On transformations of self-adjoint linear differential systems

Ondřej Došlý

Archivum Mathematicum (1985)

  • Volume: 021, Issue: 3, page 159-170
  • ISSN: 0044-8753

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Došlý, Ondřej. "On transformations of self-adjoint linear differential systems." Archivum Mathematicum 021.3 (1985): 159-170. <http://eudml.org/doc/18165>.

@article{Došlý1985,
author = {Došlý, Ondřej},
journal = {Archivum Mathematicum},
keywords = {second order differential equation; isotropic solution; disconjugate systems; self-adjoint linear differential systems; canonical representation},
language = {eng},
number = {3},
pages = {159-170},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On transformations of self-adjoint linear differential systems},
url = {http://eudml.org/doc/18165},
volume = {021},
year = {1985},
}

TY - JOUR
AU - Došlý, Ondřej
TI - On transformations of self-adjoint linear differential systems
JO - Archivum Mathematicum
PY - 1985
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 021
IS - 3
SP - 159
EP - 170
LA - eng
KW - second order differential equation; isotropic solution; disconjugate systems; self-adjoint linear differential systems; canonical representation
UR - http://eudml.org/doc/18165
ER -

References

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  1. C. D. Ahlbrand D. B. Hinton R. T. Lewis, The effect of variable change on oscillation and disconjugate criteria with application to spectral theory, J. Math. Anal. Appl. 81 (1981) 234-277. (1981) MR0618771
  2. E. Barvínek, Quadratic phases of differential equations y" + q(t)y = 0, Arch. Math. 8 (1972) 63-78. (1972) MR0326037
  3. R. Bellman, Introduction to matrix analysis, McGraw-Hill New York 1971. (1971) MR0122820
  4. D. F. St. Mary, On transformation and oscillation of linear differential systems, Canad. J. Math. 29 (1977) 392-399. (1977) Zbl0332.34028MR0427744
  5. O. Došlý, A phase matrix of linear differential systems, to appear in Časopis pro pěstování matematiky. MR0796568
  6. O. Došlý, The basic properties of phase matrices, to appear in Аrch. Math. 
  7. V. А. Jakubovič, Uslovia kalebatělnosti i nekalebatělnosti linejnych kanoničeskich system, Dokl. Аkad. Nauk SSSR 124 (1959) 994-997. (1959) MR0104880
  8. J. Radon, Zum Problem von Lagrange, Аbh. Math. Sem. Univ. Hambuгg 6 (1928) 273-279. (1928) 
  9. W. T. Reid, Ordinary Differential Equations, John Wiley, New Yoгk 1971. (1971) Zbl0212.10901MR0273082
  10. R. L. Sternberg, Variational methods and non-oscillatory theorems for systems of differential equations, Duke Math. J. 19 (1952) 311-322. (1952) MR0048668

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