Geodesic
Categorial approach to global transformations of the $n$-th order linear differential equations
Časopis pro pěstování matematiky, Tome 102 (1977) no. 4, pp. 350-355

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DOI : 10.21136/CPM.1977.108526
Classification : 34C20 
Neuman, František. Categorial approach to global transformations of the $n$-th order linear differential equations. Časopis pro pěstování matematiky, Tome 102 (1977) no. 4, pp. 350-355. doi: 10.21136/CPM.1977.108526
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[1] O. Borůvka: Linear differential transformations of the second order. The English Univ. Press, London 1971. | MR

[2] O. Borůvka: Teopия глобальных свойств обыкновенных линейных дифференциальных уравнений второго порядка. Дифференциальные уравнения 12 (1976), 1347-1383.

[3J M. Hasse & L. Michler: Theorie der Kategorien. VEB, Berlin 1966. | MR

[4] E. E. Kummer: De generali quadam aequatione differentiali tertii ordinis. Progr. Evang. Royal & State Gymnasium, reprinted in J. Reine Angew. Math. (Crelle Journal) I00 (1887), 1-10.

[5] M. Laguerre: Sur les equations differentielles lineaires du troisieme ordere. Comptes rendus S3 (1879), 116-119.

[6] F. Neuman: Geometrical approach to linear differential equations of the 11-th order. Rend. Mat. 4 (1972), 579-602. | MR

[7] F. Neuman: Global transformations of linear differential equations of the n-th order. Kniž- nice odb. a věd. spisu VUT Brno, B-56 (1975), 165-171. | MR | Zbl

[8] F. Neuman: $L^2$-solutions of $y'' = q(t)y$ and a functional equation. Aequationes Math. 6 (1971), 162-169. | MR

[9] F. Neuman: A role of Abel's equation in]the stability theory of differential equations. Aequationes Math. 6 (1971), 66-70. | MR | Zbl

[10] F. Neuman: Distribution of zeros of solutions of $y'' = q(t)y$ in relation to their behaviour in large. Studia Sci. Math. Hungar. 8 (1973), 177-185. | MR | Zbl

[11] F. Neuman: On a problem of transformations between limit-circle and limit-point differen- tial equations. Proc. Roy. Soc. Edinbutgh, Sect. A. 72 (1973/74), 187-193. | MR

[12] F. Neuman: On solutions of the vector functional equation $y(\xi((x)) = f(x)\cdot A \cdot y(x)$. to appear in Aequationes Math. I5 (1977). | MR | Zbl

[13] P. Stackel: Ober Transformationen von Differentialgleichungen. J. Reine Angew. Math. (Crelle Journal) III (1893), 290-302.

[14] J. Tabor: Characterization of subgroupoids of a given groupoid. Tensor 29 (1975), 64-68. | MR | Zbl

[15] E. J. Wilczynski: Projective differential geometry of curves and ruled surfaces. Teubner - Leipzig 1906.

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