Geodesic
Global transformations of linear differential equations and quadratic functionals. I
Archivum mathematicum, Tome 19 (1983) no. 3, pp. 161-171

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Classification : 34C10, 34C20 
Kaňovský, Vladimír. Global transformations of linear differential equations and quadratic functionals. I. Archivum mathematicum, Tome 19 (1983) no. 3, pp. 161-171. http://geodesic.mathdoc.fr/item/ARM_1983_19_3_a7/
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[1] Borůvka O.: Lineare Differentialtransformationen 2. Ordnung. VEB Deutscher Veгlag der Wissenschaften. Berlin, 1967. In English: Linear Differential Transformation of the Second Order. The English Universities Press Ltd. 1971, London.

[2] Coppel W. A.: Disconjugacy. Springer, 1971. | MR | Zbl

[3] Kolmogorov A. N., Fomin S. V.: Základy teorie funkcí a funkcionální analýzy. SNTL Praha, 1975.

[4] Krbiľa J.: Použitie transformácie diferenciálnych rovníc na кvadratické funkcionály. Sborník prací VŠD a VUD č. 15,1968, 5-10.

[Я Krbiľa J.: Vyšetrovanie kvadratických funkcionál. Sborník prací VŠD a VUD č. 25, 1969, 27-34.

[6] Krbiľa J.: Vyšetrovanie kvadratických funkcionál pomocou transformácie lineárnych diferenciálnych rovníc druhého rádu. Sborník prací VŠD a VUD č. 44, 1971, 5-17.

[7] Krbiľa J.: Sufficient condition for definiteness of linear differential equation of second order. Práce a studie VŠD 1, 1974, 21-25. | MR

[8] Leighton W.: Principal quadratic functionals. Trans. Amer. Math. Soc. vol. 68, 1949, 253-274. | MR | Zbl

[9] Leighton W., Martin A. D.: Quadratic functionals with a singular endpoint. Trans. Amer. Math. Soc. vol. 78, 1955, 98-128. | MR

[10] Leighton W.: The conjugacy function. Proc. Amer. Math. Soc. 24,1970, 820--823. | MR | Zbl

[11] Morse M., Leighton W.: Singular quadratic functionals. Trans. Amer. Math. Soc. vol. 40, 1936, 252-286. | MR | Zbl

[12] Neuman F.: Extremal Property of the Equation $y'' =-k^2 y$. Arch. Math. (Brno) 3, 1967, 161-164. | MR | Zbl

[1З] Neuman F.: Linear differential equations of second order and their applications. Rend. Math. 3, 1971, 559-617. | MR

[14] Neuman F.: Globální transformace lineárních diferenciálních rovnic n-tého řádu, $n\geq 2$. Doktoгská disertační práce. Brno, 1976.