Singular quadratic functionals and transformation of linear Hamiltonian systems
Došlá, Zuzana
Archivum Mathematicum, Tome 025 (1989), p. 223-234 / Harvested from Czech Digital Mathematics Library
Publié le : 1989-01-01
Classification:  34C10,  49K15
@article{107359,
     author = {Zuzana Do\v sl\'a},
     title = {Singular quadratic functionals and transformation of linear Hamiltonian systems},
     journal = {Archivum Mathematicum},
     volume = {025},
     year = {1989},
     pages = {223-234},
     zbl = {0825.34020},
     mrnumber = {1188066},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107359}
}
Došlá, Zuzana. Singular quadratic functionals and transformation of linear Hamiltonian systems. Archivum Mathematicum, Tome 025 (1989) pp. 223-234. http://gdmltest.u-ga.fr/item/107359/

C. D. Ahlbrandt D. B. Hinton R. T. Lewis The effect of variable change on oscillation and disconjugate criteria with application to spectral theory and asymptotic theory, J. Math. Anal. Appl. 81 (1981), 234-277. (1981) | MR 0618771

J. H. Barrett A Prüfer transformation for matrix differential equations, Proc. Ameг. Math. Soc. 8 (1957), 510-518. (1957) | MR 0087821 | Zbl 0079.10603

O. Borůvka Lineare Differential transformationen 2. Ordung, VEB Verlag Berlin 1967. (1967) | MR 0236448

W. A. Coppel Disconjugacy, Lectures Notes in Math. 220, Springer-Verlag, New York-Berlin-Heidelberg 1971. (1971) | MR 0460785 | Zbl 0224.34003

Z. Došlá O. Došlý On transformations of singular quadratic functionals corresponding to equation $(py')' + qy = 0$, Arch. Math. (Brno) 24, No. 2 (1988), 75-82. (1988) | MR 0983225

O. Došlý On transformation and oscillation of self-adjoint linear differential systems and the reciprocals, to appear in Annal. Pol. Math.

W. Leighton Z. Nehari On the oscillation of solutions of self-adjoint linear differential equations of the fourth order, Tгans. Amer. Math. Soc. 89 (1958), 325-377. (1958) | MR 0102639

V. Kaňovský Global transformations of linear differential equations and quadratic functionals I, Arch. Math. 19 (1983). (1983) | MR 0725199

V. Kaňovský Global transformations of linear differential equations and quadratic functionals II, Arch. Math. 20 (1984), 149-156. (1984) | MR 0784866

J. Krbila Investigation of quadratic functionals by transformation of linear second order differential equation, (Czech), Sborník prací VŠD a VÚD 44 (1971), 5-17. (1971) | MR 0322242

W. Leighton M. Morse Singular quadratic functionals, Trans. Amer. Math. Soc. 40 (1936), 252-286. (1936) | MR 1501873

W. Leighton Principal quadratic functionals, Trans. Amer. Math. Soc. 68 (1949), 253-274 (1949) | MR 0034535 | Zbl 0041.22404

W. Leighton A. Martin Quadratic functionals with a singular end point, Trans. Amer. Math. Soc. 78 (1955), 98-128. (1955) | MR 0066570

M. Morse Singular quadratic functionals, Math. Ann. 201 (1973), 315-340. (1973) | MR 0343150 | Zbl 0237.49013

M. Morse The calculus of variations in the large, 2nd ed., Amer. Math. Soc. Colloq. Poubl., vol. 18, Amer. Math. Soc., Providence R. I., 1960. (1960) | MR 1451874

W. T. Reid Sturmian Theory for Ordinary Differential Equations, Springer-Verlag, New York-Berlin-Heidelberg 1980. (1980) | MR 0606199 | Zbl 0459.34001

E. C. Tomastic Singular quadratic functionals of n dependent variables, Trans. Amer. Math. Soc. 124 (1966), 60-76. (1966) | MR 0196556

E. C. Tomastik Principal quadratic functionals, Trans. Amer. Math. Soc. 218 (1976), 297-309. (1976) | MR 0405208 | Zbl 0346.49013