Second phase matrix of differential systems Y ' + P ( x ) Y = 0

Ondřej Došlý

Časopis pro pěstování matematiky (1987)

  • Volume: 112, Issue: 4, page 381-389
  • ISSN: 0528-2195

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Došlý, Ondřej. "Second phase matrix of differential systems $Y^{\prime }+P(x)Y=0$." Časopis pro pěstování matematiky 112.4 (1987): 381-389. <http://eudml.org/doc/19383>.

@article{Došlý1987,
author = {Došlý, Ondřej},
journal = {Časopis pro pěstování matematiky},
keywords = {selfadjoint differential systems; first phase matrix; trigonometric matrices; associated system; scalar differential equation of the second order; second phase matrix},
language = {eng},
number = {4},
pages = {381-389},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {Second phase matrix of differential systems $Y^\{\prime \}+P(x)Y=0$},
url = {http://eudml.org/doc/19383},
volume = {112},
year = {1987},
}

TY - JOUR
AU - Došlý, Ondřej
TI - Second phase matrix of differential systems $Y^{\prime }+P(x)Y=0$
JO - Časopis pro pěstování matematiky
PY - 1987
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 112
IS - 4
SP - 381
EP - 389
LA - eng
KW - selfadjoint differential systems; first phase matrix; trigonometric matrices; associated system; scalar differential equation of the second order; second phase matrix
UR - http://eudml.org/doc/19383
ER -

References

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  1. J. H. Barrett, A Prüfer transformation for matrix differential equations, Proc. Amer. Math Soc. 8 (1957), 510-518. (1957) Zbl0079.10603MR0087821
  2. R. Bellman, Introduction to matrix analysis, McGгaw-Hill, New York. Zbl0872.15003
  3. O. Borůvka, Lineaг differential transformations of the second order, Acad. Press, London 1971. (1971) MR0463539
  4. O. Došlý, A phase matrix of lineaг diffeгential systems, Čas. pěst. mat. 110 (1985), 183-192. (1985) MR0796568
  5. O. Došlý, The basic properties of the phase matгices of linear differential systems, Arch. Math. 21 (1985), 113-122. (1985) MR0817553
  6. O. Došlý, On transformations of selfadjoint linear differential systems, Arch. Math. 21 (1985), 159-170. (1985) Zbl0586.34034MR0833126
  7. O. Došlý, On some properties of trigonometгic matrices, Čas. pěst. mat. 112 (1987), (1987) MR0897644
  8. G. J. Etgen, Oscillation properties of certain nonlinear matrix differential equations of second order, Trans. Ameг. Math. Soc. 122 (1966), 289-310. (1966) Zbl0151.12302MR0190421
  9. G. J. Etgen, A note on trigonometric matгices, Proc. Amer. Math. Soc. 17 (1966), 1226 to 1232. (1966) Zbl0152.08403MR0213646
  10. W. T. Reid, A Prüfer transformation for differential systems, Pacific Ј. Math. 8 (1958), 575-584. (1958) Zbl0102.30004MR0099474

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