| Title:
|
Singular quadratic functionals and transformation of linear Hamiltonian systems (English) |
| Author:
|
Došlá, Zuzana |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
25 |
| Issue:
|
3 |
| Year:
|
1989 |
| Pages:
|
223-234 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34C10 |
| MSC:
|
49K15 |
| idZBL:
|
Zbl 0825.34020 |
| idMR:
|
MR1188066 |
| . |
| Date available:
|
2008-06-06T06:20:44Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107359 |
| . |
| Reference:
|
[1] 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. MR 0618771 |
| Reference:
|
[2] J. H. Barrett: A Prüfer transformation for matrix differential equations.Proc. Ameг. Math. Soc. 8 (1957), 510-518. Zbl 0079.10603, MR 0087821 |
| Reference:
|
[3] O. Borůvka: Lineare Differential transformationen 2. Ordung.VEB Verlag Berlin 1967. MR 0236448 |
| Reference:
|
[4] W. A. Coppel: Disconjugacy.Lectures Notes in Math. 220, Springer-Verlag, New York-Berlin-Heidelberg 1971. Zbl 0224.34003, MR 0460785 |
| Reference:
|
[5] 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. MR 0983225 |
| Reference:
|
[6] O. Došlý: On transformation and oscillation of self-adjoint linear differential systems and the reciprocals.to appear in Annal. Pol. Math. |
| Reference:
|
[7] 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. MR 0102639 |
| Reference:
|
[8] V. Kaňovský: Global transformations of linear differential equations and quadratic functionals I.Arch. Math. 19 (1983). MR 0725199 |
| Reference:
|
[9] V. Kaňovský: Global transformations of linear differential equations and quadratic functionals II.Arch. Math. 20 (1984), 149-156. MR 0784866 |
| Reference:
|
[10] J. Krbila: Investigation of quadratic functionals by transformation of linear second order differential equation.(Czech), Sborník prací VŠD a VÚD 44 (1971), 5-17. MR 0322242 |
| Reference:
|
[11] W. Leighton M. Morse: Singular quadratic functionals.Trans. Amer. Math. Soc. 40 (1936), 252-286. MR 1501873 |
| Reference:
|
[12] W. Leighton: Principal quadratic functionals.Trans. Amer. Math. Soc. 68 (1949), 253-274 Zbl 0041.22404, MR 0034535 |
| Reference:
|
[13] W. Leighton A. Martin: Quadratic functionals with a singular end point.Trans. Amer. Math. Soc. 78 (1955), 98-128. MR 0066570 |
| Reference:
|
[14] M. Morse: Singular quadratic functionals.Math. Ann. 201 (1973), 315-340. Zbl 0237.49013, MR 0343150 |
| Reference:
|
[15] 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. MR 1451874 |
| Reference:
|
[16] W. T. Reid: Sturmian Theory for Ordinary Differential Equations.Springer-Verlag, New York-Berlin-Heidelberg 1980. Zbl 0459.34001, MR 0606199 |
| Reference:
|
[17] E. C. Tomastic: Singular quadratic functionals of n dependent variables.Trans. Amer. Math. Soc. 124 (1966), 60-76. MR 0196556 |
| Reference:
|
[18] E. C. Tomastik: Principal quadratic functionals.Trans. Amer. Math. Soc. 218 (1976), 297-309. Zbl 0346.49013, MR 0405208 |
| . |
