, Enrique: Explicit solutions for boundary value problems related to the operator equations $X^{(2)}-AX=0$. (English). Applications of Mathematics, vol. 36 (1991), issue 6, pp. 409-416
• Schimming, Rainer: A formal series solution of the one-dimensional Schrödinger equation. (English). Archivum Mathematicum, vol. 27 (1991), issue 1, pp. 85-93
• Chrastina, Jan: On formal theory of differential equations. II. (English). Časopis pro pěstování matematiky, vol. 114 (1989), issue 1, pp. 60-105
• Jódar, Lucas; Navarro, E.: On the generalized Riccati matrix differential equation. Exact, approximate solutions and error estimate. (English). Aplikace matematiky, vol. 34 (1989), issue 6, pp. 429-438
• Reizinsh, L.: Theory of completely integrable equations. (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. 110-113
• Berkovich, L. M.: Canonical forms of ordinary linear differential equations. (English). Archivum Mathematicum, vol. 24 (1988), issue 1, pp. 25-42
• 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
• Zeman, Jiří: Zur Lösung der Wellengleichung. (German) [To the solution of the wave equation]. Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika, vol. 19 (1980), issue 1, pp. 51-64
• 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
• 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
• Krbiľa, Jaroslav: Explicit Solutions of Several Kummer's Nonlinear Differential Equations. (English). Matematický časopis, vol. 24 (1974), issue 4, pp. 343-348
• Rovder, Jozef: Zeros of the Polynomial Solutions of the Differential Equation $xy''+ (\beta_0 +\beta_1 x + \beta_2 x^2)y ' + (\gamma-n \beta_2 x)y=0$. (English). Matematický časopis, vol. 24 (1974), issue 1, pp. 15-20
• Kobza, Jiří: Zur Bestimmung der Grundintegrale von Differentialgleichung $y''=q(x)y$. (German) [On determination of basic integrals of differential equation $y''=q(x)y$]. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica-Physica-Chemica, vol. 12 (1972), issue 1, pp. 23-33
• 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
• Kobza, Jiří: O polynomických řešeních homogenní lineární diferenciální rovnice druhého řádu. (Czech) [On polynomial solutions of homogeneous second order linear differential equations]. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica-Physica-Chemica, vol. 11 (1971), issue 1, pp. 37-49
• Ráb, Miloš: On the existence of solutions of certain nonlinear equations occurring in the transformation theory of a linear second order differential equation with complex valued coefficients. (English). Archivum Mathematicum, vol. 6 (1970), issue 2, pp. 75-78
• Ráb, M.: Asymptotic formulas for the solutions of the equation (py')' + qy = 0. (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. 217-220
• Greguš, Michal: Die Anwendung der Quasilinearisation auf gewisse Probleme aus der Theorie der gewöhnlichen Differentialgleichungen 3. Ordnung. (German) [Application of quasilinearization to some problems of the theory of third order ordinary differential equations]. Archivum Mathematicum, vol. 1 (1965), issue 3, pp. 189-198
• Seydler, August: Poznámka k integrování některých differenciálních rovnic lineárních. (Czech) [A remark on integration of some linear differential equations]. Časopis pro pěstování mathematiky a fysiky, vol. 1 (1872), issue 4, pp. 195-197