On transformations of singular quadratic functionals corresponding to equation $(py')'+qy=0$
Archivum mathematicum, Tome 24 (1988) no. 2, pp. 75-81 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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     author = {Do\v{s}l\'a, Zuzana and Do\v{s}l\'y, Ond\v{r}ej},
     title = {On transformations of singular quadratic functionals corresponding to equation $(py')'+qy=0$},
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Došlá, Zuzana; Došlý, Ondřej. On transformations of singular quadratic functionals corresponding to equation $(py')'+qy=0$. Archivum mathematicum, Tome 24 (1988) no. 2, pp. 75-81. http://geodesic.mathdoc.fr/item/ARM_1988_24_2_a3/

[1] O. Borůvka: Lineare Differentialtransformationen 2. Ordnung. VEB Deutscher Verlag der Wissenschaften, Berlin 1967. | MR

[2] V. Kaňovský: Global transformations of linear differential equations and quadratic functionals I. Arch. Math. 19 (1983), 161-171. | MR

[3] V. Kaňovský: Global transformations of linear differential equations and quadratic functionals II. Arch. Math. 20 (1984), 149-156. | MR

[4] J. Krbila: Použitie transformácie diferenciálnych rovníc na kvadratické funkcionály. Sborník prací VŠD a VÚD, 15 (1968), 5-10.

[5] J. Krbila: Vyšetrovanie kvadratických funkcionál pomocou transformácie lineárnych diferenciálnych rovníc druhého radu. Sborník prací VŠD a VÚD, 44 (1971), 5-17.

[6] W. Leighton M. Morse: Singular quadratic functionals. Trans. Amer. Math. Soc. 40 (1936), 252-886. | MR

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

[8] W. Leighton A. D. Martin: Quadratic functionals with a singular end point. Trans. Amer. Math. Soc., 78 (1955), 98-128. | MR