Singular quadratic functionals and transformation of linear Hamiltonian systems

Zuzana Došlá

Archivum Mathematicum (1989)

  • Volume: 025, Issue: 4, page 223-234
  • ISSN: 0044-8753

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Došlá, Zuzana. "Singular quadratic functionals and transformation of linear Hamiltonian systems." Archivum Mathematicum 025.4 (1989): 223-234. <http://eudml.org/doc/18276>.

@article{Došlá1989,
author = {Došlá, Zuzana},
journal = {Archivum Mathematicum},
language = {eng},
number = {4},
pages = {223-234},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Singular quadratic functionals and transformation of linear Hamiltonian systems},
url = {http://eudml.org/doc/18276},
volume = {025},
year = {1989},
}

TY - JOUR
AU - Došlá, Zuzana
TI - Singular quadratic functionals and transformation of linear Hamiltonian systems
JO - Archivum Mathematicum
PY - 1989
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 025
IS - 4
SP - 223
EP - 234
LA - eng
UR - http://eudml.org/doc/18276
ER -

References

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  2. J. H. Barrett, A Prüfer transformation for matrix differential equations, Proc. Ameг. Math. Soc. 8 (1957), 510-518. (1957) Zbl0079.10603MR0087821
  3. O. Borůvka, Lineare Differential transformationen 2. Ordung, VEB Verlag Berlin 1967. (1967) Zbl0153.11201MR0236448
  4. W. A. Coppel, Disconjugacy, Lectures Notes in Math. 220, Springer-Verlag, New York-Berlin-Heidelberg 1971. (1971) Zbl0224.34003MR0460785
  5. Z. Došlá O. Došlý, On transformations of singular quadratic functionals corresponding to equation ( p y ' ) ' + q y = 0 , Arch. Math. (Brno) 24, No. 2 (1988), 75-82. (1988) Zbl0671.34010MR0983225
  6. O. Došlý, On transformation and oscillation of self-adjoint linear differential systems and the reciprocals, to appear in Annal. Pol. Math. Zbl0712.34010
  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. (1958) MR0102639
  8. V. Kaňovský, Global transformations of linear differential equations and quadratic functionals I, Arch. Math. 19 (1983). (1983) Zbl0548.34039MR0725199
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  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. (1971) MR0322242
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  12. W. Leighton, Principal quadratic functionals, Trans. Amer. Math. Soc. 68 (1949), 253-274 (1949) Zbl0041.22404MR0034535
  13. W. Leighton A. Martin, Quadratic functionals with a singular end point, Trans. Amer. Math. Soc. 78 (1955), 98-128. (1955) Zbl0064.35401MR0066570
  14. M. Morse, Singular quadratic functionals, Math. Ann. 201 (1973), 315-340. (1973) Zbl0237.49013MR0343150
  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. (1960) Zbl0011.02802MR1451874
  16. W. T. Reid, Sturmian Theory for Ordinary Differential Equations, Springer-Verlag, New York-Berlin-Heidelberg 1980. (1980) Zbl0459.34001MR0606199
  17. E. C. Tomastic, Singular quadratic functionals of n dependent variables, Trans. Amer. Math. Soc. 124 (1966), 60-76. (1966) MR0196556
  18. E. C. Tomastik, Principal quadratic functionals, Trans. Amer. Math. Soc. 218 (1976), 297-309. (1976) Zbl0346.49013MR0405208

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